Answer:
yes
option 1
Step-by-step explanation:
The absolute value is the number disregarding (ignoring) the positive or negative sign. So the absolute value of -282 is l 282 l :)
Answer:
Convert into same base
Step-by-step explanation:
Convert both sides into same bases and equate the powers to solve for the variable.
Example:
8^x = 32
You can either use logs to bring the power down or convert both sides into the same base
8 = 2³
8^x = (2³)^x = 2^(3x)
32 = 2⁵
2^(3x) = 2⁵
3x = 5
x = 5/3
x = 1⅔
Answer:
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Step-by-step explanation:
Let
Cheryl's age = x
Rita's age = y
Two years ago, Rita was three times older than Cheryl
(y - 2) = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
= 3x - 4
y = 3x - 4
In 3 years, Rita will be twice older than Cheryl
(y + 3) = 2(x + 3)
y + 3 = 2x + 6
y = 2x + 6 - 3
= 2x + 3
y = 2x + 3
Equate both equations
3x - 4 = 2x + 3
Collect like terms
3x - 2x = 3 + 4
x = 7 years
Substitute x = 7 into
y = 2x + 3
= 2(7) + 3
= 14 + 3
= 17
y = 17 years
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Answer:
7
Step-by-step explanation:
In similar triangles, corresponding elements are proportional. Then we get,
(2x + 1)/(x-1) = 10/4
4(2x +1) = 10(x-1)
8x + 4 = 10x - 10
8x = 10x - 14
2x = 14
x = 7
Hope it helps and if it does, please mark me brainliest...
