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Olegator [25]
1 year ago
12

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

Mathematics
1 answer:
m_a_m_a [10]1 year 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

#SPJ9

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A line passes through the points (4, 9) and (12, 20). What is the slope of the line?
Mashutka [201]

Answer:

\frac{11}{8}

Step-by-step explanation:

→ State the gradient formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Find x₁ , x₂ , y₁ and y₂

x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20

→ Substitute in the values

\frac{20-9}{12-4}

→ Simplify

\frac{11}{8}

4 0
3 years ago
Find the difference quotient and simplify your answer. f(x) = 7x − x2, f(7 + h) − f(7) h , h ≠ 0
uranmaximum [27]
Whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21
4 0
3 years ago
A segment has endpoints A(-3,5) and B(2,1) find the midpoint M of the segment
Vlad1618 [11]

Answer:

Yes

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Determine the value of the expression 60-(9 / 3)^2+15
V125BC [204]

Answer:

its 66 :)

Step-by-step explanation:

I used a calculator:D

3 0
3 years ago
A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra
CaHeK987 [17]

Consider rectangular box with

  • length x units (x≥0);
  • width 3 units;
  • height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.

In your case,  

V_{box}=3\cdot x\cdot (8-x).

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)

7 0
3 years ago
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