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faltersainse [42]
3 years ago
10

Which expression is the factorization of x2+10+21?

Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer:

(x + 3)(x + 7)

Step-by-step explanation:

Given

x² + 10x + 21

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (+ 10)

The factors are + 3 and + 7, since

3 × 7 = 21 and 3 + 7 = 10, hence

x² + 10x + 21 = (x + 3)(x + 7)

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Maggie's brother is 11 years younger than three times her age. The sum of their ages is 41.
brilliants [131]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

3 0
2 years ago
10th term of an= 20-2n
Dmitry [639]

Answer:

We have that a_{n} = 20-2n

Step-by-step explanation:

We have just to replace n=10 on the general equation

a_{10} = 20-2×10

Therefore:

a_{10} = 0

8 0
3 years ago
A plumber had a pipe that was 2 yards long he cut 18 inches off the end of the pipe
balandron [24]
To convert yards to feet, you would multiply it by 3. So, since there the pipe is 2 yards long, you could multiply 2*3 to get 6 feet. Then you can convert feet to inches by multiplying it by 12. 6*12 is equal to 72, so 2 yards is equal to 72 inches. Lastly, you can subtract 18 from 72, to get 54, and 54 inches would be your final answer.
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What is the length of a rectangle with an area of 48 yd squared, and a width of 3 yd
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3 years ago
Read 2 more answers
What's the slope-intercept form that passes through the points (0, -1) and (1, 5)?
Rzqust [24]

Answer:

<h2>         y = 6x - 1</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, -1)    ⇒     x₁ = 0,  y₁ = -1

(1, 5)     ⇒     x₂ = 1,  y₂ = 5

So the slope:

                     \bold{m=\dfrac{5+1}{1-0}=\dfrac{6}{1}=6}

The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.

(0, -1)    ⇒     x₀ = 0,  y₀ = -1      ⇒   b = -1

Therefore:

                 y = 6x - 1          ←  the slope-intercept form of the equation

5 0
3 years ago
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