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klio [65]
3 years ago
12

What’s the endpoint if E is the midpoint of DF? F(5,8) E(4,3)

Mathematics
1 answer:
julsineya [31]3 years ago
5 0

The coordinates of D would be (3, -2)

In order to find this, we need to know that the value of E's points will always be the average of D and F's points. This is because it is the midpoint. Therefore we can use the following formula.

Value of x

(D + F)/2 = E

(D + 5)/2 = 4

D + 5 = 8

D = 3

Then we can do the same for the y values

Value of y

(D + F)/2 = E

(D + 8)/2 = 3

D + 8 = 6

D = -2

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Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
UkoKoshka [18]

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of  g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

m=\frac{y_2-y_1}{x_2-x_1}

Here, consider x_1=1 , x_2=2 , y_1=2, y_2=4

Substitute above, we get slope as,

m=\frac{4-2}{2-1}=2

Thus, equation becomes g(x) = 2x + c  ...(1)

For c plug the values  in (1),

(1,2) ⇒ 2= 2 + c ⇒  c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.




3 0
3 years ago
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anyanavicka [17]

Answer:

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Step-by-step explanation:

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6 0
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Select the two binomials that are factors of this trinomial x^20 - x - 20
Mashcka [7]

Answer:

(x-5)(x+4)

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

-5+4 = -1

x^2-x-20 = (x-5)(x+4)

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4 years ago
PLease evaluate this math problem for me!!
umka2103 [35]

8(1/4)

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3 years ago
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Step-by-step explanation:

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