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3 years ago

Write an equation for the line perpendicular to y = –3x + 6 that contains (7, –4).

Mathematics

1 answer:

padilas [110]3 years ago

8 0

Hey!

So we are given that the two lines (the one you are trying to find and the other one whose equation you have been given) are perpendicular. This means that their slopes are the negative reciprocal of each other. Since the slope of the line you have been given is -3 the slope of the line that you need to find is 1/3. Using this and the point we have been given we can find the y-intercept.

-4 = (1/3)(7) + b

-4 = 7/3 + b

-19/3 = b

Since we know both the slope and the y-intercept we can write out equation:

y = (1/3)x - 19/3

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Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized

Roman55 [17]

Answer:

Option B.

Step-by-step explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

In the given triangle,

$\tan (45^{\circ})=\dfrac{v}{7}$

$1=\dfrac{v}{7}$

$7=v$

Using Pythagoras theorem, we get

$hypotenuse^2=Perpendicular^2+Base^2$

$u^2=v^2+7^2$

$u^2=7^2+7^2$

$u^2=2(7^2)$

Taking square root on both sides, we get

$u=\sqrt{2(7^2)}$

$u=7\sqrt{2}$

Therefore, the correct option is B.

6 0

3 years ago

Please answer correctly !!!!!!! Will mark 30 points !!!!!!!!!!!!!!!!

Sav [38]

Answer:

x <- x - 5

Step-by-step explanation:

6 0

3 years ago

A cooking show currently has about 223,00 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% p

Mazyrski [523]

The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
Pf = Po×(1-b) ^ t
Where:
Pf = final population
Po = initial population
b = decrease rate
t = timpo in years
So:
Pf = 223.00×(1-0.047) ^ 6
Pf = 167,056
The answer is the last option.

5 0

3 years ago

What is the answer to 2(12-18x)=x-11x

Ivan

Answer:

x=0

Step-by-step explanation:

move all terms to the left. Then add all the numbers together. Then multiply parenthesis to get rid of them finally add all numbers together

4 0

4 years ago

Identify the graphed linear equation.

prisoha [69]

Answer:

Step-by-step explanation:

I think its A because if you see the line which is the slope, the slope is going up, so its positive. to find the x, you use ride over run. also, you see the y intercept is up and its positive. sorry if I get it wrong.

I hope it helped!!!:)

4 0

3 years ago