Answer:
Option D. is correct.
Step-by-step explanation:
Let us assume that x = seven square root three plus two square root nine
i.e. x = 7√3 + 2√9
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
⇒ x = 7√3 + 6
Here, 7√3 is an irrational number and 6 is a rational number.
The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D. is correct.
Answer:
The no. of boys = 20
The no. of girls = 12
Step-by-step explanation:
Ratio of no. of boys to girls = 5 : 3
[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]
5x + 3x = 32
= 8x = 32
=x = 32÷8 = 4
5x = 5 x 4 = 20
3x = 3 x 4 = 12
L=3w+5
2(3w+5)+2w=250 (both w and l have to be multiplied by two because there are two sides)
This can be simplified to: 6w+10+2w=250
Now subtract 10 from both sides and add the two w's together.
This makes: 8w=260
Divide both by 8: 32.5-w=32.5
32.5 times 2=65
250-65=185, divided by 2=92.5
Length=92.5
Width=32.5
hope this helped!
A. (x+8)^ 2 + 1
B. (x-3)^ 2 - 8
C. ( x - 3/2) ^ 2 - 1/4
