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Ostrovityanka [42]
3 years ago
10

What is the slope of the line containing the midpoint of the segment with endpoints at (2, 4) and (0, -2) and the midpoint of th

e segment with endpoints at (5, 1) and (1, 5)?Express your answer in simplest form. Plzzzz help!!!!
Mathematics
1 answer:
defon3 years ago
3 0

Answer:

slope = 1

Step-by-step explanation:

midpoint of (2, 4) and (0, -2)

(2 + 0)/2 = 1 and (4 + -2)/2 = 1

(1, 1)

midpoint of (5, 1) and (1, 5)

(5 + 1)/2 = 3 and (1 + 5)/2 = 3

(3, 3)

slope = (3-1)/(3-1) = 2/2 = 1

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gizmo_the_mogwai [7]

Answer:

£265.10

Step-by-step explanation:

200+33.60+31.50=£265.10

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3 0
3 years ago
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Can someone please help me with the question, a/4 = 15/12 a=?
malfutka [58]

Answer:

a = 5

Step-by-step explanation:

a/4 = 15/12

We can use cross products to solve

a* 12 = 4*15

12a = 60

Divide each side by 12

12a/12 = 60/12

a =5

7 0
3 years ago
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Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (
Masteriza [31]

Answer:

y = -8x + 3

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope \frac{1}{8}

So, for the line we want to find the equation, we have that:

\frac{m}{8} = -1

m = -8

So

y = -8x + b

Find the equation of the line through point (1,−5)

This means that when x = 1, y = -5. We use this to find b. So:

y = -8x + b

-5 = -8 + b

b = 3

The equation of the line is:

y = -8x + 3

7 0
3 years ago
Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t
Tanya [424]

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1

We substitute the values to get:

G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)

5 0
4 years ago
In a right triangle whose area is 12, each leg is as long as the side of a certain square. What is the area of the square?
kakasveta [241]
The area of a Square is 144 because 12x12 is 144 and if both sides are 12 then that equals 144. 

Hope this helps!
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3 years ago
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