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Fantom [35]
3 years ago
10

A line has a slope of 4 and passes through the point (2, 6). What is the equation in slope-intercept form?

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

y=4x-2

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept.

y-6=4(x-2)

y-6=4x-8

y=4x-8+6

y=4x-2

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If an object is dropped from a height of 144 feet, the function h(t)=-16t^2+144 gives the height of the object after t seconds.
shtirl [24]

Answer:

A. 3s

Step-by-step explanation:

The height of the object after t seconds is given by:

h(t) = -16t^2 + 144

When will the object hit the ground?

It hits the ground after t seconds, and t is found when h(t) = 0. So

h(t) = -16t^2 + 144

0 = -16t^2 + 144

16t^2 = 144

t^2 = \frac{144}{16}

t^2 = 9

t = \sqrt{9}

t = 3

3 seconds, so the correct answer is given by option a.

5 0
2 years ago
What’s 433 rounded to nearest hundreds
MAXImum [283]

Answer:

400

Step-by-step explanation:

Looking at the number 433, we have to look at the number in the tens place (in this case, 3) to determine if we will round down to 400, or up to 500.

Because the number 3 is less than 5, we will round down to 400.

6 0
3 years ago
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Graph the inequality: –10 < t < 5
shusha [124]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Find the missing side lengths. Leave your answers as radicals in simplest form.
sattari [20]

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{14\sqrt{3} }{x} = \frac{\sqrt{3} }{2} ( cross- multiply )

x \sqrt{3} = 28\sqrt{3} ( divide both sides by \sqrt{3} )

x = 28

-----------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{14\sqrt{3} }{y} = \sqrt{3} ( multiply both sides by y )

14\sqrt{3} = y \sqrt{3} ( divide both sides by \sqrt{3} )

y = 14

3 0
3 years ago
Solve for <br> n<br> nn.<br> 7<br> n<br> −<br> 4<br> =<br> 31
makkiz [27]

Answer: 5

Step-by-step explanation:

5x7=35

35-4=31

5 0
2 years ago
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