ASNWER THIS AND ILL HUG YOU

Write the equation of a line that is perpendicular to the given line and that passes through the given point. -x+5y=14; (-5,-2)

Vlad1618 [11]

$Let\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\\\\\text{We have}\ k:-x+5y=14\qquad|+x\\\\5y=x+14\qquad|:5\\\\y=\dfrac{1}{5}x+\dfrac{14}{5}\to m_1=\dfrac{1}{5}\\\\l:y=mx+b\to\dfrac{1}{5}m=-1\qquad|\cdot5\\\\m=-5\\\\l:y=-5x+b\\\\\text{Put the coordinates of the point (-5, -2) to the equation of the line}\ l:\\\\-2=-5(-5)+b\\-2=25+b\qquad|-25\\b=-27\\\\Answer:\ y=-5x-27\to5x+y=-27$

3 0

2 years ago

Evaluate the function when x = -1,0, and 4.

Semenov [28]

G(-1) = 3/2
G(0) = 3
G(4) = 1

8 0

2 years ago

Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

<u>Addition Law for Probability</u>

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

4 0

1 year ago

Read 2 more answers

How to simplify 5 cubed

alex41 [277]

Answer:

125

Step-by-step explanation:

Steps to Solving the Problem

So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.

To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.

Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.

We can write out five cubed as:

5^3

Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.

5 x 5 x 5

This shows us 5 friends multiplied by $5 multiplied by 5 days.

From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.

5 x 5 = 25

25 x 5 = 125

6 0

3 years ago

What is the degree of angle YQR

katovenus [111]

Answer: Angle is 3

Step-by-step explanation:

16x - 27 = 5x + 6

-5x -5x

______________

11x - 27 = 6

+ 27 +27

___________

11x = 33

__ __

11 11

x = 3

4 0

3 years ago