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s344n2d4d5 [400]
2 years ago
11

Find an equation for the perpendicular bisect or of the line segment whose end points are (-2,-4) and (8,2)

Mathematics
1 answer:
Serhud [2]2 years ago
4 0

Answer:

, you must find the midpoint of the segment, the formula for which is

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

. This gives

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of

5

is

−

1

5

.

We now know that the perpendicular travels through the point

(

−

5

,

3

)

and has a slope of

−

1

5

.

Solve for the unknown

b

in

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is

y

=

−

1

5

x

+

2

.

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Can someone please send help :(
nlexa [21]
(f o g)(x)

g(x) = x + 2

Since it’s telling you to use g(x), you use (x + 2) as your new x value for function f.

f(x + 2) = 5(x + 2) + 5
= 5x + 10 + 5
= 5x + 15

5 0
3 years ago
The wheels on a car have a diameter of 28 inches. How many full
Lorico [155]

Answer:

27

Step-by-step explanation

14 is the radius so multiply by pi to get 87.96

then turn 200 fee into in which is 2400in

and divide 2400 by 87.96

7 0
3 years ago
The area of a triangle is one half the base and times the height. If the area of the triangle is 16 square inches and the vase i
sergij07 [2.7K]

Step-by-step explanation:

so, yes, the area of a triangle is

baseline × height / 2

so, we have here

16 = 8 × height / 2 = 4 × height

height = 16/4 = 4 in.

8 0
2 years ago
A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole
Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

\sin\theta=\dfrac{h}{H}

h is perpendicular and H is hypotenuse

So,

\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}

Now using Pythagoras theoerm,

b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0
3 years ago
to make a shade of plant called Jasper Green, Mix 4 quarts of green paint with 2/3 cups of black paint. how much green paint sho
r-ruslan [8.4K]

Answer

24 quarts of green paint should be mixed with 4 cups of black paint.

That is (96 cups)

Step by step explanation

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint                      Black paint

16                                          2/3

x                                            4

16/x =2/3 divided by 4

\frac{16}{x}  = \frac{2/3}{4}

Cross multiplying, we get

16*4 = 2/3 x

64 = 2/3 x

x = 64/(2/3)

x = 64 * 3/2

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

Thank you.

4 0
3 years ago
Read 2 more answers
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