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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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Please help me in number 20 please I need it ASAP

Ad libitum [116K]

Answer:

$r=\sqrt{\frac{A}{\pi}}$

Step-by-step explanation:

Given:

The area 'A' of a circle with radius equal to 'r' is given as:

$A=\pi r^2$

In order to rewrite the given formula in terms of radius 'r', we need to isolate 'r'.

Dividing both sides by π, we get:

$\frac{A}{\pi}=\frac{\pi r^2}{\pi}$

As $\frac{\pi}{\pi}=1$ , the above equation becomes:

$r^2=\frac{A}{\pi}$

Taking square root both the sides, we get:

$\sqrt{r^2}=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{A}{\pi}}$

We neglect the negative result while taking square root as the radius can't be a negative number.

Thus, the formula for radius 'r' in terms of area 'A' is given as:

$r=\sqrt{\frac{A}{\pi}}$

6 0

3 years ago

If the expected value (the mean) of successes in a binomial experiment of 100 trials is 55. Which of the following are not true?

Elis [28]

Answer:

All of the statements are true

Step-by-step explanation:

Given that :

Number of trials (n) = 100

Expected number of successes = 55

The number of successes of the 100 trials :

Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55

Using Normal approximation :

Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45

σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975

The probability distribution of x = B(n, p) = x = B(100, 0.55)

Using approximation ; N(p, σ) = N(55, 4.97)

Hence, All of the statements are true

7 0

3 years ago

Find the exact volume of the cylinder

Brums [2.3K]

Answer:

87.92 m^3

Step-by-step explanation:

Volume = 3.14r^2*h

r = 1/2 of diameter

h = 7m

Diameter = 4m so r = 2m

Let’s solve

V = 3.14(2)^2*7

V = 87.92 meters cubed.

5 0

3 years ago

Can someone tell me the answer?

Sedaia [141]

You just have to divide the decimals

7 0

4 years ago

A transformation is shown in the diagram. which transformation is shown?

IgorC [24]

Answer:

quadrilateral DEFG is reflected to form a quadrilateral D'E'F'G'

Step-by-step explanation:

Vertices DEFG are in a clockwise orientation. Those in D'E'F'G' are in a counterclockwise orientation. The only way vertex order is reversed is through reflection. Translation, rotation, or dilation will not do that.

quadrilateral DEFG is reflected to form quadrilateral D'E'F'G'

6 0

3 years ago

Read 2 more answers