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forsale [732]
2 years ago
7

Which expression is the factorization of x2 10x 21?

Mathematics
1 answer:
muminat2 years ago
4 0

The factorization of the given expression \rm x^2+10x+21 is (x+3)(x+7) the option first is correct.

It is given that the expression \rm x^2+10x+21

It is required to find which expression is the factorization of the given expression, the options are:

a) (x + 3)(x + 7)

b) (x + 4)(x + 6)

c) (x + 6)(x + 15)

d) (x + 7)(x + 14)

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

\rm x^2+10x+21

\rm x^2+7x+3x+21  

Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is \rm 21x^2 and the addition is 10x.

\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)or

\rm (x+3)(x+7)

Thus, the factorization of the given expression \rm x^2+10x+21 is (x+3)(x+7) the option first is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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3. 
The area of a triangle can be given by (just plug and chug as always):
A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2
A_r = bh = 12(8) = 96m^2
Now we just add them:
96+12 = 108m^2

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
A_t = \frac{1}{2}bh
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2
Multiply by 4 to get total area:
6.25*4 = 25cm^2

So, the area of the given rhombus is 25cm².
8 0
3 years ago
How does the value of 874.12 change if the decimal point is moved two places to the left?
Rashid [163]

Answer:

C

Step-by-step explanation:

When you move the decimal either to the right or the left, you change the value. To divide any number by 10, move the decimal point one place to the left. For example:  

0.7

7

70

700

7,000

So, for any decimal, when you move the decimal point one place to the right, you multiply that number by 10.

3 0
3 years ago
Read 2 more answers
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