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3 years ago

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

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K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

6 0

3 years ago

An account earns annual simple interest. find the balance of the account.

I am Lyosha [343]

y=2000(1+.09^2)^1/2

y=2000(1.09^2)1/2

y=2000(1.1881)^1/2

y=2000(1.09)

y=$2180

3 0

3 years ago

two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec

netineya [11]

$184 + 248 \div 3 =$

6 0

3 years ago

What is 824.653 rounded to hundredths place

iren2701 [21]

Answer:

824.65

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

13 gallons is the same as how many liters?<br> Hint: 1 gal 3.8 L

I am Lyosha [343]

Answer:

49.4

Step-by-step explanation:

So, 1 Gallon = 3.8 Liters. We need to find how many liters are in 13 gallons.

All we need to do is multiply our 3.8 liters (1 gallon) by 13 to find out how many liters 13 gallons is.

3.8 x 13 = 49.4

Your answer is 49.4.

<u>Hope this helps and have a nice day!</u>

5 0

3 years ago