It will take 12 years for Benny to reach his moms height.
Benny’s mom: 48
Benny: 12
Half of 48 is 24, so Benny will have to turn 24.
24 - 12= 12
![\frac{3x}{x-4} - \frac{x+3}{x-4} = \frac{2x+7}{x^2-16}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7Bx-4%7D%20%20-%20%5Cfrac%7Bx%2B3%7D%7Bx-4%7D%20%3D%20%5Cfrac%7B2x%2B7%7D%7Bx%5E2-16%7D)
We factor the denominators
Factor x^2 - 16
x^2 - 4^2
We use a^2 - b^2 = (a+b)(a-b)
so x^2 - 4^2 = (x+4)(x-4)
Replace it in the given equation
![\frac{3x}{x-4} - \frac{x+3}{x-4} = \frac{2x+7}{(x+4)(x-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7Bx-4%7D%20%20-%20%5Cfrac%7Bx%2B3%7D%7Bx-4%7D%20%3D%20%5Cfrac%7B2x%2B7%7D%7B%28x%2B4%29%28x-4%29%7D)
Excluded values are the values that makes the denominator 0
we have (x-4) and (x+4) in the denominator
We set the denominator =0 and solve for x
x-4 =0
Add 4 on both sides
x= 4
x+4=0
subtract 4 onboth side
so x= -4
Excluded values are x=-4 and x=4
Answer:
cosa = 3/5
Step-by-step explanation:
Use Trignometrical identity cosa = √
1
−
sin
^2a
cos a = √
1
−
16
/25 = √
9
/25 = 3
/5
Answer:
Step-by-step explanation:
<u>Number of those drive to school:</u>
<u>Number of those don't drive:</u>
<u>Probability:</u>
- P(Drive to school ' ) = 60/100 = 3/5
Answer:
If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.
Step-by-step explanation:
Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.