3 years ago

I need to find both of the solutions to the equation 100+(n-2)^ = 149

Mathematics

1 answer:

rodikova [14]3 years ago

5 0

Answer:

Step-by-step explanation:

hello :

100+(n-2)² = 149

100-100+(n-2)² = 149-100

(n-2)² = 49

(n-2)² - 49 =0 but 49=7²

(n-2)² - 7² =0 use identity : a²-b²=(a-b)(a+b)

(n-2-7)(n-2+7)=0

(n-9)(n+5)=0

n-9=0 or n+5=0

n=9 or n=-5

You might be interested in

Expand and simplify 9a+3(8-2a).

Zina [86]

9a + 24 - 6a
3a + 24
In bold is your answer

8 0

3 years ago

Read 2 more answers

jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya.

Debora [2.8K]

So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
M = 24
S = 16

4 0

3 years ago

Read 2 more answers

The radius of a circle is 9.7 m. Find the circumference to the nearest tenth?(help its urgent)

yulyashka [42]

Answer:

Step-by-step explanation:

Circumference C=2πr r=radius $\pi =3.14$