Parallel lines have equivalent slopes, so as the slope of the given line is 3, the slope of the line we want to find is also 3.
Substituting into point-slope form,
\(y-2=3(x+2)\\\\y-2=3x+6\\\\\boxed{y=3x+8}\)
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
.
• Oxford, MS, has an elevation of 178 feet.
Death Valley, CA, has an elevation of - 282 feet.
New Orleans, LA, has an elevation of O feet.
• West Palm Beach, FL, has an elevation of 13 feet.
Based upon the given information, select all of the true statements. •
Oxford, MS, has the highest elevation.
•Death Valley, CA, has the lowest elevation.
•West Palm Beach, FL, has the lowest elevation.
•The elevation of Death Valley, CA, is at sea level.
•The elevation of New Orleans, LA, is at sea level.
•The elevation of Death Valley, CA, is the furthest from sea level.
•The elevation of New Orleans, LA, is the furthest from sea level.
C, D, F
because i said so ok dumbies
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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What is the result for solving the equation for "c"?
Bc + ax =p
Answer:eeeeeStep-by-step explanation:
treeee
work out the following questions
Answer:
a)8/21
b)1/9
Step-by-step explanation:
because when we divide fraction we resprocal the divisor
Answer:
A= 8/21 B= 1/9
Step-by-step explanation:
A= 2x4 7x3
Just multiply straight across:)
B= 5x1 > 9x5 = 1/9
Hope this helps!
A person leaves home and walks 4 miles west, then 5 miles southwest.
How far from home is she?
miles
In what direction must she walk to head directly home?
degrees North of East
The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.
To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).
To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).
To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.
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what is the solution to this equation? −5(p−30)=−10 pls help asap
Answer:
p = 32
Step-by-step explanation:
-5(p -30) = -10
-5p + 150 = -10
-150 -150
_______________
-5p=-160
p = 32
A spinner has regions numbered 1 through 15. What is the probability that the
spinner will stop on an even number or a multiple of 3?
Answer:
41
Step-by-step explanation:
i did it before kwndjejfjfjf
Answer:
2/3 or 66.66%Step-by-step explanation:
Even numbers:
2, 4, 6, 8, 10, 12, 14Multiples of 3:
3, 6, 9, 12, 15Total number of even numbers or multiples of 3 discounting repeats is 10.
Required probability is:
P = 10/15 = 2/3 or 66.66%This square potholder has a side of 8 inches. What is its area?
Answer:
64 i\(n^2\\\)
Step-by-step explanation:
ok so first the shape is a square which means all sides are the same length so
8*8 = 64
Have a nice day! :-)
Of the 12 people who show up, 2 are women. How many ways are there to choose 10 players to take the field if at least one of these players must be women?
Answer:
2 ways to choose 10 players.
Step-by-step explanation:
One possibility is 9 players with 1 woman.
Another possibility is 8 players with 2 women.
The equation y=195(1.10)x can be used to represent growth in the number of Salad Supreme restaurants since 2005. Which is the most reasonable conclusion based on this information? A. Salad Supreme had 110 restaurants in 2005. B. Salad Supreme is increasing the number of restaurants by 10% each year. C. Salad Supreme is increasing the number of restaurants by 195 each year. D. Salad Supreme is increasing the number of restaurants by 110% each year.
The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B
How to determine the most reasonable conclusionBased on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:
A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.
B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.
C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.
D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.
Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.
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Write -3 7/5 as a decimal number
-3.875 or -3.88 depending on how many significant figures you're supposed to be using
Help please easy question please help please
Answer:
y = 4x - 11
Step-by-step explanation:
Point-Slope Form: \((y-y_0)=m(x-x_o)\)
Given information:
y = 4x - 7. Through (3,1)
m = 4.
Thus, using m = 4 and point (3,1) in Point-Slope Form can make another equation that is parallel to y = 4x - 7.
\((y-y_0)=m(x-x_o)\\\\(y-(1))=4(x-(3))\\\\y-1=4(x-3)\\\\y-1=4x-12\\\\y=4x-11\)
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
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A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?
Explanation:
A = set of odd numbers = {1,3,5}
B = set of factors of 12 = {1,2,3,4,6}
A U B = union of set A and set B
A U B = {1,3,5} union {1,2,3,4,6}
A U B = {1,3,5, 1,2,3,4,6}
A U B = {1,2,3,4,5,6}
The set union operation combines two sets into one bigger set. Duplicates are tossed out.
There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.
Therefore, the probability event A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.
Side notes:
A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.Given PR = RQ, find the measure of arc RQ and the Measure of arc PQ.
12. mRQ=
13. mPQ=
The measure of LABD = 11x - 3 and mZACD = 8x + 15. Find the following:
112
14. x=
15. mLABD =
17
16. m AD =
3/11
110'
(11x-3) B
E
(8x + 15)*
Please show work
Answer:
x = 8
Step-by-step explanation:
Intersecting tangent and secant theorem:
If a tangent and a secant are drawn to the circle from a point from outside, the square of the measure of the tangent is equal to the product of the measures of the secant segment and its external secant segment.
x² = (4+12)*4
x² = 16 * 4
x² = 64
x = √64
x = 8
The Antique Auto News charges $10 for a 10-word classified ad. Each additional word costs $0.40. For an extra $40, a seller can include a photo in the ad. How much would a 20-word ad with a photo cost?
Answer: $60
Step-by-step explanation:
Here is why:
For 20 -word ad it will be $20 because of twice the amount of the 10 word amount. and another $40 for the photo!
And you get $60!
Any Questions
It will cost $54 for an 20 word ad and a photo.
We have Antique Auto News agency which charges $10 for a 10-word classified ad. Each additional word costs $0.40 and for an extra $40, a seller can include a photo in the ad.
We have to determine much would it cost for a 20-word ad with a photo.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to the question, we have -
Cost of 10-word classified ad → $10
Additional word cost → $0.40
Additional Photo cost → $40
Therefore -
Assume that for a 20-word ad with a photo costs $x.
Therefore -
x = 10 + 0.40 x 10 + 40
x = 10 + 4 + 40
x = 54
Hence, it will cost $54 for an 20 word ad and a photo.
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Use slopes to determine if the lines 6x + 9y = 2 and 9x + 6y = -3 are perpendicular.
14 x ? = 7 (please help)
Answer:
1/2
Step-by-step explanation:
1/2 of 14 = 7
You are dividing by 2 when you multiply by 1/2
Answer:
1/2
Step-by-step explanation:
is u dumb
Janelle wrote the matrix addition below.
Which statement is true?
(n+4)-7=18
((m-1) +12)+0=12
((s +1)-18)+11=-28
n+(m-1) + (s+1) =-28
TIMED TEST PLEASE HELP!
Answer:
I think the second option is the right answer
So it will be ((m-1)+12)+0=12.
ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT
Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
Triangle ABC is dilated by a scale factor of 2 to form triangle A' B' C Perimeter ABC = 18 in. Area ABC = 20 in.2 What is the PERIMETER of the new Triangle A'B'C' Select one: O a. 54 in O b. 72 in O c. 18 in d. 36 in
Perimeter ABC = 18 in
Area ABC = 20 in^2
Perimeter of new Triangle A'B'C' = 2 x 18 in = 36 in ----------------- option D
What is the product of the 4 x and the 3 x cubed y squared minus 2 x y cubed?
Answer:
4xy ×3xy -2xy
12xy-2xy
10xy
The double number line shows that the distance from the start of a hiking trail to a cave
entrance is 700 m.
Answer:
100, 25, 50
Step-by-step explanation:
\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)
please can anyone help me with this question what is the probability of the spinner landing on an even number.
Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
Using a table, find the range of the function for the given domain:
f(x)=2x+7 with domain: x = {2, 3, 5, 9}
A. y = {9, 10, 12, 16}
B. y = {11, 13, 17, 25}
C. y = {4, 6, 10, 18}
D. y = {-11, -13, -17, -25}
f(x)=2x+7
domain: x = {2, 3, 5, 9}
Explanation:Replace each x value and solve for y
x=2
f(2)= 2(2) + 7 = 4 + 7 = 11
x=3
f(3)= 2(3) + 7 = 6 + 7 = 13
x=5
f(5)= 2(5) + 7 = 10 + 7 = 17
x=9
f(9)= 2(9) + 7 = 18 + 7 = 25
Answer:B. y = {11, 13, 17, 25}We can find the range of the function by plugging in each value in the domain into the function and listing the output values:
When x = 2, f(2) = 2(2) + 7 = 11
When x = 3, f(3) = 2(3) + 7 = 13
When x = 5, f(5) = 2(5) + 7 = 17
When x = 9, f(9) = 2(9) + 7 = 25
Therefore, the range of the function for the given domain is y = {11, 13, 17, 25}.
Hence, the correct answer is B. y = {11, 13, 17, 25}.
HELP PLEASE IT DUE AT 11:10
Answer:
B
Step-by-step explanation:
The line plot clearly lacks the 3 3/4 which is present in the data
14. In a garden 746496 apple trees are arranged in such a way that, there are as inany rows as there are in a row. How many rows are there in the garden
Answer:
864
Step-by-step explanation:
do the square root of the total number