7x-7-2x-2+3x-12=8x-21
I think
Answer: 5+d
Step-by-step explanation:
More means adding and it doesn't matter which order you put it in in adding.
Answer:
the answer is B
a 3d rectangle slided vertically can produce a 2d rectangle
Answer:
305.78 in2
Step-by-step explanation:
The rocket has two parts: one is a cylinder and the other is a cone.
To find the total volume of the rocket, we need to find firstly the volume of each part.
The cylinder has a radius of 2 inches and a height of 2*12 + 5 - 7 = 22 inches, so its volume is:
V1 = pi * r^2 * h = pi * 2^2 * 22 = 276.46 in2
The cone has a radius of 2 inches and a height of 7 inches, so its volume is:
V2 = (1/3) * pi * r^2 * h = (1/3) * pi * 2^2 * 7 = 29.32 in2
Then, we have that the volume of the rocket is:
V = V1 + V2 = 276.46 + 29.32 = 305.78 in2
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x =
and x = 1
Thus, we get coordinates:
and (1, 4)