Please help!!!!! simplify

Answers

Answer 1

Answer:

Answer:

Pretty sure it's B

Step-by-step explanation:

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What is the value of n in the equation below?StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
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6
12
27

Answers

Answer

Step-by-step explanation:

in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)

Answer:

Step-by-step explanation:

got 100 on the test.

Solve for x: −3|2x + 6| = −12 A.) x = 1 and x = 5
B.) x = −1 and x = −5
C.) x = −9 and x = 3
D.) No solution

Answers

Since this is an equation involving an absolute value, let 2x + 6 be positive first such that,

-3(2x + 6) = -12
2x + 6 = 4
2x = -2, x = -1
Then, let 2x + 6 be negative,
-3(-2x - 6) = -12
-2x - 6 = 4
-2x = 10 ; x = -5
Thus, the answer to this item is letter B.

$-3|2x + 6| = -12 \n|2x+6|=4\n2|x+3|=4\n|x+3|=2\nx+3 =-2 \vee x+3=2\nx=-5 \vee x=-1$

In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?

Answers

Answer: 3/4

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Explanation

The point (p,r) is on the line y = x+b

Plug in x = p and y = r to get r = p+b. Let's solve for b

r = p+b

b = r-p

This will be used later.

The point (2p,5r) is on the line y = 2x+b

Plug in those coordinates:

y = 2x+b

5r = 2*(2p)+b

5r = 4p+b

Next we replace b with r-p. This is valid because b = r-p.

5r = 4p+b

5r = 4p+r-p

5r = 3p+r

5r-r = 3p

4r = 3p

Then we follow the cross multiplication process in reverse.

4r = 3p

4r/4 = 3p/r

r = 3p/4

r/p = (3p/4)*(1/p)

r/p = 3/4 is the final answer

Final answer:

Using the given coordinates and equations, we find that the value of r/p is 3/4 after a process of subtracting and simplifying two equations.

Explanation:

The question is related to the linear equations in the xy-plane. Given two points, (p,r) and (2p,5r) which lie respectively on the equations y = x + b and y = 2x + b.

We have two points on two different lines:

Point A: (p, r) lies on the line y = x + b.
Point B: (2p, 5r) lies on the line y = 2x + b.

Substituting the coordinates of the first point into the first equation gives r = p + b. Similarly, substituting the coordinates of the second point into the second equation gives 5r = 2(2p) + b, which simplifies to 5r = 4p + b.

Now, subtract the first equation from the second to eliminate b, resulting in 5r - r = 4p - p, which simplifies to 4r = 3p.

Dividing by 4p gives us r/p = 3/4. So, the value of r/p is 3/4.

Learn more about equations

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The cheetah, which is the fastest land mammal, can accelerate from 0.0 m/s to 31 m/s in 3 seconds. What is the acceleration of the cheetah?

Answers

Answer:

10.33m/s

Step-by-step explanation:

Vfinal - Vinitial/time = acceleration

$(31 - 0)/(3)$

$= 10.33$

Round 32.697 to the nearest hundredths

Answers

32.697 is rounded to (32.7)because the hundreths place is 7 when the number is 5 and up you round up you round the tenths place up to 7

William owns 57.2 acres of land. He plans to donate land so a nature reserve can be built, but still needs 35.2 acres for his farm. If the developer of the nature reserve wants to use 54% of the donated land for a botanical garden, how many acres will be used for the garden?

Answers

Answer: 11.88

Step-by-step explanation: Subtract 35.2 from 57.2. Take your answer from that and multiply it by 0.54.

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