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3 years ago

Part A: What is the value of 2x if 4x + 6 = 2x – 12?

Mathematics

1 answer:

xeze [42]3 years ago

8 0

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

$\frac{6(x - 3)}{6}=\frac{24}{6}\\\\$

x - 3 = 4

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3 years ago

The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

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Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

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3 years ago

suppose the line segment whose endpoints are H(5,0) and I(-6,-3) is reflected over the y axis? what are the coordinates of H’I’?

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

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3 years ago

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Answer:

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