If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)
Answers
( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
(2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
(8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )
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What is the value of x in the figure?A 42B 48C 132D 138
Answers
Area of Rectangle:
A= 21in x 16in = 336in^2
Area of Circle:
A = pi * r^2
A = 3.14 * (8in)^2
A = 3.14 * 64in^2
A = 201in^2
Subtracting the non shaded region from the area of the rectangle:
336in^2 - 201in^2 = 135in^2
Therefore, the answer is 1. 135in^2
To find the area of a rectangle you would use length x width
So it already gives you the length which is 21, now you can find the width by looking inside at the radius of the circle (8). That would be half of the width. Which means we would multiply 8 by 2.
8 x 2 = 16 so the width is 16. Now the only thing left to do is to multiply the width times the height.
16 x 21 = 336
The area of the rectangle is 336.
Next we need to find the area of the circle.
To find the area of a circle you would do Pi x r^2
The radius is 8. 8^2 = 64 then multiply that by Pi (3.14)
64 x 3.14 = 200.96
We have the area of the rectangle and the circle. The only thing left is to subtract the area of the circle from the area of the rectangle.
336 - 200.96 = 135.04
The answer would be 1. 135 in^2
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Answer:
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Step-by-step explanation:
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As per the given data, he value of c that makes a perfect square trinomial is c = 9.
What is trinomial?
A trinomial is a polynomial composed of three terms or monomials in elementary algebra.
To determine the value of c that makes a perfect square trinomial, we need to use the formula:
In this case, we want to find two numbers a and b such that:
Expanding the right-hand side, we get:
Comparing the two expressions, we see that:
The linear coefficient of x is 2a
The constant term is
Therefore, we need to find a number a such that 2a = 6 and a^2 = c. Solving for a, we get a = 3, and substituting into a^2 = c, we get c = 9.
Therefore, the value of c that makes a perfect square trinomial is c = 9.
For more details regarding trinomial, visit:
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Answer:
c = 9
Step-by-step explanation:
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2000 m=2 km
20 km is greater than 2000 m, which is only 2 km.