Answer: B. (4x^2 + 20x)/(6x^2+x-2)
Division is the opposite of multiplication, so you just take 4x and multiply by x + 5, over 2x - 1 times 3x + 2, which is B.
Answer:
the answer is a
Step-by-step explanation:
i did the quiz
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
Answer:
First picture: 60
Second picture:
Step-by-step explanation:
The first step for the first picture is to find the area of the triangle on top. In order to do that, we have to use the equation: (W*L*1/2)
(3*4*1/2)=6
Then, we multiply the above equation by the Height. Which makes the equation become 60.
The first step for the second picture is the same. We first find the area of the triangle on top.
(12*9*1/2)=54
Then we multiply the height by our above answer.
(54*20)=1,080
The other measurements that were there aren't needed. So, next time, completely ignore them!
Hope you have a good day/night! Good luck!
