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3 years ago

Select the correct first step to solve the follow equation: −4(x−5)=−7x+10

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

Answer:

x = -10/3

Step-by-step explanation:

−4(x−5)=−7x+10

Use the distributive property to multiply −4 by x−5.

−4x+20=−7x+10

Add 7x to both sides.

−4x+20+7x=10

Combine −4x and 7x to get 3x.

3x+20=10

Subtract 20 from 10 to get −10.

3x=−10

Divide both sides by 3.

x = -10/3

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The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are

konstantin123 [22]

Answer:

Step-by-step explanation:

The numbers are 11 & 12

Explanation:

Let the first number be f and the second |number be s

Now the square of first No. is 23 less than the square of second No.

ie. f 2 + 23 = s 2 . . . . . (1)

The second No. is 1 more than the first

ie f + 1 = s . . . . . . . . . . .(2)

squaring (2), we get

( f + 1 ) 2 = s 2

expanding

f 2 + 2 ⋅ f + 1 = s 2 . . . . . (3)

Now (3) - (1) gives

2 ⋅ f − 22 = 0

2 ⋅ f = 22

thus, f = 22 2 = 11

and s = f + 1 = 11 + 1

So the numbers are 11 & 12

4 0

3 years ago

The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing

Sliva [168]

Answer:

Hi There!

Your answer is:

Length = 116

Width = 56

Step-by-step explanation:

L= 4+ 2w

Width=w

perimeter formula

l+l+w+w= perimeter

Subsitute L for 4+2w

(4+2w)+(4+2w) + (w) + (w) = 344

8 +4w+w+w = 344

8+ 6w = 344

-8

6w = 336

w= 56

PLUG BACK IN!

Length = 4+ 2w

Length = 4+ 2(56)

Length = 116

Width = 56

CHECK YOUR WORK

116+116+56+56= 344???

344 = 344 YES

HOPE THIS HELPS

3 0

3 years ago

Find a polar equation for the curve represented by the given cartesian equation. x2 + y2 = 10cx

RoseWind [281]

The usual rectangular to polar substitutions can be used:
x = r·cos(θ)
y = r·sin(θ)

These give
r² = 10c·r·cos(θ)
or
r = 10c·cos(θ)

6 0

3 years ago

Read 2 more answers

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Evgesh-ka [11]

Answer:

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3 years ago

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Answer:

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