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ki77a [65]
3 years ago
11

Find the slope that passes through (-7, 1), and (-4, -3)

Mathematics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

The answer is

<h2>-  \frac{4}{3}</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

<h3>m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7, 1), and (-4, -3)

The slope is

<h3>m =  \frac{ - 3 - 1}{ - 4 + 7}  =  \frac{ - 4}{ 3}  \\ =   -  \frac{4}{3}</h3>

We have the final answer as

<h3>-  \frac{4}{3}</h3>

Hope this helps you

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Rufina [12.5K]

Answer:

If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.

Step-by-step explanation: Hope this helps u!

6 0
3 years ago
Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t
Evgesh-ka [11]
Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

Tan (x) = \frac{opposite}{adjacent}
Tan(x)= \frac{4}{2}
Tan(x)=2
Tan^{-1}(2)=63.43494882
Angle x=63.43

Tan(y)= \frac{opposite}{adjacent}
Tan(y)= \frac{2}{4}
Tan^{-1}(0.5)=26.56505118
Angle y=26.6

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)

3 0
3 years ago
Read 2 more answers
Suppose you are given a square with an inscribed circle. If the area of the square is 36 m^2. What is the area of the circle?
loris [4]
If the square has sides of 6 the circle has a radius of 3 so it's area is 9pi
4 0
3 years ago
Read 2 more answers
L<br> E<br> N<br> 4<br> 8<br> 1<br> O<br> k<br> M<br> What is the value of k?<br> k=
s2008m [1.1K]

Answer: 2

Step-by-step explanation:

By the geometric mean theorem,

\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}

6 0
2 years ago
Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A
Ghella [55]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

6 0
3 years ago
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