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3 years ago

Find the equation of the line that is perpendicular to y = 2x + 8

Mathematics

1 answer:

Natasha2012 [34]3 years ago

6 0

Answer:

$\boxed {\boxed {\sf B. \ y= - \frac{1}{2} x-4}}$

Step-by-step explanation:

We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.

The slope of the line is 2.

We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.

1. Negate

Negate the slope, or switch the sign
(+) 2 --> -2

2. Reciprocal

Flip the numerator and denominator of the slope.

-2/1 --> -1/2

The perpendicular slope is -1/2, so the correct equation must be B.

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Lyn made 16 per hour for 40 hours plus $24 per hour for 3 hours

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3 years ago

Two parallel lines are crossed by a transversal . What is the value of k?

bulgar [2K]

Answer:

The value of is equal to $k=60\°$

Step-by-step explanation:

we know that

$(2k+11)\°=131\°$ -----> by alternate exterior angles

solve for k

$2k=131\°-11\°$

$k=120\°/2=60\°$

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3 years ago

Read 2 more answers

Degree 3 polynomial with zeros 4, 6, and -2.

hjlf

Answer:

Step-by-step explanation:

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an Degree 3 polynomial with zeros 4, 6, and -2 is :

f(x) = (x-4)(x-6)(x+2)

all polynomial are : a (x-4)(x-6)(x+2) a ≠ 0

4 0

3 years ago

Guys please help me

stich3 [128]

Answer: (x + [-1], y + [1])

Step-by-step explanation:

<em>See attached. </em>We can draw, or picture it in our heads, what the reflection would look like. Then we can pick one (or multiple to test) points and see the translation.

We can also test with a set of points. B', (2, 4) becomes G in the transformation. G is at (1, 5)

(1 - 2, 5 - 4) -> (-1, 1)

8 0

1 year ago

Read 2 more answers

A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of hi

Nina [5.8K]

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C = number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

P = 40 - 10 = 30

P = 30

He has 30 penguins.

3 0

3 years ago