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rodikova [14]
3 years ago
11

How to solve this equation: 4(x+3)squared = 25(x-2)squared.

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0
4(x + 3)² = 25(x - 2)²

Square root both sides:
2(x+ 3) = 5(x - 2)

Distribute 2 and 5:
2x + 6 = 5x - 10

Take away 2x from both sides:
6 = 3x - 10

Add 10 to both sides:
16 = 3x

Switch sides:
3x = 6

Divide both sides by 3:
x = 2

Answer: x = 2
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Solve and graph the absolute value inequality: |2x + 4| > 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
Whats the percent change of 13.7 to 40.2
k0ka [10]

The percent change of 13.7 to 40.2 is 193.4%

To find percentage change, you need to find the difference between the two numbers. In this case, 26.5.

You then divide 26.5 by 13.7 and move the decimal point two spaces to the right.

6 0
3 years ago
Read 2 more answers
What is the equation of a line that is perpendicular to -1 +3y=9 and passes through the point (-3, 2)?​
kati45 [8]

Answer:

y-2 = 3/10(x+3)

Step-by-step explanation:

3y = 10

y = 10/3

looking for perpendicular so slope = 3/10

using the given point

y-2 = 3/10(x+3)

6 0
2 years ago
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If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
OLEGan [10]

Answer:

1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

5 0
3 years ago
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Which of the following is an Infinite two-dimensional figure?
HACTEHA [7]

Answer:

A line is an infinite two dimensional figure

5 0
3 years ago
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