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3 years ago

How do you solve this problem in the photo?

Mathematics

2 answers:

Klio2033 [76]3 years ago

6 0

Answer: 5^2

Step-by-step explanation:

Since the base are all the same, you will add the exponents and let the exponents stay the same.

5^3 * 5^4= 5^7 * 5^-5= 5^2

Mashcka [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

The rule can be extended to include more than 3 terms.

Given

5³ × $5^{4}$ × $5^{-5}$

= $5^{(3+4-5)}$

= 5²

= 25

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The line plot shows the number of eggs found in each nest in a park. How many more nests had four eggs than two eggs?

lianna [129]

Answer:

B) 9

Step-by-step explanation:

We want to find how many nests had more than 4 eggs. That would mean how many nests had 5 6 or 7 eggs

There are 6 nests that had 5 eggs, 2 nests that had 6 eggs and 1 nest that had 7 eggs

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3 years ago

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Find the unknown side length, x. write your answer in simplest radical form.

amid [387]

Answer:

Unknown side length is $2\sqrt{119}$

C is correct.

Step-by-step explanation:

We are given a right angle triangle whose two sides are 24 and 10.

As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.

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Pythagoreous theorem:

$a^2+b^2=c^2$

where, a=x, b=10 and c=24

$x^2+10^2=24^2$

$x^2=576-100=476$

$x=\sqrt{476}$

$x=2\sqrt{119}$

Thus, Unknown side length is $2\sqrt{119}$

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