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soldier1979 [14.2K]
3 years ago
10

what is an equation of the line that is parallel to the line with y=-.60x+2 and passes through the point (10,-10)

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

y = -0.60x - 4

because the slope stays the same because it is parallel and the y intercept for the new equation ends up being -4

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If multiplying by 1/4 makes a positive number smaller then what does dividing by 1/4 do to the value of the number? Explain your
Free_Kalibri [48]

Hello,

If multiplying by 1/4 makes a positive number smaller then dividing  by 1/4 makes the number its being dividing to see how many times 1/4 can be put into that number. For Example,

2 / 1/4 = 8

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Hope This Helps!

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3 hamburgers cost $7.50 altogether. what is the price of 1 hamburger?
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Answer:

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Step-by-step explanation:

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Find the length of the curve given by ~r(t) = 1 2 cos(t 2 )~i + 1 2 sin(t 2 ) ~j + 2 5 t 5/2 ~k between t = 0 and t = 1. Simplif
xxMikexx [17]

Answer:

The length of the curve is

L ≈ 0.59501

Step-by-step explanation:

The length of a curve on an interval a ≤ t ≤ b is given as

L = Integral from a to b of √[(x')² + (y' )² + (z')²]

Where x' = dx/dt

y' = dy/dt

z' = dz/dt

Given the function r(t) = (1/2)cos(t²)i + (1/2)sin(t²)j + (2/5)t^(5/2)

We can write

x = (1/2)cos(t²)

y = (1/2)sin(t²)

z = (2/5)t^(5/2)

x' = -tsin(t²)

y' = tcos(t²)

z' = t^(3/2)

(x')² + (y')² + (z')² = [-tsin(t²)]² + [tcos(t²)]² + [t^(3/2)]²

= t²(-sin²(t²) + cos²(t²) + 1 )

................................................

But cos²(t²) + sin²(t²) = 1

=> cos²(t²) = 1 - sin²(t²)

................................................

So, we have

(x')² + (y')² + (z')² = t²[2cos²(t²)]

√[(x')² + (y')² + (z')²] = √[2t²cos²(t²)]

= (√2)tcos(t²)

Now,

L = integral of (√2)tcos(t²) from 0 to 1

= (1/√2)sin(t²) from 0 to 1

= (1/√2)[sin(1) - sin(0)]

= (1/√2)sin(1)

≈ 0.59501

8 0
3 years ago
What is a number greater than 1,000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that r
jok3333 [9.3K]
The easiest way to do this is to pick your prime numbers and multiply them to get the composite number.

13* 5*5*5 *2*2= 6500

Final answer: 6500
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