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3 years ago

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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What is the length of the hypotenuse of the triangle?

atroni [7]

Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

$h = \sqrt{ {p}^{2} + {b}^{2} }$

Put all values.

$h = \sqrt{ {24}^{2} + {10}^{2} }$

Simplify it.

$h = \sqrt{576 + 100}$

$h = \sqrt{676}$

Therefore, h= 26ft.

ANS: OPTION A.

Hope it helps....

3 0

3 years ago

Read 2 more answers

Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?

lora16 [44]

Answer:

The scale factor is $\frac{3}{2}$

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

$\frac{18}{12} \\\frac{3}{2}$

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

$\frac{30}{20} \\\frac{3}{2}$

The scale factor is $\frac{3}{2}$

5 0

2 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Gnesinka [82]

Answer:

Step-by-step explanation:

If a square has 4 sides and the perimeter is 12x + 52, you have to divide 12x + 52 by 4 to get the length of a single side

12x / 4 = 3x

52 / 4 = 13

3x + 13

8 0

3 years ago

Maya cut 3 1/4 yards of fishing line from a new reel. How much is this in inches

ikadub [295]

1 yard = 3 feet:

3.25 yards x 3 feet per yard = 9.75 feet.

1 foot = 12 inches:

9.75 feet x 12 inches per foot = 117 inches.

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2 years ago

There are 125 calories in a candy bar. There are 12 candy bars in a box. How many calories are in each box of candy bars?

Andrei [34K]

Answer:

1500

Step-by-step explanation:

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3 years ago