Find the midpoint of the segment with the endpoints: (-2, 6) and (-3, 7)
Answers
Answer:
The midpoint is ( -2.5, 6.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-2+-3)/2 = -5/2 = -2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+7)/2 = 13/2 = 6.5
The midpoint is ( -2.5, 6.5)
Related Questions
Mark and Jacob share 5 yards of ribbon equally. How much ribbon will each get?
Answers
Answer:
2.5 each
Step-by-step explanation:
dividing by 2......
Answer:
2.5 yards of ribbon.
Step-by-step explanation:
5 divided by 2= 2.5
Hope this helps :)
Convert 2.54 x 10^6 into standard notation
Answers
mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?
Answers
Answer:
Step-by-step explanation:
320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour
A six meter long ladder leans against a building. If the ladder makes an angle of 60° with the ground. How far up the wall does the ladder reach? (Round to the nearest tenth)
Answers
Step-by-step explanation:
step 1. This is a 30-60-90 triangle where the side opposite the 30° is the smallest and represented as x, the side opposite the 60 ° is the middle length at x(sqrt(3)) and the side opposite the 90° is the longest side at 2x. note: sqrt is the square root.
step 2. The ladder is 6m and is the 2x side.
step 3. The wall is across from the 60° side and is the x side.
step 4. if the 2x side is 6m then the x side is 3m.
step 5. The ladder is 3m up the side of the house.
I need help! could someone help me with this? is from Imagine Math
Answers
Answer:
1st: One solution
2nd: Infinite many solutions
3rd: No solution
4th: No Solution
5th: One Solution
Step-by-step explanation:
1st:
The solution is (6,9)
x = 6 if a vertical line going though (6,0)
y = 9 is a horizontal line going through (0,9)
The two lines with intersect at (6,9)
2nd:
3y = 15x + 6 If you divide all the way through by 3, you get
y = 5x + 2
This is identical to the first equation given. Since it is the same line, the answer is infinite many solutions.
3rd:
3y = x + 2 Divide all the way through by 3
y = 1/3 x + 2/3
9y = 3x + 7 Divide all the way through by 9
y = 1/3 x + 7/9
Since the slopes are the same in both equations (1/3), these line are parallel and will never intersect.
4th:
Since the slopes are both the same (2), the lines are parallel and they will never intersect, so the answer is no solution.
5th:
2y = 3x Divide both sides by 2
y = 3/2
-5y = -10 Divide both sides by -5
y = 2x
These equations are proportional so they go through the origin. They both have a y intercept of zero, so they intersect at (0,0). The answer is one solution.
In 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase. Suppose that it takes you one hour to stroll at a constant speed up one spiral of this staircase, which has a radius of 28 feet and a height of 60 feet and makes 6 revolutions.
a)Assuming the spiral staircase is centered about the z-axis, find a vector parametric equation for the helical path you take from the point (28,0,0) to the point (28,0,60) that makes 6 revolutions during the time interval 0≤t≤1.
b)How far did you walk?
Answers
a) The vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.
b) You walked a total distance of 840π feet.
a) To find the vector parametric equation for the helical path, we first note that the spiral staircase makes 6 complete revolutions as we climb from the bottom to the top. This means that as we climb 60 feet, we will make 6 full revolutions around the z-axis. Since the radius of the spiral is 28 feet, we can use the equation for a helix to describe our path.
r(t) = <28cos(θ), 28sin(θ), ht>
where θ is the angle of rotation around the z-axis and h is the height we have climbed. We know that we make 6 full revolutions, or 12π radians, as we climb from the bottom to the top, so we can substitute θ = 12πt. We also know that we climb 60 feet in one hour, so our height function is h(t) = 5t*12.
Thus, our vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.
b) To find the distance we walked, we need to integrate the magnitude of the velocity vector over the interval [0,1].
The velocity vector is the derivative of the position vector:
v(t) = < -336πsin(12πt), 336πcos(12πt), 60>
The magnitude of the velocity vector is:
|v(t)| = sqrt((-336πsin(12πt))^2 + (336πcos(12πt))^2 + 60^2) = 336π
Thus, the distance we walked is:
distance = ∫|v(t)|dt from 0 to 1 = ∫336π dt from 0 to 1 = 336π(1-0) = 336π
Therefore, we walked a total distance of 840π feet.
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Given the function y=2x and the domain (-1, 0, 1, 2), the corresponding range is (-2,
0.2, 6).
True
False
Answers
2x2≠6
On a test that has a normal distribution, a score of 29 falls two standard
deviations below the mean, and a score of 41 falls two standard deviations
above the mean. Determine the mean of this test.
Answers
The mean of this test is 35.
What is the Mean?
The mean is a measure of central tendency that represents the average of a set of data. It is calculated by summing all the values in a dataset and then dividing the sum by the number of values in the dataset. It is also known as the arithmetic mean or simply the average.
Let X be the mean of the test.
We know that a score of 29 falls two standard deviations below the mean, which means that X- 2 * standard deviation = 29.
Similarly, we know that a score of 41 falls two standard deviations above the mean, which means that X+ 2 * standard deviation = 41.
The mean of a normal distribution is the sum of the two values divided by two.
So:
Mean = (29+41)/2 = 70/2 = 35
The mean of this test is 35.
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Answer: 35
Step-by-step explanation:
A triangle has side lengths 25, 15x and 20x. The longest side is 25. What value for x proves that this triangle is a right triangle?
Answers
To prove that this triangle is a right triangle, we need to check the side lengths using pythogoras theorem.
Given:
Longest side = 25 unitsTriangle side lengths: 25, 15x, and 20xPutting the side lengths into pythogoras theorem:
⇒ \(25^{2} = 15^{2} + 20^{2}\)⇒ \(625 = (10x + 5x)^{2} + (20x + 0x)^{2}\)Using the formula "(a + b)² = a² + 2ab + b²
⇒ \(625 =[(10x)^{2} + 2(10x)(5x) + (5x)^{2} ] + [(20x)^{2} + 2(20x)(0) + (0)^{2} ]\)⇒ \(625 = [(10x)(10x) + 2(10x)(5x) + (5x)(5x)] + [(20x)(20x)]\)⇒ \(625 =[100x^{2} + 100x^{2} + 25x^{2} ] + [400x^{2} ]\)⇒ \(625 = 100x^{2} + 100x^{2} + 25x^{2} + 400x^{2}\)⇒ \(625 = 625x^{2}\)Divide both sides by 625:
⇒ \(\frac{625}{625} = \frac{625x^{2}}{625}\)⇒ \(1 = x^{2}\)⇒ \(\sqrt{1} = \sqrt{x^{2} }\)⇒ \(\sqrt{1 \times 1} = \sqrt{x \times x }\)⇒ \(1 = x\)The value of x that proves this triangle a right triangle is 1.
x = 1
If it is a right angle triangle
→ (short side)² + (short side)² = (long side)²
given long side is 25====================================
(15x)² + (20x)² = 25²225x² + 400x² = 625625x² = 625x² = 1x = √1x = ±1as distance is positive
x = 1make x the subject
m= n+x/p
Answers
m = n+ x/p
m (*p) = n (*p) + x/p (*p)
mp = np + x
x= mp - np
x= p ( m - n)
To isolate the variable on one side of the equal sign, divide both sides of the equation by .
Answers
To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.
help me ASAP I will give you brainliest if you get the answer correct!!
Answers
Answer:
38
Step-by-step explanation:
x=180-142
x=38
What is the overall effect of an independent variable on a dependent variable known as?
Answers
Let's determine the term used for the overall effect of an independent variable on a dependent variable.
The
The probability of a head is 0.27. The coin is thrown 200 times. Write an
estimate for the amount of tails
Answers
Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
The probability of a head is 0.27.
This means that the probability of tails is \(p = 1 - 0.27 = 0.73\)
The coin is thrown 200 times.
This means that \(n = 200\)
Write an estimate for the amount of tails
This is the expected value, so:
\(E(X) = np = 200*0.73 = 146\)
The estimate for the amount of tails is 146.
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answers
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
A
-6
Find the distance, d, of AB.
A = (-5, 5) B = (5, -5)
-4 -2
f
&
-2
-4
9
N
4
B
d = √|×₂ − ×₁1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter
Answers
Answer:
88
Step-by-step explanation:
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
Answers
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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HURRY PLEASE!! I WILL GIVE BRAINLIEST
Answers
Answer:
X=2
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
x + 2 - 2 = 10 - 2 subtract 2 from both sides/ simplify x = 8
In which of these situations do the quantities combine to make 0? 4 of 5 QUESTIONS A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive. OA bird flies 25 feet up in the air. It then flies 25 feet across to its nest. Veronica receives $21 for babysitting. She then spends $21 on a new shirt. SUBMIT
Answers
The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.
When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.
In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.
The total points earned in this situation would be 8, which is not equal to 0.
In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.
In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.
Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.
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The probable question may be:
In which of these situations do the quantities combine to make 0?
A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.
B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.
C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.
Please help........................
Answers
Answer:
a. (0,0), (2,0), (4,0)
b. (0,0)
Step-by-step explanation:
To find the x-intercept points, you set the equation equal to 0.
0=x³-6x²+8x [factor out an x]
0=x(x²-6x+8) [factor (x²-6x+8)]
0=x(x-2)(x-4) [set each factor equal to 0]
x=0
x-2=0 [add both sides by 2]
x=2
x-4=0 [add both sides by 4]
x=4
Now, we know our x-intercept points: (0,0), (2,0), (4,0).
To find the y-intercept points, we know that it is located on the y-axis, meaning x=0. We plug in 0 for x, and we will know our y-intercept point.
y=(0)³-6(0)²+8(0) [multiply]
y=0
The y-intercept point is (0,0).
which situation can be represented by this equation 340+5x=650-8x
Answers
Answer:
23.8=x
Step-by-step explanation:
340+5x=650-8x
5x+8x=650-340
13x=310
x=23.8
1. Which of the following is the 65th term in the sequence 8, 5, 2,-1,
A.-184
B. -186
C. -190
D. -195
Answers
Answer:
-184
Step-by-step explanation:
8,5,2,-1...
a=first term=8
Common difference=T2-T1=T3-T2=T4-T3
5-8=2-5=-1-2=-3
T65=a+64d
T65=8+64(-3)
T65=8-192
T65=-184
3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answers
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
NO LINKS/NO ASSESSMENTS!!!
State the Domain in inequality notation:
State the Range in inequality notation:
State the Domain in interval notation:
State the Range in interval notation:
Answers
9514 1404 393
Answer:
domain: -∞ < x < ∞, or (-∞, ∞)range: 5 ≤ y ≤ 35, or [5, 35]Step-by-step explanation:
Domain
The domain is the horizontal extent of the graph. Here, there are arrows at the ends of the curve, pointing both directions. We understand that to mean the graph extends to infinity in both directions. Then the domain is "all real numbers".
-∞ < x < ∞
(-∞, ∞)
__
Range
The range is the vertical extent of the graph. Here the graph extends from a low of 5 °F to a high of 35 °F. The arrows at the end of the graph do not indicate that the portion not shown will have any different range. Hence the range is ...
5 ≤ y ≤ 35
[5, 35]
solue each by trial and error method.. 3+x=8
Answers
Answer:
x=5
Step-by-step explanation:
Move the constant to the right-hand side and change its sign. Then subtract the numbers.
Answer:
X=8-5
X=5
Step-by-step explanation:
plz mark me as brainliest
helo me right answers only. algbera
Answers
The function with y-intercept as 1 is h(x) = 0.5(2)ˣ + 0.5.
How to find the function using the y-intercept?The y-intercept is the point where the graph intersects the y-axis. In other words, the y-intercept of a function is the value of y when x = 0.
Therefore, let's find the function with y-intercept as 1.
Hence,
h(x) = 0.5(2)ˣ + 0.5
Let's make x = 0 to check if the value of y = 1
Therefore,
h(x) = 0.5(2)ˣ + 0.5
h(0) = 0.5(2)⁰ + 0.5
h(0) = 0.5(1) + 0.5
h(x) = 0.5 + 0.5
h(x) = 1
Therefore, the function with y-intercept as 1 is h(x) = 0.5(2)ˣ + 0.5
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Please help!! As soon as you can! :(
Answers
Answer:
Step-by-step explanation:
2^3= 2 times 2 times 2=8
3^2= 3 times 3=9
(1/2)^3=1/2 times 1/2 times 1/2=1/8
Hope it helped! :)
2. A grocery store offers a coupon for $2 off when a customer buys 6 or more bottles of water.-The water costs $1.75 per bottle. Shauna uses the function t(b) = 1.75b - 2 to find the total dollars it costs to buy b bottles of water. When she uses the function to find how many bottlesshe can buy for $5, she b finds b ~ 3.4, so she concludes she could buy 3 bottles of water for $5.Explain what error Shauna made
Answers
We are told that the $2 off coupon only applies when you are buying at least 6 bottles. In that case the function that gives the cost in dollars of buying b bottles is in deed the formula found by Shauna:
\(t(b)=1.75b-2\)However, as I stated before this formula only applies if you are buying at least 6 bottles. If you buy less you must not count the discount coupon so the equation in that case is:
\(t(b)=1.75b\)Shauna found that for 5 dollars b is approximately 3 (which is smaller than 6) which means that she used the wrong equation.
AnswerThe error made by Shauna was that she considered the discount coupon on her calculations even though the results tell her that she can buy less than 6 bottles and at that range the coupon can't be used.
Find the measure of BC
Answers
Using central angle theorem,
The measure of the arc BC = 110°.
Define central angle?An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.
Here in the question,
As per the central angle theorem:
(2x -30) ° + x° = 180°
⇒ 2x - 30 + x = 180
⇒ 3x - 30 = 180
Adding 30 on both sides:
⇒ 3x = 180 + 30
⇒ 3x = 210
Dividing both sides by 3.
⇒ x = 70°
Now BC = 2x-30
= 2 × 70 -30
= 140 - 30
= 110°
Therefore, the measure of BC = 110°.
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I’m trying to understand how does someone get -2.5 from
1/2cos0-3
Answers
Here is the step-by-step solution:
1. First, we need to evaluate the cosine of 0 degrees. The cosine of 0 is 1. So, the expression becomes:
1/2 * 1 - 3
2. Next, we need to simplify the expression by multiplying 1/2 with 1. So, we get:
1/2 - 3
3. Now, we need to subtract 3 from 1/2. So, we get:
-2.5
*Therefore, the final answer is -2.5.