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kati45 [8]
3 years ago
8

Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because  the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

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12. Karen baked chocolate chip cookies and sugar cookies. She baked 30 chocolate chip cookies and times as many sugar
sergeinik [125]

Answer:

150

Step-by-step explanation:

30=chocolate chip

120=sugar

30+120 = 150!

the answer is 150 not sure why its not one of the options

8 0
3 years ago
On a standard circular 12-hour clock, the numerals 12 and 6 are opposite each other. On the planet Bajor, they use a circular te
anastassius [24]
Opposite Numbers and their Sums:

1+6=7
2+7=9
3+8=11
4+9=13
5+10=15

Because of this, the pair of opposite numbers are 3 and 8 if you want the pair that equal 11.
7 0
3 years ago
when full the gas tank of a car holds 15 gallons. it now contains 12 gallons. what percent represents how full the tank is?
Masteriza [31]

Hello!

to find the percent of a whole, use this equation here:

(remaining) / (total) = X

X * 100 = %

in this case:

12 / 15 = 0.8

0.8 * 100 = 80

your answer is 80%

I hope this helps, and have a nice day!

5 0
3 years ago
Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s
noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

<span><span>6!</span><span>6!</span></span>

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

7 0
3 years ago
Simplify: -10(-10+7x)-6(-9x)​
Amanda [17]

Answer:

100-16x

Step-by-step explanation:

-10(-10+7x)-6(-9x)

apply rule -(-a)=a:

-10(-10+7x) +6x9x

Multiply 6 x 9:

-10(-10 + 7x)+54x

Distribute:

100-70x+54

combine like terms:

100-16x

8 0
3 years ago
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