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2 years ago

F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find FG

Mathematics

1 answer:

mezya [45]2 years ago

8 0

Answer:

FG = 10

Step-by-step explanation:

EF = x + 2 ; FG = 2x - 6

F is the mid-point of EG. So, EF = FG

$= > x + 2 = 2x - 6$

$= > 2x - x = 6 + 2$

$= > x = 8$

FG = 2×8 - 6 = 10

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4 times x with an exponent of 2 plus 2 times y with an exponent of 4. X=-3 y=2

Digiron [165]

Answer:

Step-by-step explanation:

Your equation is: $4*x^{2} +2 * y^{4}$

You also know that x = -3 and y = 2. You can rewrite the equation by substituting x and y with their actual values:

$4*(-3)^{2} +2 * 2^{4}$

First, you want to do the exponentiation (meaning you want to calculate $(-3)^{2}$ and $2^{4}$ parts). $(-3)^{2}$ equals 9 and $2^{4}$ equals 16.

So the equation now is:

$4*9+2*16$

Now you want to do multiplication. $4*9$ equals 36 and $2*16$ equals 32. So you're left with:

$36+32$

Which equals 68.

8 0

2 years ago

A certain 90-mile trip took 2 hours. Exactly 1/3 of the distance traveled was by rail and this part of the trip took 1/5 of the

antiseptic1488 [7]

The average rate, in miles per hour, of the rail portion of the trip is; D: 75

<h3>How to calculate the average speed?</h3>

Since exactly 1/3 of the distance travelled was by rail, then we can say that;

(1/3) * (90) = 30 miles

We are told that part of the trip took 1/5 of the travel time. Thus;

Time it takes to travel that distance is:

(1/5) * (2) = 2/5 of an hour

Average rate is;

30/(2/5) = 150/2 = 75 mph

Read more about Average speed at; brainly.com/question/4931057

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7 0

1 year ago

Calculate the area of triangle ABC with altitude BD, given A (−6, 0), B (0, 0), C (0, 6), and D (−3, 3).

nata0808 [166]

Answer:

18 unit²

Step-by-step explanation:

If BD is altitude then AC is the base.

<u>The length of AC is:</u>

AC = $\sqrt{6^2+6^2} = 6\sqrt{2}$

<u>The length of BD is:</u>

BD = $\sqrt{3^2 + 3^2} = 3\sqrt{2}$

A = 1/2bh
A = 1/2 * $6\sqrt{2} *3\sqrt{2}$ = 18 unit²

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2 years ago

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vredina [299]

X=1 Hopefully that helped

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wariber [46]

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2 years ago