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2 years ago

3(x + 5) − 3 = 52 − 2x

2 answers:

7 0

3(x+5)-3=52-2x

1.multiply inside the parentheses by 3 >> {3x+15-3=52-2x}

2. subtract 15 and 2 >>>> {3x+12=52-2x}

3. 3x-2x= 1x >>>> {x+12=52}

4. 52-12= 40 >>> {x=40}

5. answer is 40

Anna11 [10]2 years ago

5 0

Answer: The value of x is 8

Step-by-step explanation:

3(x + 5) − 3 = 52 − 2x

First open the bracket, and do multiplication

3x + 15 - 3 = 52 - 2x

3x + 12 = 52 -2x

Collect like terms, and make the whole expression equal to zero

3x + 12 - (52 - 2x) = 0

3x + 12 - 52 + 2x = 0

3x + 2x + 12 - 52 = 0

5x - 40 = 0

5x = 40

Divide both sides by 5

5x/5 = 40/5

x = 40/5

x = 8

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Read 2 more answers

someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

<u>Area of triangle ABD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

<u>Area of triangle BCD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

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Answer:

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