All categories

3 years ago

Factor completely x2 + 25

Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

Answer:

(x - 5i)(x + 5i)

Step-by-step explanation:

Write this as x^2 + 25. Solving for x^2, we get x^2 = -25.

Recall that the square root of a negative number is an imaginary one. √(-25) equals ±5i (there are two roots, one positive and one negative).

Then x = ±5i.

In factored form, the given expression is (x - 5i)(x + 5i).

You might be interested in

Please help!!! 10 points up!

Dimas [21]

Statements are all TRUE

sinA = $\frac{a}{c}$ and cosB = $\frac{a}{c}$

cscA = 1/sinA = 1/(a/c) = $\frac{c}{a}$ and secB = 1/cosB = 1/(a/c) = $\frac{c}{a}$

tanA = $\frac{a}{b}$ and cotB= 1/tanB = 1/ (b/a) = $\frac{a}{b}$

8 0

3 years ago

ASAP! find the inverse of the function y=2x^2+2

jeka57 [31]

Answer:

$\displaystyle y=\sqrt{\frac{1}{2}x -1}$

Step-by-step explanation:

We want to find the inverse of the function:

$y=2x^2+2$

To find the inverse of a function, we will flip the variables and solve for <em>y</em>. So:

$x=2y^2+2$

Solve for <em>y</em>. Subtract two from both sides:

$x-2=2y^2$

Divide both sides by two:

$\displaystyle y^2=\frac{1}{2}x-1$

And take the principal square root of both sides. Therefore:

$\displaystyle y=\sqrt{\frac{1}{2}x -1}$

3 0

3 years ago

Raina ran for president of the chess club, and she received 76 votes. There were 80 members in the club. What percentage of the

lesantik [10]

Answer:

vr = 95%

Step-by-step explanation:

We have a total of 80 members of a club that represents 100%, now we want to know what percentage represent the 76 members who voted for raina (vr)

$vr=\frac{76v}{80vr}*100%= 95%$ % = 95%

5 0

4 years ago

Part of the population of 7000 oak in a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that four

lbvjy [14]

Answer:

Answer is 560

Refer below.

Step-by-step explanation:

4/50=x/7000

50x=28000

X=560

7 0

3 years ago

Find the x and y intercepts 5y + 3x = 15

Tomtit [17]

First, find the x-intercept.

The x-intercept will be at the point (x, 0) where x is any real number. If we substitute the x-coordinate and the y-coordinate for the x and y variables in the equation, we can solve for x.

5y + 3x = 15
5(0) + 3x = 15
3x + 15
x = 5

We found the x-intercept now find the y-intercept with the same process.

The y-intercept will be at the point (0, y) where y is any real number.

5y + 3x = 15
5y + 3(0) = 15
5y = 15
y = 3

So, the x-intercept is (5, 0) and the y-intercept is (0, 3)

8 0

3 years ago