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3 years ago

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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If x = -2, what does -x mean

pickupchik [31]

Answer:

Step-by-step explanation:

If,

x = -2

Then,

-x = -(-2)

=> -x = 2 (Ans)

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3 years ago

How do you work out (7x+3)(7x-3)

spin [16.1K]

We can solve this using the FOIL method.

= (7x + 3)(7x - 3)

= (7x * 7x) + (7x * -3) + (3 * 7x) + (3 * -3)

= 49x - 21x + 21x - 9

= 49x - 9

Hope This Helped! Good Luck!

7 0

3 years ago

Suppose the value R(d) of d dollars in euros is given by R(d)-d The cost P(n) in dollars to purchase and ship n purses is given

S_A_V [24]

Corrected Question

Suppose the value R(d) of d dollars in euros is given by $R(d)=\dfrac67 d$ . The cost in dollars to purchase and ship n purses is given by P(n)=66n+23. Write a formula for the cost, Q(n) in euros to purchase and ship n purses.

Answer:

$Q(n)=\dfrac67(66n+23)$

Step-by-step explanation:

The value R(d) of d dollars in euros is given by $R(d)=\dfrac67 d$

Therefore:

$R(1)=\dfrac67$

$T$hat is, 1 dollars =\dfrac67$ euros$

The cost P(n) in dollars to purchase and ship n purses is given by:

$P(n) = 66n+23.$

Therefore, the cost, Q(n) in euros to purchase and ship n purses

$=\dfrac67 \cdot P(n)\\Q(n)=\dfrac67(66n+23)$

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3 years ago

(9c^6 )(3c^6 ) answer please and friend me

maks197457 [2]

Just multiply the bases and add up the exponents.

9c^6*3c^6 = 27c^6+6 = 27c^12 <- answer

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3 years ago

Write an explicit formula for an arithmetic sequence whose common difference is -4.5

makvit [3.9K]

If the difference is always -4.5, then it is always -4.5 times something, so that it changes -4.5 ever 1 number. This means that our equation is y=-4.5x. From there, we can add any constant, as it will not change the difference. I will leave that up to you to pick, so the equation is y=-4.5x+C, where C is any real number.

Hope this helps!

3 0

3 years ago