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3 years ago

8

Solve the equation. -2(4g 1) = -8g - 2

1 answer:

Bad White [126]3 years ago

3 0

Hello there.

<span>Solve the equation. -2(4g 1) = -8g - 2

</span>no solution

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If BX/XC = AB/AC, then AC/AB = BX/XC. True False

Papessa [141]

False. I hope this helps.

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3 years ago

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On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.

$P(x,y)$ - Original point.

$k$ - Scale factor.

$P'(x,y)$ - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

3 0

3 years ago

What is the value of m in the equation 1/2m - 3\4n = 16 , when n = 8?

Rufina [12.5K]

1/2m -3/4n = 16

solve your system of equations.

n=8: (1/2)(m)+((−3)/4)(n)=16

Solve n=8 for n:

Substitute (8) for n in 1/2m+−3/4n=16:

1/2m+−3/4n=16

1/2m+−3/4(8)=16

1/2m−6=16(Simplify both sides of the equation)

1/2m−6+6=16+6(Add 6 to both sides)

1/2m=22

1/2m1/2 = 22 / 1/2(Divide both sides by 1/2)

m=44

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3 years ago

Find the product: <br><br>(i) (5 – 2x) (3 + x)

Ilya [14]

<h2><u>Solution</u>:</h2>

$\:$

$\large\red{ \longrightarrow} \pmb{ \sf{(5 – 2x) (3 + x)}}$

$\:$

$\mapsto \: \: \: \sf{5(3 + x) – 2x(3 + x)}$

$\:$

$\mapsto \: \: \: \sf{(5 × 3) + (5 × x) – (2x × 3) – (2x × x)}$

$\:$

$\leadsto \: \: \: \sf{ 15 + 5x – 6x – 2x ^{2} }$

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hope it helps!! :)

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3 years ago

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If PQ = QR, JK = 3x + 23 and LM = 9x - 19, find PK

MakcuM [25]

do you have a picture of the shape?

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4 years ago

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