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meriva
3 years ago
8

Write the equation of a line that is perpendicular to x = -1 and that passes through the Point (8, -4).

Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

y = - 4

Step-by-step explanation:

x = - 1 is the equation of a vertical line parallel to the y- axis

The equation of a line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (8, - 4 ) with y- coordinate - 4 , then

y = - 4 ← equation of perpendicular line

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You and two friends are playing basketball. You make 7 out of 15 shots. Your first friend makes 6 out of 10 shots and your secon
Nina [5.8K]
First, you will need to find the percentage of shots made for each person, or you can find the least common denominator. This is because it makes it easier to see how the numbers compare to each other in size. You can find the percentage of shots made by looking at how many shots a person made and dividing it by the total shots that person made, which us the denominator. Then, you would take the decimal and move it two places to the right. Once you find the percentages of all three people, you can then compare the percentages to each other. In this case, the higher the percentage, the better the shooter that person is.
4 0
3 years ago
What is y=-x^2-14x-59 in vertex form
marusya05 [52]

The equation of a parabola given y=-x^2-14x-59

We have to write it in vertex form.

The vertex form of a parabola is y=a(x-h)^2+k

So to write it in vertex form we have to make the right side as a perfect square by using completing the square method.

y= -x^2-14x-59

y=-(x^2+14x+59)

Here 14x given. By dividing 14 by 2 we will get 7. So we have to add and subtract (7)^2 to the right side.

y= -[x^2+14x+(7)^2-(7)^2+59]

y=-[x^2+14x+(7)^2-49+59]

We know that, a^2+2ab+b^2 = (a+b)^2, so x^2+(2)(x)(7)+7^2 = (x+7)^2.

y= -[(x+7)^2-49+59]

y=-[(x+7)^2 +10]

y=-(x+7)^2-10

So we have got the required vertex form of the parabola.

5 0
2 years ago
Find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antid
katovenus [111]

The most general antiderivative of the given function g(t) is (8t + t³/3 + t²/2 + c).

The antiderivative of a function is the inverse function of a derivative.

This inverse function of the derivative is called integration.

Here the given function is: g(t) = 8 + t² + t

Therefore, the antiderivative of the given function is

∫g(t) dt

= ∫(8 + t² + t) dt

= ∫8 dt + ∫t² dt + ∫t dt

= [8t⁽⁰⁺¹⁾/(0+1) + t⁽²⁺¹⁾/(2+1) + t⁽¹⁺¹⁾/(1+1) + c]

= (8t + t³/3 + t²/2 + c)

Here 'c' is the constant.

Again, differentiating the result, we get:

d/dt(8t + t³/3 + t²/2 + c)

= [8 ˣ 1 ˣ t⁽¹⁻¹⁾ + 3 ˣ t⁽³⁻¹⁾/3 + 2 ˣ t⁽²⁻¹⁾/2 + 0]

= 8 + t² + t

= g(t)

The antiderivative of the given function g(t)is (8t + t³/3 + t²/2 + c).

Learn more about antiderivative here: brainly.com/question/20565614

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8 0
1 year ago
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3 The median of the
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3 because it’s the middle number 1222(3)5788 hope I helped u out
8 0
3 years ago
Read 2 more answers
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Find the greatest common factor. In this case it is 3. Divide each group by 3.
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30÷3=10 dimes
48÷3=16 nickels
Next count them by the coin's value:
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10 × 0.10 = $1
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= $3.05 in each group and there are three groups.

So, the greatest number of groups that he can make is 3; there will be 5 quarters, 10 dimes, and 16 nickels in each group, which is worth $3.05 in each group.
3 0
3 years ago
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