2x+5=25
2x=25-5
2x=20
X=20/2
X=10
Let the number of years of watching TV be
x
.
The number of years sleeping exceeds the number of years watching TV by
18
. This means that the number of years sleeping is higher than the number of years watching TV by
18
and can be represented by
(x+18).
The total time is 34
years. So we can form the following equation and solve for the required values:
x+(x+18)=34
x+x+18=34
2x=34-18
2x=16
x=16/2
x=8
Thus, the number of years watching is 8
and the number of years sleeping is
8+18=26
.
Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Answer:
x = 2 ± 2 sqrt(5)i
Step-by-step explanation:
(x – 2)^2 + 20 = 0
Subtract 20 from each side
(x – 2)^2 + 20 -20=0 -20
(x – 2)^2 =- 20
Take the square root of each side
sqrt((x – 2)^2) =±sqrt(- 20)
x-2 = ±sqrt(- 20)
We know sqrt(ab) = sqrt(a) sqrt(b)
x-2 = ±sqrt(- 1) sqrt(20)
We know the sqrt (-1) = i
x-2 = ±i sqrt(4*5)
x-2 = ±i sqrt(4) sqrt(5)
Add 2 to each side
x-2+2 = 2 ±i sqrt(4) sqrt(5)
x = 2 ±i 2 sqrt(5)
x = 2 ± 2 sqrt(5)i
Answer:
its already simplest form, if you mean fractions, then the answer is 1 27/100
Step-by-step explanation: