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3 years ago

12

What is the value of m in this equation -4(m+6)=-8

2 answers:

Darina [25.2K]3 years ago

8 0

-4m-24=-8
(add 24 to both sides)
-4m=16
(divide by -4 on both sides)
m=-4

VashaNatasha [74]3 years ago

3 0

Let's solve your equation step-by-step.<span><span>−<span>4<span>(<span>m+6</span>)</span></span></span>=<span>−8</span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>4<span>(<span>m+6</span>)</span></span></span>=<span>−8</span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>4m</span></span>−24</span>=<span>−8</span></span>Step 2: Add 24 to both sides.<span><span><span><span>−<span>4m</span></span>−24</span>+24</span>=<span><span>−8</span>+24</span></span><span><span>−<span>4m</span></span>=16</span>Step 3: Divide both sides by -4.<span><span><span>−<span>4m</span></span><span>−4</span></span>=<span>16<span>−4</span></span></span><span>m=<span>−4</span></span>Answer: m=−4
Hope it helps and mark as brainliest! I like your profile pic BTW. Its cool :)

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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.

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Answer:

a) the area of a square is in terms of x is

$(x+1)^2$ centimeter square

b)The length of the rectangle is l = (x+1)

l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

area of square is $l^{2} = (x+1)(x+1)$

= $(x+1)^2$

b) Given length is l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is 24 cm

Area of rectangle = length X width

24 = (x+1)(x+1 -5 )

now simplification $24 = (x+1)^2 - 5 (x+1)$

apply (a+b)^2 = a^2+2 a b+b^2

$x^2+2 x+1-5 x-5 =24$

$x^2 -3 x -4-24=0$

$x^{2} -3 x -28 =0$

now find factors of 28 = 7 X 4 is

$x^{2} -7 x+4 x-28=0$

$x(x-7)+4(x-7)=0$

$(x+4)(x-7)=0$

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle = 24 = 8 X 3

24 =24

so we can not choose x=-4

we have to choose x =7 only

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3 years ago