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3 years ago

Find the point slope equation of the line using the point (6,9) and slope of 3/2

Mathematics

1 answer:

Natali [406]3 years ago

8 0

Answer:

y=1.5x

Step-by-step explanation:

Use the equation y-y1=m(x-x1)

y-9=1.5(x-6)

y-9=1.5x-9

y=1.5x

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A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?

aev [14]

Answer:30 drinks

Step-by-step explanation:

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2 years ago

When rotating a figure, which is equivalent to a 1/4 -turn counterclockwise rotation?

levacccp [35]

360 clockwise / 4 = 90 clockwise

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2 years ago

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Nate and his friends are building a skateboard ramp for an upcoming contest. The length of the ramp on the blueprint is 7.6 inch

ICE Princess25 [194]

Answer:

30.4 feet.

Step-by-step explanation:

We have been given the length of the ramp on the blueprint is 7.6 inches. The scale on the blueprint is 1 inch to 4 feet. We are asked to find the actual length of the ramp.

We will use proportions to solve our given problem as:

$\frac{\text{Actual length}}{\text{Scale length}}=\frac{4\text{ ft}}{1\text{ inch}}$

Now, we will substitute the scale length of ramp in our proportion as:

$\frac{\text{Actual length}}{7.6 \text{ Inches}}=\frac{4\text{ ft}}{1\text{ inch}}$

$\frac{\text{Actual length}}{7.6 \text{ Inches}}\cdot 7.6 \text{ Inches}=\frac{4\text{ ft}}{1\text{ inch}}\cdot 7.6 \text{ Inches}$

$\text{Actual length}=4\text{ ft}\cdot 7.6$

$\text{Actual length}=30.4\text{ ft}$

Therefore, the actual length of the ramp would be 30.4 feet.

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2 years ago

5x^2-2x=2<br>help plsmmm

Yuki888 [10]

Answer:

Presumably you're solving for x here? Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

$5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\$

let's solve it. First we'll multiply both sides by five, making the first term a perfect square:

$25x^2 - 10x - 10 = 0\\$

Now we'll add 11 to both sides:

$25x^2 - 10x + 1 = 11\\$

Which makes the left side a perfect square:

$(5x - 1)^2 = 11$

And now we can solve for x:

$(5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}$

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

$x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86$ $x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46$

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2 years ago

What is 5 time 2 plus 3 to the power of 2

ch4aika [34]

i believe it is 19 if im wrong sorry

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2 years ago

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