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10 months ago

One endpoint of a line segment is located at (-15, -3). The other

Mathematics

1 answer:

m_a_m_a [10]10 months ago

6 0

The ordered pair for the other end is (35, 3).

Here, first endpoint = (-15, -3)

Midpoint = (10, 0)

From the midpoint formula, we know that:

M = (x1 + x2)/2 , (y1 + y2)/2

So, here M = (10, 0)

x2 = -15

y2 = -3

We will separate the equation (1), in two parts to get the value of x1 and y1.

(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0

For x1,

(x1 + (-15))/2 = 10

x1 = 35

For y1,

(y1 + (-3))/2 = 0

y1 = 3

So, x1 = 35 and y1 = 3.

Therefore, the ordered pair that represents the other end of the segment is (35, 3).

Learn more about midpoint formula here -

brainly.com/question/11085164

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3 years ago

The equations y = 30x + 10 and y = –x2 + 150x + 10 model the daily sales of two car models, where x represents the number of day

yuradex [85]

Answer:

day 0, day 120

Step-by-step explanation:

You want to find the value of x that makes both y-values be the same:

y = y

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x^2-120x = 0 . . . . subtract the right side of the equation

x(x -120) = 0 . . . . . factor

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3 years ago

Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.

NNADVOKAT [17]

Answer:

$y^3-8y^2+8y+5$

Step-by-step explanation:

Take one polynomial from the other means to perform the sub.traction of them. Recall that it is better to use grouping symbols when subtracting polynomials, so we get the signs right when combining like terms:

The indicated subtraction is: $y^3-6y^2+5y - (2y^2-3y-5)$

Make sure that before removing the grouping symbol (parenthesis) that is preceded by a negative sign, we change the signs of every term inside it. Then combine like terms to get the final answer:

$y^3-6y^2+5y - (2y^2-3y-5)=\\=y^3-6y^2+5y-2y^2+3y+5=\\=y^3-6y^2-2y^2+5y+3y+5=\\=y^3-8y^2+8y+5$