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nadezda [96]
3 years ago
14

A line is perpendicular to y = 3x - 8

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Since the line is perpendicular, we know that the slope is reciprocal and negative to the other one.

So,

y = -4x + b

We want to find the y-intersect (b) so substitute the intersected points and solve for it.

2 = -4(2) + b

2 = -8 + b

2 + 8 = b

10 = b

So the complete equation would be:

y = -4x + 10

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Complete the equivalent equation for –7x – 60 = x2 + 10x.
cupoosta [38]

Answer:

x = -5

x = -12

Step-by-step explanation:

- 7x - 60 = x^2 + 10x

add 7x to both sides

x^2 + 17x = -60

add 60 to both sides

x^2 + 17x + 60 = 0

factorise quadratic

(x + 12) (x + 5) = 0

<em>x = -12</em>

<em>x = -12x = -5</em>

6 0
3 years ago
Answers:
natita [175]

Answer:

y=-3/4x-3

Step-by-step explanation:

3 0
2 years ago
A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5.
Evgesh-ka [11]

Answer:

30 times

Step-by-step explanation:

1. find the possibility of the spinner landing on each section

<em>1 / 5 = 0.2</em>

<em />

2. multiply # of spins by the possibility

<em>150 * 0.2 = </em><em><u>30 times</u></em>

4 0
3 years ago
Derwin used 6 gallons of paint to paint two rooms. He used 4 gallons to paint one of the rooms. The equation g + 4 = 6 can be us
tigry1 [53]

Answer:

He used 2 gallons to paint the other room.

Step-by-step explanation:

g=2

Because 2+4=6

If you subtract 4 from 6 it equals 2.

Hopefully it helps.

6 0
3 years ago
Simplify using the horizontal method. (2n^2+4n+4)(4n-5)
xz_007 [3.2K]
Your answer would be 8n³ + 6n² - 4n - 20.

The horizontal method for simplifying binomials is to simply multiply the terms in the first bracket by the terms in the second bracket. Written out, this looks like:

(2n² × 4n) + (4n × 4n) + (4 × 4n) + (2n² × -5) + (4n × -5) + (4 × -5).

Then, we just need to do the operations in the brackets, which gives us:

8n³ + 16n² + 16n - 10n² - 20n - 20

And finally we collect the like terms to simplify, which means doing 16n² - 10n² = 6n², and 16n - 20n = -4n, so the final answer is 8n³ + 6n² - 4n - 20.

I hope this helps!
5 0
3 years ago
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