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Leya [2.2K]
3 years ago
8

(X+3) (X-2) Standard form. Please show steps.

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Use distributive property:

(x+3)(x-2)=(x)(x)+(x)(-2)+(3)(x)+(3)(-2)\\\\=x^2-2x+3x-6=x^2+x-6

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The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
Nth term of the sequences....?<br>(a) 1, 4, 9, 16, 25 <br>(b) 3, 6, 11, 18, 27
denis-greek [22]
A. 36 as the numbers are adding by the next odd integer. An example is: 1–>4 is +3, 4–>9 is +5, 9–>16 is +7, and so on. This rule applies to both of our sequences.
b. 38.
Hope this helps :) brainly if possible so others can see.
7 0
3 years ago
Read 2 more answers
A system of equations is given below:
My name is Ann [436]
Solving by substitution:

y = 4x - 3 

2x + 7y = 41

Let us substitute the first equation y = 4x - 3  into the second.

2x + 7y = 41

2x + 7(y = 4x -3) = 41

2x + 7(4x -3) = 41

So that's the third option.

I hope this helps.
4 0
3 years ago
Read 2 more answers
Carol has to buy shirts for her entire family. There are 27 members in Carol's family. She pays $425 for all of the shirts. How
Fittoniya [83]

Answer:

She pays $15.74

Step-by-step explanation:

Divide 425 by 27

5 0
3 years ago
Solve for z: 11=6|-2z| -5
skad [1K]

Answer:

the roots are {-4/3, 4/3}

Step-by-step explanation:

Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:

11=6|-2z| -5 becomes 16 = 6|-2z|.

Dividing both sides by 12 yields

16/12 = |-z|

There are two cases here:  first, that one in which z is positive and second the one in which z is negative.

If z is positive, 4/3 = -z, and so z = -4/3, and:

If z is negative, 4/3 = z

Thus the roots are {-4/3, 4/3}

3 0
3 years ago
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