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3 years ago

Write the equation of a line perpendicular to 4x + 3y =-8. With an x intercept of (12,-15)?

1 answer:

7 0

You would have to find the slope of the equation first.
4x+3y=-8
-4x -4x
3y=-4x-8
_ ____
3 3
y=-4/3x-8

For a line to be perpendicular to another line, the slope,m, of the new equation would need to be the negative reciprocal of the original. To put it short, take the fraction, flip it, and multiply it by -1.

original m=-4/3
perpendicular m= 3/4

You would use the slope-intercept form to solve for the new equation.

y1=y value
x1= x value

y-y1=m(x-x1)
y-(-15)=3/4(x-12)

distribute:
y+15=3/4x-9

then solve for y:
y+15=3/4x-9
-15 -15
y=3/4x-24

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A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach co

Vsevolod [243]

Answer:

D. 5 inches

Step-by-step explanation:

Given:

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.

That means complete angle having 360° is divided into 3 section.

The central angle formed by the peach cobbler is 105 degrees.

The central angle formed by the pasta is 203 degrees.

<u>Question asked:</u>

What is the approximate length of the arc of the section containing the peas?

<u>Solution:</u>

The central angle formed by the peas = 360° - 105° - 203°

= 52°

$Ridius,r=\frac{Dameter}{2} =\frac{12}{2} =6\ inches$

As we know:

$Length\ of\ arc=2\pi r\times\frac{\Theta }{360}$

$=2\times\frac{22}{7} \times6\times\frac{52}{360} \\ \\ =\frac{13728}{2520} \\ \\ =5.44\ inches$

Therefore, the approximate length of the arc of the section containing the peas are 5 inches.

6 0

3 years ago

Plssssss helppppppppp

madam [21]

Answer:

$1,385.44 {ft}^{2}$

<h3>4th answer is correct</h3>

Step-by-step explanation:

$\pi {r}^{2} \\ \pi \times 21 \times 21 \\ = 1,385.44 {ft}^{2}$

7 0

2 years ago

James gave Robert half a candy bar. Robert gave his sister half of what he had. What fraction of the whole candy bar did Robert

Evgesh-ka [11]

Answer:

1/4

25%

Step-by-step explanation:

Robert has 1/2 of the candy bar

If he gave his sister half, she has 1/2 x 1/2 = 1/4 of the candy bar

To convert 1/4 to percentage, multiply by 100

1/4 x 100 = 25%

7 0

3 years ago

Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?

bagirrra123 [75]

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

5 0

2 years ago

5(3 – x) < -2x + 6,<br> Please help

svetlana [45]

Answer:

9<7x

Step-by-step explanation:

5(3-x) < -2x+6

15-5x<-2x+6

9<7x

then you can simplify it if you want

3 0

2 years ago