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3 years ago

Write an equation for a line to pass through the point (2,3) and has a slope of -4

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

6 0

Answer:

y = -4x + 11

Step-by-step explanation:

Equation of a line is

y - y_1 = m ( x - x _1)

We are provided

Slope = m = -4

Points = (x _1 , y_1) = (2, 3)

Insert the values

y - y_1 = m( x - x_1)

y - 3 = -4(x - 2)

Open the bracket with -4

y - 3 = -4x + 8

y - 3 -8 = -4x

y - 11 = -4x

Following this equation of a line

y = mx + C

y - intercept point y

m - slope

x - intercept point x

C - intercept of the line

y - 11 = -4x

y = -4x + 11

Therefore, the equation of the line is

y = -4x + 11

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A circle has a radius of 7 cm. Workout the area of the circle. Give your answer correct to three significant figures.

anastassius [24]

Answer:

πr²=22/7×49

=22×7

=154

hope it helps

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3 years ago

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nordsb [41]

Answer:

1) ratio

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3 years ago

Read 2 more answers

What is the length of the diagonal, d, of the rectangular prism shown below?

vodomira [7]

Answer:

<h2>The diagonal of the volumetric figure is 7 units long.</h2>

Step-by-step explanation:

The figure is attached.

Notice that the dimensions of the prism are

$w=2\\l=3\\h=6$

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.

Let's use the Pythagorean's Theorem

$d_{base}=\sqrt{2^{2} +3^{2} }=\sqrt{4+9}=\sqrt{13}$

This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.

Let's use again Pythagorean's Theorem

$d_{volume}=\sqrt{(\sqrt{13} )^{2} +(6)^{2} } =\sqrt{13+36}=\sqrt{49}\\ d_{volume}=7 \ units$

Therefore, the diagonal of the volumetric figure is 7 units long.

8 0

3 years ago

Find the volume of the composite solid. 12 m I 8 m 4 m 4 m

umka2103 [35]

Answer:

1536

Step-by-step explanation:

12 x 8 x 4 x 4

(might be wrong)

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3 years ago

Ainsley works for the owners of a bookstore. Her starting salary was 24,500, and she gets a 3% raise each year. Write an equatio

vivado [14]

Answer:

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Step-by-step explanation:

For her 4th year x would be 4, so for the equation above x=4:

24500+4*((3/100)*24500)=27440

5 0

2 years ago