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3 years ago

What is the midpoint of PQ with endpoints P (–3, 4) and Q (5, –8)

Mathematics

1 answer:

attashe74 [19]3 years ago

5 0

Answer:

The coordinates of the midpoint are: (1, -2)

Step-by-step explanation:

We use the formula for midpoint coordinates knowing the end points (x1, y1) (x2, y2):

xm = x1 + (x2-x1)/2

in our case:

xm = -3 + (5 - - 3)/2 = - 3 + (8/2) = -3 + 4 = 1

ym = y1 + (y2-y1)/2

in our case:

ym = 4 + (- 8 - 4)/2 = 4 + (-12/2) = 4 - 6 = -2

The coordinates of the midpoint are: (1, -2)

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A rectangular classroom has an area of 300 square feet. The length of the classroom is 5 feet longer than the width, w. Create a

weqwewe [10]

Answer:

w^2 + 5w = 300

Step-by-step explanation:

A= length x width

A =300

Width = w

length = w + 5

Therefore

300 = (w) x (w + 5)

300 = w^2 + 5w

w^2 + 5w = 300

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3 years ago

What is 12.05 as a fraction

hram777 [196]

Answer:

241/20

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3 years ago

Suppose that the scores on a reading ability test are normally distributed with a mean of and a standard deviation of . What pro

Gnoma [55]

Answer:

The proportion of individuals score at most 74 points on this test is 70%.

Step-by-step explanation:

The complete question is:

Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.

Solution:

Let <em>X</em> represent the scores on a reading ability test.

It is provided that $X\sim N(70,8^{2})$ .

Compute the probability that an individuals score is at most 74 points on this test as follows:

$P(X\leq 74)=P(\frac{X-\mu}{\sigma}\leq \frac{74-70}{8})$

$=P(Z$

Thus, the proportion of individuals score at most 74 points on this test is 70%.

4 0

4 years ago

Solve the system by substitution. -3x+3=y -x+3y=29

Bond [772]

Answer:

x=-2 , y=9

Step-by-step explanation:

$\left \{ {{-3x+3=y} \atop {-x+3y=29}} \right.\\-x+3(-3x+3)=29\\-x-9x+9=29\\-10x=29-9\\-10x=20\\x=\frac{20}{-10} =>x=-2\\\\-3x+3=y\\-3(-2)+3=y\\6+3=y=>y=9$

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3 years ago

Help please (And dont say that its 60,60, and 120. Thats wrong I already tried it)

Ainat [17]

The value of angle M<1 is 59.

The value of angle M<2 is 61.

The value of angle M<3 is 119.

<h3>What are the values of the angles?</h3>

The value of M3 can be determined by subtracting 61 from 180. This is because angles along a straight line is equal to 180.

180 - 61 = 119.

The value of M2 is equal to 61. This is because alternate angles are equal.

The value of M3 can be determined by subtracting 61, 60 from 180. This is because sum of angles in a triangle is equal to 180.

180 - 60 - 61 = 59

To learn more about triangles, please check: brainly.com/question/20694080

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7 0

2 years ago