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Simora [160]
3 years ago
6

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

C

Step-by-step explanation:

We know that line CD passes through the two points (0, 2) and (4, 6).

First and foremost, let’s find the slope of the line. We can use the slope formula:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (0, 2) be (x₁, y₁) and (4, 6) be (x₂, y₂). Substitute appropriately:

\displaystyle m=\frac{6-2}{4-0}

Evaluate:

\displaystyle m=\frac{4}{4}=1

Hence, our slope is 1.

Now, we can use the slope-intercept form:

\displaystyle y=mx+b

Where m is our slope and b is our y-intercept.

Notice from our given points that we are given (0, 2).

So, our y-intercept is 2.

Therefore, we will substitute 1 for m and 2 for b. This yields:

\displaystyle y=(1)x+(2)

Simplify:

\displaystyle y=x+2

Hence, our answer is C.

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A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height h = 15m  

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