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3 years ago

Find the equation of the line that is parallel to y=-x+5 that passes through (3,0)

1 answer:

6 0

Since the lines are parallel, the slope in the new equation will be the same as the given equation, -1. To find the new equation, take the slope and the point given and plug them into the point-slope formula y-y1=m(x-x1) and simplify:

y-0=-1(x-3)
y=-1x+3 --- your answer

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Jennifer is saving money to buy a bike. The bike costs $223. She has $124 saved, and each week she adds $11 to her savings.

Elan Coil [88]

233-124 is 109.

109/11 is nearly 10.

answer is 10 weeks

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3 years ago

Please help solve this, I’ve tried my best. My answers are a height of 6.7 using 30-60-90 as a last resort, and the glass volume

Neko [114]

Answer:

A) To ensure the correct and exact straight height

B) 15 inches

C) 24.87 in $^{3}$

Step-by-step explanation:

Hello! Lets start!

First, it asks us to explain why the two bases must be parallel. In order to measure the correct and exact height, we must be sure that the bases are parallel, or else there would be a range of heights; in order to ensure that you are measuring a straight distance, they must be parallel!

Second, it asks us to identify the height of cone. To do this, we must make a slope! We can see that, for every time we go down 5 inches, we lose 1 inch of our base! Our slope in this situation would be -5. So, lets continue to see how long before the cone reaches its tip, in which the base would be equal to 0. At 5 inches, our base is 2 inches. At 10 inches, our base is 1 inch. At 15 inches, we do not have a base, as it equals 0! So therefore, our cone height is 15 inches.

Third, it asks us to identify the volume of the cup, which is also called a <em>circular truncated cone. </em>To do so, we can use the formula:

₁ $V = \frac{1}{3} \pi (r_{1}^2 + r_{1}r_{2} + r_2^2)h$

Lets plug in our information!

$V = \frac{1}{3} \pi (1.5^{2} + (1.5)(1) + 1^{2}) (5)\\V = 24.87$

Hope this helps! Remember, math is fun!

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3 years ago

Writing Exercises

mash [69]

Answer:

Hence we prefer the distributive method when multiplying trinomial by a binomial.

Step-by-step explanation:

Explanation

We have to explain when multiplying a trinomial by a binomial which method we prefer from the Distributive Property or the Vertical Method.

We prefer the Distributive method because the method is the quickest than the vertical method methods as the vertical method has more steps than the distributive property also the vertical method is a bit complicated than the distributive method.

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2 years ago

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Veronika [31]

If the power consumption is linear, then the toaster consumed 1050*(5/60)=87.5 watts.

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3 years ago

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Pani-rosa [81]

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