correct Option is B i.e, 
whose simplified form is: 
Step-by-step explanation:
We need to solve the expression:
![2[(6x)(6x)]+4[(12x - 9)(6x)]](https://tex.z-dn.net/?f=2%5B%286x%29%286x%29%5D%2B4%5B%2812x%20-%209%29%286x%29%5D)
Solving:
![2[(6x)(6x)]+4[(12x - 9)(6x)]\\=2[36x^2]+4[(12x*6x)-(9*6x)]\\=72x^2+4[72x^2-54x]\\=72x^2+288x^2-216x\\=360x^2-216x](https://tex.z-dn.net/?f=2%5B%286x%29%286x%29%5D%2B4%5B%2812x%20-%209%29%286x%29%5D%5C%5C%3D2%5B36x%5E2%5D%2B4%5B%2812x%2A6x%29-%289%2A6x%29%5D%5C%5C%3D72x%5E2%2B4%5B72x%5E2-54x%5D%5C%5C%3D72x%5E2%2B288x%5E2-216x%5C%5C%3D360x%5E2-216x)
So, correct Option is B i.e, whose simplified form is:
Keywords: Surface area of the rectangular prism
Learn more about surface area of the rectangular prism at:
#learnwithBrainly
Answer:3.84x10^10
Step-by-step explanation:
32,000,000 teenagers
1200 text messages per month
32,000,000 * 1,200= 38,400,000,000----(scientific notation)-----> 3.84x10^10
Answer:
6 and 8
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
Given this,
(3x)² + (4x)² = 10²
9x² + 16x² = 100
25x² = 100
Divide both sides by 25
x² = 4
x = 2
Substitute this into 3x and 4x.
3x = 3 * 2 = 6
4x = 4 * 2 = 8
Thus, the answer is 6 and 8
Answer:
diameter of the pizza = 21.88 centimeters
Step-by-step explanation:
Given:
C = d^2 – 2d + 447
where
C = cost of the pizza
d = diameter of the pizza
If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?
12 = d^2 – 2d + 447
d^2 - 2d = 447 - 12
d^2 - 2d = 435
d^2 - 2d - 435 = 0
Solve the quadratic equation using formula
a = 1
b = -2
c = -435
d = -b +or- √b^2 - 4ac / 2a
= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)
= 2 +or- √4 - (-1740) / 2
= 2 +or- √4 + 1740 / 2
= 2 +or- √1744 / 2
= 2 +or- 4√109 / 2
= 2/2 +or- 4√109/2
= 1 +or- 2√109
d = 1 + 2√109 or d = 1 - 2√109
= 1 + 2(10.44) or d = 1 - 2(10.44)
= 1 + 20.88 or d = 1 - 20.88
d = 21.88 or -19.88
diameter of the pizza = 21.88 centimeters
Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm
Answer:
x = 7
Step-by-step explanation:
recognize that this is a right triangle with one of the internal angles = 45°. This means that the other angle not shown is 180 - 90 - 45 = 45°
This makes the triangle an isosceles triangle.
If so, x must be the same length as the other side adjacent to 90°
i.e x = 7
