How do you write an equation of a line that is parallel line to y=8x-8 through the point (5,2)

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Answer 1

Answer: Parallel means that the two equations have the same slope,

so we have y = 8x + b so far.

Then we can just apply the slope to the given point by taking the y value and decreasing it by 40, due to the x value being 5

So in short, the equation that runs parallel to y = 8x-8 and intersect the point (5,2) is y = 8x -38

√13 or 3.6

Step-by-step explanation:

It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem

√(3² + 2²) =

√(9 + 4) =

√13

Please answer correctly and quickly all question please please please

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5. Part A- X is less than 54
Part B- x is greater than or equal to 13
9. 0 is the answer
10. J=5 and draw a line going right from the number 2 with a filled in circle

The function f(t) = −5t 2 + 20t + 60 models the approximate height of an objectt seconds after it is launched. How many seconds does it take the object to hit the
ground?

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Answer:

6 seconds.

Step-by-step explanation:

We have been given a function formula $f(t)=-5t^2+20t+60$ that models the approximate height of an object t seconds after it is launched.

To find the number of seconds it will take the object to hit the ground, we need to find the zeros of our given function.

$-5t^2+20t+60=0$

Upon dividing our equation by -5 we will get,

$t^2-4t-12=0$

We will factor our given equation by splitting the middle term as:

$t^2-6t+2t-12=0$

$t(t-6)+2(t-6)=0$

$(t-6)(t+2)=0$

$(t-6)=0\text{ or }(t+2)=0$

$t=6\text{ or }t=-2$

Since time cannot be negative, therefore, it will take the object 6 seconds to hit the ground.

f(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6

6 seconds

Look at this sequence.95, 80, 65, 50,... Which function represents this sequence? A. a(n) = 110n - 15 B. a(n) = 15n + 80 C. a(n) = 95n - 15 D. a(n) = -15n + 95

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Answer:

Hi,
answer A

Step-by-step explanation:

The sequence is an AP with first term equal 95 and common difference equal -15

$a_n=a_1+(-15)*(n-1)= 95+(-15)*(n-1)=95-15n+15\n\n\boxed{a_n=110-15n}\n$

Find the GCF of each set of trinomials
60x^2y^2 , 35xz^3

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I look at the similarities in factors then write them down. So 60 and 35, they have 5 (highest factor possible) in common. Now look at the variables. The only thing they have in common are the x's, and the second one doesn't have ^2, so its just x. That's how I got the final answer as 5x

$GCF(60x^2y^2;\ 35xz^3)=5x$

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How do you write an equation of a line that is parallel line to y=8x-8 through the point (5,2)

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