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3 years ago

Solve for x. 4(x+1)= -3x-10

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

7 0

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10 +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2

tatiyna3 years ago

3 0

Answer:

4x+4=-3x-10

4x+3x=-10-4

x= -14

Step-by-step explanation:

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Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line

marin [14]

Answer:

The equation in slope-intercept form will be:

y = -2x + 14

Step-by-step explanation:

Given

slope = m = -2

point (5, 4)

We know that the slope-intercept form of the line equation is

$y = mx+b$

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept

y = mx+b

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Therefore, the equation in slope-intercept form will be:

y = -2x + 14

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3 years ago

Find the value of x if 2x = 20 .

7nadin3 [17]

Answer:

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Step-by-step explanation:

Divide both sides by 2.

(2x) / 2 = 20 / 2

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3 years ago

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the

Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

= x ( x-3)

Given that the area of the rectangle = 70 square feet

x ( x-3) = 70

⇒ x² - 3x - 70 =0

⇒ x² - 10 x + 7 x - 70 =0

⇒ x (x -10) +7( x-10) =0

⇒ ( x+7) ( x-10) = 0

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Final answer:-

we choose x=10

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The width of the rectangle (w) = 7 cm

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3 years ago