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2 years ago

- бх + 7(1-x) = -4(x-4)

Mathematics

1 answer:

enyata [817]2 years ago

7 0

6x + 7(1-x) = -4(x-4)
6x + 7 - 7x = -4x + 16
-x + 7 = -4x + 16
-x + 4x = 16 - 7
3x = 9
x =9/3
x = 3

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3 years ago

Se the distributive property to remove the parentheses. -(-3v-4w+1)

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$\leadsto\parallel\boldsymbol{Answer.}\parallel\gets$

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3v+4w-1

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$\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets$

We use the distributive property to "distribute" the minus sign.

$\sf -(-3v-4w+1)=-1\cdot(-3v)+(-1)\cdot(-4w)+(-1)\cdot1}$ .

Simplify!

$\sf 3v+4w-1}$ . Which is our final answer.

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1 year ago

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1 year ago

Find the perimeter of this semi-circle with radius, r = 22cm. Give your answer rounded to 1 DP.

shepuryov [24]

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69.1 cm

Step-by-step explanation:

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2 years ago

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Art [367]

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

$EF = ( BC + AD ) / 2$

Insert known equations.

$4x-18=[(x+12)+(3x-4)]/2$

Simplify within parentheses.

$4x-18=[x+12+3x-4]/2$

$4x-18=[x+3x+12-4]/2$

Add.

$4x-18=[4x+8]/2$

Divide.

$4x-18=2x+4$

Simplify.

$(4x-2x) +(-18+18)=(2x-2x)+(4+18)$

$2x=22$

Divide both sides by 2.

$x=11$

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

$BC =x+12$

$BC = 11+12$

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$AD = 4x-18$

$AD = 4(11)-18$

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$EF = 33-4$

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Answer:

Part I: x = 11

Part II:

BC = 23
AD = 26
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4 0

2 years ago

- бх + 7(1-x) = -4(x-4) ​

- бх + 7(1-x) = -4(x-4)