Answer:
-12 = x
Step-by-step explanation:
-2x + 8 = -3x - 4 [Distribute the negatives to avoid confusion]
-x + 8 = -4; 12 = x
I am joyous to assist you anytime.
I don't know the questions you're working on. But I can tell you that
the formula (or equation) in your question doesn't look right to me.
-- If you know the circle's radius, then the circle's area is (pi) x (radius)².
-- If you know the circle's diameter, then the circle's area is (pi/4) x (diameter)².
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
Answer:
B
Step-by-step explanation:
For cartesian to polar transformation,
x = rcosA , y = rsinA.
Put in the values in the given equation. And (cosA)^2 - (sinA)^2 = cos(2A)
Answer:
The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.
Because the radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Let be the radius, the diameter, and the volume of the spherical balloon.
We know and we want to find
The volume of a spherical balloon is given by
Taking the derivative with respect of time of both sides gives
We now substitute the values we know and we solve for :
The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.
When d = 16, r = 8 and is:
The radius is increasing at a rate of approximately 0.025 in/s when the diameter is 16 inches.
Because the radius is changing more rapidly when the diameter is 12 inches.