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Iteru [2.4K]
3 years ago
14

What is a solution to (x + 6)(x + 2) = 60?

Mathematics
1 answer:
Reika [66]3 years ago
5 0

Solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: (x+6)(x+2)=60

Solving:

(x+6)(x+2)=60

Multiplying terms on the left hand side

x(x+2)+6(x+2)=60

x^2+2x+6x+12=60

x^2+8x+12=60

x^2+8x+12-60=0

x^2+8x-48=0

Now factorizing:

x^2+12x-4x-48=0

x(x+12)-4(x+12)=0

(x-4)(x+12)=0

(x-4)=0\,\,and\,\,(x+12)=0

x=4\,\,and\,\,x=-12

So, solution of the equation (x+6)(x+2)=60 is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

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Plz help with this math question.Thx:) Don't forget to show your work.
sergij07 [2.7K]
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so 20/196 is the ratio which equals about .102041

then multiply that decimal by the weight in the x row to see what x is

so 1078(.102041) = 110.000198 just round that to 110. you can also verify that ratio by checking other data points. for instance

490(.102041) = 50.00009 or 50

so you know x is 50 so answer is either b or d

then you know the ratio .102041, so does (10/98) = .102041

or does (98/10) = .102041

if you do the division you will see that (10/98) = .102041

so the answer is D
5 0
3 years ago
EASY GEOMETRY** name the angle labeled in blue​
anyanavicka [17]
Obtuse
The angle is larger than 90° but smaller than 180°
7 0
3 years ago
Read 2 more answers
What is:<br> <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4x%5E%7B2%7D%20-20x%2B25%20" id="TexFormula1" title=" \sqrt{4x^{2} -
Firdavs [7]

We are given :

\sqrt{4x^{2}-20x+25}

Step 1: factor the part inside square root

The function given inside square root is of quadratic form.

So let us try to factorise it using AC method.

Here A*C = 4*25 = 100

so we have to find factors of 100 that add up to give -20.

the two factors are -10 and -10.

Rewriting the function :

4x^{2} -20x+25

=4x^{2} -10x-10x+25

=2x(2x-5) - 5(2x-5)

=(2x-5)^{2}

Step 2:

Now we take square root of the factorised form

\sqrt{(2x-5)^2}

= 2x-5

Answer : (2x-5)

3 0
3 years ago
2 women and 7 girls can do a peice of work in 4 days.4 women and 4 girls can do the same work in 3 days. How long would it take
svetlana [45]

Answer:

x: work a woman can do in 1 day

y: work a girl can do in 1  day

Then

2x + 7y =1/4

4x + 4y =1/3

4x + 14y =2/4 (1)

4x + 4y  =1/3 (2)

=> Let (1) - (2), 10y =2/4-1/3 <=>10y = 1/6 <=> y = 1/(6x10) = 1/60 (work)

=> From (2),4x = 1/3 - 4x1/60 => 4x = 16/60 => x = 4/60 (work)

=> 1 day, a woman and a girl can do: 1/60+4/60 = 5/60 =1/12 (work)

Then, the day required for a woman and a girl to complete work: 12 days

3 0
3 years ago
What are the x- and y-intercepts of the graph of 5x-4y= -20
lakkis [162]

To find the intercepts, we can set the opposite variable equal to 0 and solve.

Let's find the x intercept first.

5x - 4(0) = -20

5x = -20

Divide both sides by 5.

x = -4

<h3>The x intercept is -4.</h3>

Now let's find the y intercept.

5(0) - 4y = -20

-4y = -20

Divide both sides by -4.

y = 5

<h3>The y intercept is 5.</h3>
7 0
3 years ago
Read 2 more answers
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