Answer:
x^2+11x+10
or
(x+1)(x+10) since you can factor x^2+11x+10
Step-by-step explanation:
Let's do synthetic division.
We are dividing by x+2, so -2 will be on the outside. Like this:
-2 | 1 13 32 20
| -2 -22 -20
|___________________________
1 11 10 0
The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.
The other factor we found by doing this is (x^2+11x+10).
You can find more factors by factoring x^2+11x+10.
Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).
Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:

This is a quadratic equation which can be solved using a quadratic equation as shown below:

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
Answer:
12
96
9
38
25
Step-by-step explanation:
<h3>i.a+7 for a=5</h3>
5+7=12
<h3>ii.8(c+3) for c =9</h3>
8(9+3)
8(12)
96
<h3>iii.n+8 divided by 4 for n=28</h3>
=28+8 divided by 4
=36 divided by 4
=9
<h3>iv.6p+40 divided by 5 for p =5</h3>
=6×5+40 divided by 5
=30+40 divided by 5
=70 divided by 5
=38
<h3>v.3x+7 for x=6</h3>
=3×6+7
=18+7
=25
Okay I’ll try!!!!! Let me go check it out
Answer:
The answer should be 3 cubic cm
Step-by-step explanation:
First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3
To find volume, you plug the area in the volume formula
v=1/3 ah
v=1/3 (3)(3)
1/3(9) would be 3 cubic cm