Answer:
its clearly B because you change the first sign ( from - to +) so it ia 2 + then also change the next sign ( from - to +) so now it becomes 2 + 8.
Step-by-step explanation:
Answer:
B. 2+(8)=10
Step-by-step explanation:
you can rewright a prob to simplify
The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper. What is the area of the circle on the paper? Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
The area of the circle on the paper is 4.5 cm when traced around the edge of the quarter on a sheet of paper.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper.
The area of the circle on the paper = πr²
Here r = (diameter of a quarter)/2 = 2.4/2 = 1.2 cm
The area of the circle on the paper = π(1.2)²
The area of the circle on the paper = π × 1.44
The area of the circle on the paper = 4.5238
Round the answer to the nearest tenth.
The area of the circle on the paper = 4.5 cm
Thus, the area of the circle on the paper is 4.5 cm
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Answer:its 4.5
Step-by-step explanation:
Find the first three terms of the sequence:
a₁ = 2.25, an = an-1 +0.5
The first three terms of the sequence are 2.25, 2.30, and 2.35.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
a(1) = 2.25
a(n) = a(n - 1) + 0.5
Now,
The first term = 2.25
The second term.
a(2) = a(1) + 0.5
= 2.25 + 0.5
= 2.30
The third term.
a(3) = a(2) + 0.5
= 2.30 + 0.5
= 2.35
Thus,
The first three terms are 2.25, 2.30, and 2.35.
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what two fractions equal 2
A. 1/2
B. 2/4
C. 2/1
D. 2/2
E. 4/2
Answer:
C and E
Step-by-step explanation:
simplify 2/1 and you get 2. simplify 4/2 and you also get 2
The answers are C And D
How large a sample must be obtained to be 94% confident that the true mean IQV is within 2 points of the sample mean
A sample size of 200 must be obtained to be 94% confident that the true mean IQ is within 2 points of the sample mean, assuming a population standard deviation of 15.
To determine the sample size required to be 94% confident that the true mean IQ (µ) is within 2 points of the sample mean, we will use the following terms:
Confidence level (94%)
Margin of error (E) - 2 points
Population standard deviation (σ) - we need this value to calculate the sample size.
Z-score (Z) - the number of standard deviations away from the mean, corresponding to the given confidence level.
Since the standard deviation of the population (σ) is not provided, I will assume a typical value for IQ scores, which is 15.
If you have a different value, you can plug it into the formula.
Steps to determine the sample size (n):
Find the Z-score (Z) corresponding to the 94% confidence level. You can use a Z-score table or calculator. For 94% confidence level, the Z-score is approximately 1.88.
Determine the margin of error (E), which is given as 2 points.
Use the sample size formula:
\(n = (Z^2 * \sigma ^2) / E^2\)
\(n = (1.88^2 * 15^2) / 2^2\)
n = (3.5344 * 225) / 4
n = 797.52 / 4
n = 199.38.
Round up the value of n to the nearest whole number, as you cannot have a fraction of a sample.
In this case, n = 200.
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A 22-foot ladder is leaned against a brick wall. The base of the ladder is 6 feet from the wall. What is the height of the wall?
Answer:
s
Step-by-step explanation:
PLEASE HELP ASAP ILL GIVE 100 POINTS TO ANYONE THAT ANSWERS CORRECTLY
Answer:
1/5
Step-by-step explanation:
I think thats right idI dont knowk ahaha sorry if its not
Angelica cuts a piece of decorative contact paper to fit the back of a circular mirror. The mirror has a circumference 12π inches.
What is the area, in square inches, of the piece of decorative contact paper that Angelica cuts?
\large C=\pi d
\large A=\pi r^2
a
\large 12\pi
b
\large 36\pi
c
\large 144\pi
d
\large 6\pi
The area of the decorative is (b) 36π square inches.
How to determine the area of the decorativeThe area of a circle can be found by using the formula A = πr^2, where A is the area and r is the radius of the circle.
Since the circumference of the mirror is 12π inches, we can use the formula C = 2πr to find the radius of the mirror.
12π = 2πr
r = 6
So, the radius of the mirror is 6 inches.
Then, we can use that information to find the area of the mirror:
A = πr^2
A = π(6^2)
A = 36π square inches.
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what dose SOH CAH TOA meaning
Answer:
SOH= Sine is Opposite divided by Hypotenuse.
CAH= Cosine equals Adjacent over Hypotenuse.
TOA= Tangent equals Opposite over Adjacent.
Step-by-step explanation:
soh -opposite/hypotenuse
cah-adjacencent/hypotenuse
toa
suppose we have 2 fair 6-sided dice numbered from 1 to 6. if we roll them both, what is the probability that the two numbers shown sum to 7?
The probability of the two fair six sided dice thrown together and getting sum of shown numbers to 7 is equal to ( 1/ 7).
As given in the question,
Number of times both 6-sided fair dice rolled out = 2
Dice is numbered from 1 to 6
As both the dice rolled together order does not matter
Total possible outcomes are:
= { ( 1,1 ), (1,2) , (1,3),(1,4), (1,5), 1,6), (2,2), (2,3),(2,4),(2,5), (2,6), (3,3),(3,4), (3,5) ,(3,6), (4,4), (4,5), (4,6), (5,5), (5,6), (6,6) }
Total number of outcomes = 21
Dice shows sum of numbers to 7 are
= {(1,6), (2,5), (3,4), }
Number of favourable outcomes = 3
Probability of the thrown dice sum shows number 7
= (Number of favourable outcomes)/ (Total number of outcomes)
= 3 /21
= 1 / 7
Therefore, probability of the two six sided dice thrown together and show sum of numbers to 7 is equal to (1/7).
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What is the area of figure plz help
the area of the figure is 113
whats 4000 x48. i'm to lazy to use a countulater
Answer: 192,000
Step-by-step explanation:
If it was a snow day what would you do?
Answer:
Probably play video games and drink hot chocolate. Maybe go sledding to.
Step-by-step explanation:
Answer:
At first thanks for asking the question
Step-by-step explanation:
I would go outside and make snowman and play with snowball, I would also ask my friends to come with me , we would have fun until the evening, we would run and throw Snow balls.
Is this a function or no?
Answer:
No!
Step-by-step explanation:the x value repeats twice
Answer:
No
Step-by-step explanation:
Because 1,-1 and 1,-6 have the same x value
Help someone pls I’m begging u
Answer:
\(\tt SA=3541.92\: cm^2\)
Step-by-step explanation:
\(\tt SA=2\times 3.14\times 12(35+12)\)
\(\tt 2\times \:12\times \:47\times \:3.14\)
\(\tt 3541.92\)
~
After a cab ride, Jacob's total fare was $35. He paid the cab driver a 15% tip. How much was the tip? Thank you and plz hep i will be putting more and more questions about 4 more
Answer:
$5.25
Step-by-step explanation:
Given data
Total cost for the ride= $35
Tip= 15%
Let us find 15% of $35
=15/100*35
=0.15*35
=$5.25
Hence the amount of the tip is $5.25
Solve for x.
e^2x+3=10
Enter your answer, rounded to the nearest hundredth, in the box.
Answer of the equation is x ≈ 0.93.
What is the solution for the equation?To solve for x in the equation e^(2x+3) = 10, we need to isolate the exponential term on one side and take the natural logarithm of both sides.
First, we can start by subtracting 3 from both sides:
\(e^{(2x+3)} - 3 = 10 - 3\)
\(e^{(2x+3)} - 3 = 7\)
Then, we can take the natural logarithm of both sides:
\(ln(e^{(2x+3)} - 3) = ln(7)\)
Using the logarithmic property that ln(e^y) = y, we can simplify the left side of the equation to:
\(2x + 3 - ln(3) = ln(7)\)
Finally, we can solve for x by isolating the variable on one side:
\(2x = ln(7) - 3 + ln(3)\)
\(x = (ln(7) - 3 + ln(3)) / 2\)
Using a calculator to evaluate this expression, we get:
x ≈ 0.93 (rounded to the nearest hundredth)
Therefore, the solution to the equation \(e^{(2x+3)} = 10\) is x ≈ 0.93.
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Make a substitution to express the integrand as a rational function and then evaluate the integral
∫ 3cos(x) / sin^2(x)+sin(x) dx
The evaluated integral is 3∫(1 / (u(u+1))) du.
To evaluate the integral ∫(3cos(x) / (sin²(x) + sin(x))) dx, we'll use substitution to express the integrand as a rational function.
Step 1: Make the substitution: Let u = sin(x). Then, du/dx = cos(x), or du = cos(x) dx.
Step 2: Rewrite the integral: The integral becomes ∫(3 / (u² + u)) du.
Step 3: Evaluate the integral: This can be done by partial fraction decomposition.
We substituted sin(x) with u and cos(x) dx with du, simplifying the integrand into a rational function. Now, we can use partial fraction decomposition to further evaluate the integral, which will lead to a simpler expression for the final answer.
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A mathematician is wondering what would happen to the surface area of a square if you were to repeatedly cut the square in half. She concludes that the surface area would become less and less but would never become zero units\(^2\). Which equation would help her model the surface area of a square piece of paper as it was repeatedly cut?
a) \(y=x^2+4x-16\)
b) \(y=-25x^2\)
c) \(y=9(2)^x\)
d) \(y=36(\frac{1}{2})^x\)
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)
Option D is the correct answer.
We have,
In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.
As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.
This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²
Thus,
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).
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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is: \(\(y=36(\frac{1}{2})^x\)\)
As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).
Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.
and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.
and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.
and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.
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which pairs of angles in the figure below are vertical angles
i do not have a picture of the diagram to show you
thanks
The cοrrect οptiοns are OPTION(A) Angles ∠LRE and ∠FRA and
OPTION(D) ∠TRF and ∠NRL.
What is Vertical angle?Each οf the pairs οf οppοsite angles made by twο intersecting lines is called Vertical angle.
Optiοn A)∠LRE and ∠FRA
These lines are fοrming ∠LRE and ∠FRA
Sο,∠LRE and ∠FRA are vertical angles.
Optiοn B)∠ARS and ∠ERN
These angles have a cοmmοn angle that is ∠SRN
Sο,∠ARS and ∠ERN are nοt vertical angles.
Optiοn C: ∠NRA and ∠SRL
Sο, ∠NRA and ∠SRL are nοt vertical angles.
Optiοn D: ∠TRF and ∠NRL
LF and TN are twο intersecting lines at R
These lines are fοrming ∠TRF and ∠NRL
Sο,∠TRF and ∠NRL are vertical angles.
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The complete question is given below.
Simplify the ratio:
18,750 : 216 =
Answer:
both ratios together is 21618750 is 363125
18,750 = A
216= B
18,750 : 216 = 3125 : 36
Step-by-step explanation:
hope that helps>3
assume that 10% of people are left-handeed. if 6 eople are selected at random, find the probability of each outcome
The probabilities of each outcome are:P(X = 0) = (6 C 0) * 0.10^0 * 0.90^6 = 0.5314.
Assuming that 10% of people are left-handed, we are to find the probability of each outcome when 6 people are selected at random. The question does not specify if replacement is allowed or not, so we will assume replacement is not allowed. We can use the binomial probability formula to solve the problem.
The binomial probability formula for n independent trials is:P(X = k) = (n C k) * p^k * q^(n-k)where n is the total number of trials, k is the number of successful trials, p is the probability of success, and q is the probability of failure. Also, (n C k) = n!/[k! * (n-k)!] is the binomial coefficient, which gives the number of ways k successes can be selected from n trials.
Let X be the number of left-handed people selected. Then X follows the binomial distribution with parameters n = 6 and p = 0.10 (the probability of selecting a left-handed person). Using the binomial formula, we can find the probability of each outcome:P(X = 0) = (6 C 0) * 0.10^0 * 0.90^6 = 0.5314 (rounded to four decimal places)P(X = 1) = (6 C 1) * 0.10^1 * 0.90^5 = 0.3352P(X = 2) = (6 C 2) * 0.10^2 * 0.90^4 = 0.1130P(X = 3) = (6 C 3) * 0.10^3 * 0.90^3 = 0.0202P(X = 4) = (6 C 4) * 0.10^4 * 0.90^2 = 0.0018P(X = 5) = (6 C 5) * 0.10^5 * 0.90^1 = 0.0001P(X = 6) = (6 C 6) * 0.10^6 * 0.90^0 = 0.0000 (rounded to four decimal places).
Assuming that 10% of people are left-handed, we want to find the probability of each outcome when 6 people are chosen at random. Let X be the number of left-handed people chosen. Then X follows the binomial distribution with parameters n = 6 and p = 0.10. The probability of X = k is given by:P(X = k) = (n C k) * p^k * (1-p)^(n-k)where (n C k) = n!/[k! * (n-k)!] is the binomial coefficient.
The probabilities of each outcome are:P(X = 0) = (6 C 0) * 0.10^0 * 0.90^6 = 0.5314 (rounded to four decimal places)P(X = 1) = (6 C 1) * 0.10^1 * 0.90^5 = 0.3352P(X = 2) = (6 C 2) * 0.10^2 * 0.90^4 = 0.1130P(X = 3) = (6 C 3) * 0.10^3 * 0.90^3 = 0.0202P(X = 4) = (6 C 4) * 0.10^4 * 0.90^2 = 0.0018P(X = 5) = (6 C 5) * 0.10^5 * 0.90^1 = 0.0001P(X = 6) = (6 C 6) * 0.10^6 * 0.90^0 = 0.0000 (rounded to four decimal places) .
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Solve for X
50 POINTS IN IT FOR YOU, ILL GIVE THANK, BRIANLIEST AND 5 STARS
\(\\ \sf\longmapsto x^2=3(9)\)
\(\\ \sf\longmapsto x^2=27\)
\(\\ \sf\longmapsto x=\sqrt{27}\)
\(\\ \sf\longmapsto x\approx 5.2\)
\(x^2 = 3(9)\)
\(x^2 = 27 \)
\(x = \sqrt {27}\)
\(x = 5.2 \)
Alyssa wants to play the game. Choose the statement below that is correct in all aspects. E(penny) = –0.33 and E(nickel) = 0.33, so she should play with the nickels. E(penny) = 0.5 and E(nickel) = 1.5, so she should play with the nickels. E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies. E(penny) = 2.38 and E(nickel) = 2, so she should play with the pennies
Using the expected value of a discrete distribution, the correct option is given as follows:
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
What is the expected value of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
When 3 coins are tossed, the probabilities are given as follows:
All heads: (1/2)^3 = 0.125.All tails: (1/2)^3 = 0.125.At least one of each: 1 - 2(0.125) = 0.75.Hence the distribution for the penny points is:
P(X = -2) = 0.25.P(X = 3) = 0.75.The expected value for the penny points is:
-2 x 0.25 + 3 x 0.75 = 1.75.
When 2 coins are tossed, the probabilities are given as follows:
All heads: (1/2)² = 0.25.All tails: (1/2)² = 0.25.At least one of each: 1 - 2(0.25) = 0.50.Hence the distribution for the nickel points is:
P(X = -2) = 0.5.P(X = 5) = 0.5.The expected value of nickel points is:
E(X) = -2 x 0.5 + 5 x 0.5 = 1.5.
Due to the higher expected value, she should play with the pennies and the third option is correct.
What is the missing information?
The complete problem is given by the image at the end of the answer;
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Answer:
The answer is C
Step-by-step explanation:
edge
Two archers shoot at a target. The distance of each shot from the center of the target is uniformly distributed from 0 to 1, independent of the other shot. What is the PDF of the distance of the losing shot from the center
The distance of the losing shot from the center is also uniformly distributed from 0 to 1. To find the PDF of the distance of the losing shot from the center, we need to first determine the probability of one shot being closer to the center than the other.
Let X be the distance of the first shot from the center, and Y be the distance of the second shot from the center. Then, the probability that X is closer to the center than Y is given by the area of the region where X < Y, which is a triangular region with base 1 and height 1/2 (since the probability of X being closer to the center than Y is the same as the probability of Y being closer to the center than X). Therefore, the probability of X being closer to the center than Y is 1/4.
Now, let Z be the distance of the losing shot from the center. We know that Z is equal to the distance of the second shot from the center if the second shot is closer to the center than the first shot, and it is equal to the distance of the first shot from the center if the first shot is closer to the center than the second shot. Therefore, the PDF of Z is given by:
fZ(z) = (1/4)fY(z) + (3/4)fX(z)
where fX(x) and fY(y) are the PDFs of X and Y, respectively. Since X and Y are uniformly distributed from 0 to 1, their PDFs are both equal to 1 for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. Therefore, we have:
fZ(z) = (1/4) + (3/4) = 1
for 0 ≤ z ≤ 1. This means that the distance of the losing shot from the center is also uniformly distributed from 0 to 1.
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The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.
The volume of the prism which is filled with 135 cubes is 5 cubic feet.
What is the Volume of Cube ?
The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.
Here Prism is filled with 135 cubes.
Volume of prism = volume of 135 cubes
= 135 X side X side X side
= 135 X 1/3 X 1/3 X 1/3
= 135 / 27
Volume of prism = 5 cu. feet
Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.
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Lucas bought a tablet that was on sale at a 15% discount your supra case for $24.99 which is been a total of $237.49 written equation to find the original cost of the tablet
The original cost of the tablet is $70.89 in the given algebraic equation.
What is algebraic equation?A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.
Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.
Let the original cost be x
then
15/100 = 24.99.x
x = 166.6
237.49 - 166.6
= $70.89
Thus, the original cost of the tablet is $70.89 in the given algebraic equations.
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Full question?
Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?
Q3: Write the equation in slope-intercept form of the line that is parallel to the
graph of each equation and passes through the given point.
1. y = 3x + 6; (4, 7)
3. y = 1/2 x + 5; (4,-5)
The equations of the lines are y = 3x - 5 and y = (1/2)x - 7
What is an equation?An equation is an expression that shows how numbers and variables are related to each other.
A linear function is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Two lines are parallel if they have the same slope
1) y = 3x + 6; (4, 7)
The parallel line would have a slope of 3 and pass through (4, 7), hence:
y - 7 = 3(x - 4)
y = 3x - 5
2) y = (1/2)x + 5; (4, -5)
The parallel line would have a slope of 1/2 and pass through (4, -5), hence:
y - (-5) = (1/2)(x - 4)
y = (1/2)x - 7
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Let f(x)=3 x+5 and let g(x)=x²+2 x . What is f(-3) . g(-3) ?
F. -32
G. -12
H. 9
I. 60
To find the value of f(-3) * g(-3), we substitute -3 into the functions f(x) and g(x) and then perform the multiplication.
Given the functions f(x) = 3x + 5 and g(x) = x² + 2x, we need to evaluate f(-3) * g(-3).
Substituting -3 into f(x), we have:
f(-3) = 3(-3) + 5 = -9 + 5 = -4.
Substituting -3 into g(x), we have:
g(-3) = (-3)² + 2(-3) = 9 - 6 = 3.
Now, we can find the value of f(-3) * g(-3):
f(-3) * g(-3) = (-4) * (3) = -12.
Therefore, the value of f(-3) * g(-3) is -12, so the correct answer is (G) -12.
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Finding the Missing Measures in a Hexagon
Find the missing measures in this regular hexagon.
The length of the apothem of the hexagon is about
inches.
The perimeter of the hexagon is
winches.
The area of the hexagon is about
inches.
square
16 in.
16 in.
The hexagon's apothem is approximately 13.856 inches long. The hexagon's perimeter is 96 inches. The hexagon has a surface area of approximately 665.088 square inches.
A hexagon is a six-sided polygon in geometry. The sum of any simple (non-self-intersecting) hexagon's internal angles is 720°.
Given that the length of a side is = 16 in
So half a side = 8 in
Using the Pythagorean theorem, calculate the area of the given right triangle.
Apothem = \(\sqrt{16^{2} - 8^{2} }\)
= \(\sqrt{256 - 64}\)
= √192
= 13.856 inches.
Now, we will calculate the perimeter of the hexagon. We have been given 6 sides of hexagon and each side length is 16 in, so
Perimeter = 16 × 6 = 96 inches
Area of hexagon = 1/2 × apothem × perimeter
= 1/2 × 13.856 × 96
= 665.088 inches
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Correct question:
Find the missing measures in this regular hexagon.
A regular hexagon has side lengths of 16 inches. The radius is 16 inches. An apothem is shown.
The length of the apothem of the hexagon is about ___inches.
The perimeter of the hexagon is ___ inches.
The area of the hexagon is about ___ square inches.
What is the slope of this line
Answer:
if I'm right 8,1 okkkkkk
Answer:
use y=mx + or - b to solve!
Step-by-step explanation:
Way to go!
With that you should get (8,1)