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3 years ago

The slope of the line below is 3. Use the coordinates of the labeled point to

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

$y = 8+3x$

Step-by-step explanation:

Remember that the equation of the line is

$y-y_0 = m*(x-x_0)$

in this case we have

$y-8 = 3(x-0)$

that is because

$y_0 = 8, x_0 = 8 , m = 3$

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3 years ago

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al

azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

$y-y_1=m(x-x_1)$

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

$m=120$

After $x_1=1.5$ minutes, the balloon is at an altitude of $y_1=2,150$ feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

$y-2,150=120(x-1.5)$

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

$2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)$

Now, find the height after 4 minutes:

$y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450$

Thus, the balloon will reach only 2,450 feet after 4 minutes.

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3 years ago

Find the prime factorization of 36

ivolga24 [154]

Prime factorization means finding the prime numbers that you can multiply to make a certain number.

So, he prime factorization of 36 would be 2 x 2 x 3 x 3 or 2, 2, 3, and 3.

Just to make sure: 2 x 2 = 4 4 x 3 = 12 12 x 3 = 36

There's your answer!

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Answer:

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Step-by-step explanation:

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