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3 years ago

Which of the following equations describes the line shown below , check all that apply

Mathematics

1 answer:

Bond [772]3 years ago

5 0

The line is passing through the y-axis at 3. The slope of the line is 3.
So your equation would be y = 3x + 3.

Now solve A through F to see which equation(s) matches the line.

A. y + 6 = 3(x + 3)
y + 6 = 3x + 9
y = 3x + 3

B. y + 6 = 3(x + 1)
y + 6 = 3x + 3
y = 3x - 3

C. y - 6 = 3(x - 3)
y - 6 = 3x - 9
y = 3x - 3

D. y - 6 = 3(x - 1)
y - 6 = 3x - 3
y = 3x + 3

E. y = 3x + 2

F. y = 3x + 3

Which letters equaled y = 3x +3?
A, D, and F.

The equations that describe the line are A, D, and F.

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4 years ago

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Given sec theta=-4/3 and 90°

hoa [83]

Answer:

Option A.

Step-by-step explanation:

It is given secθ = - $\frac{4}{3}$

then cosθ = - $\frac{3}{4}$

Now we know the identity

sinθ = $\sqrt{1-cos^{2}\theta }$

= $\sqrt{1-(-\frac{3}{4} )^{2}}$

= $\frac{\sqrt{7} }{4}$

Now sin2θ = 2sinθcosθ

Now we put the values of cosine and sine in the formula

sin2θ = 2×(- $\frac{3}{4}$ )( $\frac{\sqrt{7}}{4}$ )

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Therefore, option A. is the answer.

3 0

3 years ago

Find the consecutive integers even integers whose sum is 264

coldgirl [10]

Name the first even integer you are looking for $x$ . The next even number is $x+2$ .

Their sum is $264$ , so $x+x+2=264$ . That means $2x=262$ , hence $x=131$ .

So, the desired numbers are $131$ and $133$ .

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4 years ago

What is 25/125 as a decimal?

Fed [463]

The answer is 0.2 when it is fully simplified

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4 years ago

Find the area of the shaded regions. Give your answer as a completely simplified

Pavel [41]

The area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle in which the shaded region is shown.

The radius of the small circle r = 3 cm

The radius of the large circle R = 3+4 = 7 cm

The area of the shaded region:

= area of the large circle sector - an area of the small circle sector

= (120/360)[π7²] - (120/360)[π3²]

= 49π/3 - 3π

= 40π/3 square cm or

= 13.34π square cm

Thus, the area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

5 0

2 years ago