All categories

2 years ago

Solve the equation by completing the

Mathematics

1 answer:

Marizza181 [45]2 years ago

5 0

Answer:

s ≈ - 0.5 , s ≈ 8.5

Step-by-step explanation:

s² - 8s - 4 = 0 ( add 4 to both sides )

s² - 8s = 4

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 4)s + 16 = 4 + 16

(s - 4)² = 20 ( take square root of both sides )

s - 4 = ± $\sqrt{20}$ ( add 4 to both sides )

s = 4 ± $\sqrt{20}$

Then

s = 4 - $\sqrt{20}$ ≈ - 0.5 ( to the nearest tenth ) ← smaller solution

s = 4 + $\sqrt{20}$ ≈ 8.5 ( to the nearest tenth ) ← larger solution

You might be interested in

Is this all correct?

Assoli18 [71]

Yes that is all correct u did a good job

7 0

2 years ago

Integers is

adell [148]

Answer:

See below

Step-by-s.ep explanation:

6. Let the 3 integers be k-2, k and k+2.

So k(k+2)-k(k-2) = 28

k^2 + 2k - k^2 + 2k = 28

4k = 28

k = 7.

So the 3 integers are 5, 7 and 9.

7 0

3 years ago

The population of white rhinos in 2001 was 11,670. The population is declining by 9% each year. What is the population expected

aksik [14]

You see I need to know also the reproduction rate as well to equalize it. If 9% of the population declines each year from 2001 to 2021, around 21,006 would die by 2021. Which is 180% more than the population. If the reproduction rate isn't high enough to beat the declination rates, they'd be extinct by then.

6 0

3 years ago

Can y’all help me I have two more to go

scZoUnD [109]

Answer:

Step-by-step explanation:

you can use a calculator, or this way of thinking about it :

the sqrt of 49 is 7. so rt46 is too small, and rt51 may be too big. rt50 is closer to rt49 ( 7's square) than rt47. so it is rt50

7 0

3 years ago

What is (-3 3/4) - (2 1/4)?

lisabon 2012 [21]