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REY [17]
3 years ago
5

Find the coordinates of G if F(2,5) is the midpoint of line GJ and J and has coordinates (-2,8)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

G(6,2)

Step-by-step explanation:

If point F(x_F,y_F) is the midpoint of the segment GJ, where G(x_G,y_G) and J(x_J,y_J), then

x_F=\dfrac{x_G+x_J}{2},\\ \\y_F=\dfrac{y_G+y_J}{2}.

In your case,

F(2,5),\ J(-2,8),

therefore,

2=\dfrac{x_G+(-2)}{2},\\ \\5=\dfrac{y_G+8}{2}.

Thus,

x_G-2=4\Rightarrow x_G=6,\\ \\y_G+8=10\Rightarrow y_G=2.

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Salsk061 [2.6K]
The correct answer should be A) because the adjectives are water and ice and they're describing the glass.
6 0
3 years ago
Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
Darina [25.2K]

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

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3 0
3 years ago
Determine the average rate of change of f (x) = x² - 10x + 5 over the interval [-4, 4].<br> =<br> -
jeka57 [31]

Answer:

f ( x ) = ( x - 5 ) ² - 20

Step-by-step explanation:

1- Add the same value to both sides

f ( x ) = x ² - 10x + 5

2- Add 25 to the expression

f ( x ) + ? = x ² - 10x + ? + 5

3- Add 25 to the left-hand side

f ( x ) + ? = x ² - 10x + 25 + 5

4- Factor the expression

f ( x ) + 25 = x ² - 10x + 25 + 5

5- Move the constant to the right

f ( x ) + 25 = ( x - 5 ) ² + 5

6- Calculate

f ( x ) = ( x - 5) ² + 5 - 25

It will help me a lot if you count me as brainlist anyways good luck!

8 0
2 years ago
Hey can someone please help explain and answer this 1 question. There's a picture. Thank you!
Vilka [71]
The graph shown in the picture is a hyperbola. It can be shown that the center lies on the line of symmetry. In this case, it can be seen that center of the hyperbola is at (3,-5). A hyperbola has an equation of x^2/a - y^2/b =1. a and b are the units between the two curves. a and b are both equal to 4. SInce the center is (3,-5), the equation of the parabola is  (<span>x-3)^2/4 - (y+5)^2/4 =1.</span>
6 0
3 years ago
Can somebody help me please ​
Marrrta [24]

Answer:

(n)+(n+1)+(n+2)

6 0
3 years ago
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