All categories

3 years ago

Rewrite (-9)^-2 without an exponent

Mathematics

2 answers:

Fantom [35]3 years ago

5 0

$=-9^{-2}$
<span> $=-\frac{1}{9^2}$
</span><span> $=-\frac{1}{81}$ </span>

Levart [38]3 years ago

3 0

1/(-9)^2 = 1/81 just that

You might be interested in

Question: Find m HK...

Serhud [2]

Answer:

104degrees

Step-by-step explanation:

From the given diagram, line LJ bisects KN, hence arcKL = arcHJ

Given

arHJ = 4x

arc KJ = x+39

Equating both

4x = x+39

4x - x = 39

3x = 39

x = 39/3

x = 13

Since arcHK = arcHJ + arcKJ

arcHK = x+39+4x

arcHK = 5x+39

arcHK = 5(13) + 39

arcHK = 65+39

arcHK = 104degrees

Hence the measure of arcHK is 104degrees

7 0

3 years ago

Charlize and Camille solved the equation 4x – 2y = 8 for y. Their work is shown

Aloiza [94]

Answer:

The answer to your question is below

Step-by-step explanation:

Equation 4x - 2y = 8 solve for y

First, pass 4x to the right side -2y = -4x + 8

Pass -2 to the right side y = -4/-2 x + 8 /-2

Simplify y = 2x -4 or y = -4 + 2x

I can not see clearly the work of Charlize and Camille, but the one that has the answer shown above is correct.

6 0

4 years ago

A 40% dye solution is to mixed with a 53% dye solution to get 260L of a 50% solution. How many liters of the 40% and 50% solutio

VLD [36.1K]

<h3>60 liters of 40 % dye solution is mixed with 200 liters of 53 % dye solution to get 260 liters of 50 % dye solution</h3><h3><u>Solution:</u></h3>

From given,

Final solution is 260 liter

Let x be the liters of 40 % dye solution

Then, (260 - x) is the liters of 53 % dye solution

Therefore, according to question,

x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution

<h3><u>Thus we frame a equation as:</u></h3>

40 % of x + 53 % of (260 - x) = 50 % of 260

Solve for "x"

$\frac{40}{100} \times x + \frac{53}{100} \times (260-x) = \frac{50}{100} \times 260\\\\0.4x+ 0.53(260-x) = 0.5 \times 260\\\\0.4x + 137.8 - 0.53x = 130\\\\0.13x = 137.8 - 130\\\\0.13x = 7.8\\\\Divide\ both\ sides\ by\ 0.13\\\\x = 60$