How do i solve 19. c)

Mathematics

1 answer:

sladkih [1.3K]2 years ago

5 0

Answer:

n₁ = 8

n₂ = - 3

Step-by-step explanation:

√(7n + 25) - n = 1

√(7n + 25) = n + 1

[√(7n + 25)]² = (n + 1)²

7n + 25 = n² + 2n + 1

n² + 2n + 1 - 7n - 25 = 0

n² - 5n - 24 = 0

n² + 3n - 8n - 24 = 0

n(n + 3) - 8(n + 3) = 0

(n - 8)(n + 3) = 0

n - 8 = 0 => n₁ = 8

n + 3 = 0 => n₂ = - 3

You might be interested in

Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5

Sergio039 [100]

Well just find the two means

The first on would be 25

The second one would be 25

So the answer is stay the same

Hope I helped brainlest???

6 0

3 years ago

Read 2 more answers

Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was

lawyer [7]

24 minus 6=18
18 divided by 6=3
3 miles

4 0

2 years ago

I did 3 over 7 then 8 over x. I'm getting decimals. ‍♀️

julia-pushkina [17]

Answer:

The length of side b is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle $ABC$ is similar to the triangle $XYZ$ . Therefore the following relation must be true:

$\frac{AB}{AC} =\frac{XY}{XZ}$

We know that side $AB$ is equal to 8, side $AC$ is equal to b, side $XY$ is equal to $2\frac{2}{3}$ , and side $XZ$ is equal to 3.

Substituting these values into the above relation and solving for b we get that:

$\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9$