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Zinaida [17]
3 years ago
15

The equation for line j can be written as y=2x + 8. Another like k is perpendicular to line j and passes through the point (6,-6

). Choose the equation for like k
A. Y= 1/2x-3
B. Y= -1/2x-3
C. Y=-2x-3
D. Y=-3/2x + 3
Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 8 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}, thus

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute (6, - 6) into the partial equation

- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3

y = - \frac{1}{2} x - 3 ← equation of line k

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3 years ago
Monica has a 24-inch square frame. There are 4 equal sides. She paints 3/4 of one side of the frame blue. What fraction of the f
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Answer:

3/16

Step-by-step explanation:

Monica has a 24-inch square frame.

There are 4 equal sides.

Hence, length of each side=24/4 inch

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She paints 3/4 of one side of the frame blue.

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GarryVolchara [31]

Answer:

A = {1, 3, 5, 6, 7, 8, 9}

B = {2, 3, 6, 9, 10}

Step-by-step explanation:

Here as given in the question:

A – B = {1, 5, 7, 8}   ⇒ {1, 5, 7, 8} is in A not in B.

B – A = {2, 10} ⇒  {2, 10} is in B  not in A

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Step 1:

Set A can also be expressed as :  A = (A - B) ∪ (A ∩ B)

Set A can also be expressed as :  B = (B - A) ∪ (A ∩ B)

Step 2:

Substituting the values of (A - B) and (B - A)

A = {1, 5, 7, 8} ∪ {3, 6, 9}

B = {2, 10} ∪ {3, 6, 9}.

Step 3:

Finding the UNION of the above two sets, we get:

A = {1, 3, 5, 6, 7, 8, 9}

B = {2, 3, 6, 9, 10}

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