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ale4655 [162]
3 years ago
6

R t2. Simplify the expressionr stO D. r 15

Mathematics
1 answer:
leonid [27]3 years ago
6 0
\frac{ r^{-3} s^{5} t^{2} }{ r^{2}s t^{-2} }= r^{-3-2} s^{5-1} t^{2-(-2)}= r^{-5} s^{4} t^{4}= \frac{s^{4} t^{4}}{ r^{5} }
Answer: option C.
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An archway is modeled by the equation y = -2x^2 + 8x. A rod is to be placed across the archway at an angle defined by the equati
DIA [1.3K]
To solve this problem you must apply the proccedure shown below: 

1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
 2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:

 x−2.23(-2x^2+8x)+10.34=0

 3. When you apply the distributive property, you obtain:

 x−2.23(-2x^2+8x)+10.34=0
 x+4.46x^2-17.84x+10.34=0
 4.46x^2-16.84x+10.34=0

 4. When you solve the quadratic equation, you obtain:

 x=3 units

 Therefore, the answer is the option D: D. 3 units.
3 0
4 years ago
Read 2 more answers
Please help ASAP!!!! 10 points Complete the situate to form a true equation. X^2 -14x+__=(x-__)^2
mylen [45]

Answer:

x^2-14x+49=(x-7)^2

Step-by-step explanation:

This is completing the square

X^2 -14x+__=(x-__)^2

x^2-14x+49=(x-7)^2

-14/2=7

7^2=49

8 0
4 years ago
Given a 5 liter jar and a 3 liter jar and a unlimited supply of water, how do you measure out 4 liter exactly
andre [41]

Answer:

Given:

5 liter Jar

3 liter jar

Unlimited supply of water.

To measure out 4 liters exactly.

Steps to be carries out to measure out 4 liters of water exactly.

Water content: 3 liter jar = Empty , 5 liter jar = Empty

1) Fill the 3 liter jar completely with water.

3 liter jar = 3 liter , 5 liter jar = Empty

2) Empty the filled 3 liter jar of water by pouring it out into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 3 liter

3) Again fill the empty 3 liter jar completely.

Water content: 3 liter jar = 3 liter , 5 liter jar = 3 liter

4) Pour water from 3 liter jar into 5 liter jar until it is completely filled.

Water content: 3 liter jar = 1 liter , 5 liter jar = 5 liter

5)  Empty the 5 liter jar completely.

Water content: 3 liter jar = 1 liter , 5 liter jar = Empty

6) Empty the 3 liter jar by pouring the water into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 1 liter

7) Fill the 3 liter jar completely with water.

Water content: 3 liter jar = 3 liter , 5 liter jar = 1 liter

8) Empty the 3 liter jar by pouring it into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 4 liter

Now, we have exactly 4 liters of water in the 5 liter jar.

7 0
4 years ago
Which set of statements shows the correct steps to find 45% of 75
madreJ [45]

Answer:

60%

Step-by-step explanation:

How much is 45 out of 75 written as a percentage? Convert fraction (ratio) 45 / 75 Answer: 60%

(happy to help)

8 0
4 years ago
Which expression gives the height, h, of the triangle
user100 [1]

h=52 I hope that I helped you

4 0
3 years ago
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