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3 years ago

6

What is the equation of a line that crosses the y axis at (0,-3) and has a slope of 4?

1 answer:

MAXImum [283]3 years ago

8 0

Hi dear,

use this formula:

y - y1= m(x-x1)

Y1 = -3
X1 = 0
m = 4

y-(-3)=4(x-0)

y+3=4x

y=4x-3

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3 years ago

The height h is greater than 2.5 meters.<br> Write an inequality for the word sentence

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3 years ago

What is the value of x in the figure below? In this diagram, △ABD~△CAD.

morpeh [17]

<u>Given</u>:

Given that the triangles ABD and CAD are similar.

The length of AB is 12.

The length of BD is x.

The length of AC is 27.

We need to determine the value of x.

<u>Value of x:</u>

Let us use the leg rule to determine the value of x.

Thus, we have;

$\frac{BC}{AB}=\frac{AB}{BD}$

Substituting the values, we get;

$\frac{27}{12}=\frac{12}{x}$

Cross multiplying, we get;

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Dividing both sides by 27, we have;

$x=\frac{16}{3}$

Thus, the value of x is $\frac{16}{3}$

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3 years ago

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Scilla [17]

Answer:

$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

Using these equations, we get the following information:

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Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

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3 years ago