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Andrei [34K]
3 years ago
15

Use the Product Property for Exponents to explain why x · x = x2.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Whenever there is no exponent on a variable,

you can give it an exponent of 1.

So we can rewrite the x's in this problem as x¹.

When we multiply two terms together

with like bases, we add their exponents.

So now just add their exponents to get x².

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A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
skelet666 [1.2K]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Use the Angle Addition Postulate to find the measure of each angle.
Simora [160]
For number 15 and 16, you just have to find the absolute difference between the two points along the calibration of the protractor.

15. ∠BXC = |B - C| = |140° - 110°| = 30°
16. ∠BXE = |B - E| = |140° - 30°| = 110°

For numbers 20 and 21, apply the Angle Addition Postulate. This is when you add the individual interior angles to equate to the total angle.

20. ∠PQS = ∠PQR + ∠RQS
      112° = 72°+ 10x°
       x = 4

21. ∠KLM = ∠KLN + ∠NLM
      135° = 47°+ 16y°
       y = 5.5
5 0
3 years ago
Each day the sharks at an aquarium are each fed 12 pounds of fish for every 100 pounds of their body weight. If a shark at the a
Vitek1552 [10]

Answer:

40.8 lbs

Step-by-step explanation:

First find how many 100 pounds are in the 340 lbs shark.

340/100=3.4

The sharks are fed 12 lbs of fish for every 100 pounds of shark.

There are 3.4 hundred pounds in this shark.

3.4*12=40.8; 40.8 lbs

4 0
3 years ago
Help:<br> Expand -5(3n+2p+q)
S_A_V [24]
Hi!
The answer is -15n-10p-5q
5 0
3 years ago
Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying
Olegator [25]

Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

\frac{1}{15}-\frac{1}{x} = \frac{1}{35} <em>// multiply by 105x both sides.</em>

105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35} <em>// simplifly</em>

7x - 105 = 3x<em> //substract 3x and add 105 in both sides</em>

7x - 3x - 105 + 105 = 3x - 3x + 105 <em>// solve</em>

4x =  105 <em>//</em> <em>divide by 4 in both sides</em>

\frac{4x}{4} =  \frac{105}{4} <em>// solve</em>

x =  26.25

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

7 0
3 years ago
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