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tamaranim1 [39]
3 years ago
12

What is the equation in slope-intercept form of the line that passes through the point(-4,7) and is perpendicular to y=4x+15

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

Step-by-step explanation:

First find the slope of the line y =4x + 15

slope = 4

Slope of the required line = -1/m = -1/4

(-4 , 7)

Slope point form: y - y1 = m(x - x1)

y - 7 = \frac{-1}{4}(x - [-4])\\\\y -7 = \frac{-1}{4}(x + 4)\\\\y - 7 =\frac{-1}{4}x + 4*\frac{-1}{4}\\\\y - 7 =\frac{-1}{4}x-1\\\\y = \frac{-1}{4}x - 1 + 7\\\\y = \frac{-1}{4}x + 6

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-5+1/5a=4<br> solution again.
erma4kov [3.2K]

Isolate the a. Note the equal sign. What you do to one side, you do to the other.

Add 5 to both sides

-5 (+5) + 1/5a = 4 (+5)

1/5a = 9

Isolate the a. Multiply 5 to both sides

(5)(1/5)a = 9(5)

a = 9 x 5

a = 45

45 is your answer for a.

hope this helps

6 0
3 years ago
Shawna sold half of her comic books and then bought ten more. She now has 35. With how many did she begin?
ella [17]
35 - 10 is 25 then 25 times 2 is 50 shawna had 50 comic book
8 0
4 years ago
Zero point three divided by zero point 9
RoseWind [281]

Answer:

0.33333

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 m
aliina [53]

Answer: 1,393 meters tall

Step-by-step explanation:

Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.

y

= a(1–r)t

y

= 1,710(1–0.05)4 Plug in values

y

= 1,710(0.95)4 Subtract

y

= 1,710(0.81450…) Simplify

y

= 1,392.80568… Multiply

Round to the nearest whole number.

1,392.80568… → 1,393

To the nearest whole number, the mountain will be 1,393 meters tall.

3 0
2 years ago
Please answer to receive ten points. I'll vote who answers first the brainliest if its correct. 
beks73 [17]

The distance between points P_1(x_1,y_1) and P_2(x_2,y_2) can be calculated using formula

P_1P_2=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

1.

AB=\sqrt{(-7-(-11))^2+(8-4)^2}=\sqrt{16+16}=\sqrt{32}=4\sqrt{2}\approx 5.657.

2.

AC=\sqrt{(-4-(-11))^2+(4-4)^2}=\sqrt{49+0}=\sqrt{49}=7.

3.

CB=\sqrt{(-7-(-4))^2+(8-4)^2}=\sqrt{9+16}=\sqrt{25}=5.

Then

P_{ABC}=5.657+7+5=17.657\approx 17.7

Answer: correct choice is C.

3 0
3 years ago
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