Sub y in the second equation by y in the first equation:
We get 4x+3(-3x+3)=-1
4x-9x+9=-1
-5x=-10
x=2
Sub in the first equation
y=-3(2)+3
y=-3
Answer:
2.33 Seconds
Step-by-step explanation:
The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars. We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.
To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0. So we simply set our equation to 0 and solve for t.
y = -6t^2 - 10t + 56
0 = -6t^2 - 10t + 56
0 = -1 (6t^2 + 10t + -56)
0 = -1 (3t - 7) (2t + 8)
(3t - 7) = 0 OR (2t + 8) = 0
3t = 7 OR 2t = -8
t = 7/3 OR t = -4
Since time will not be negative, we will want to choose the positive solution for this quadratic equation.
Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.
Cheers.
Answer:
C
Step-by-step explanation:
When we speak about the least common multiple, we are talking about the lowest number in which these given values are a factor of
Firstly, I would like to consider the number parts only I.e 3, 12 and 15. Using the long division l.c.m method, the lowest common multiple of these is 60.
In the options, there are two options carrying 60. How do we know which is correct? We simply look at the alphabets and try the long division again.
The highest powers of x and y is the 3rd power and hence gives their lowest common multiple.
Please check the attachment for the long division.
Answer:
Whenever you assume values, try and make them as accurate as possible i.e. I am looking for consecutive even numbers so I will assume the values to be (2n - 2), 2n and (2n + 2)
s2−r2−q2=(2n+2)2−(2n)2−(2n−2)2s2−r2−q2=(2n+2)2−(2n)2−(2n−2)2
You get: 4n (4 - n)
So the solution must have 4 as a factor, which we see all options do.
To get -20, n(4-n) must be (-5). It will happen when n = 5.
To get 0, n = 0
To get 12, n(4-n) must be 3. It will happen when n = 3
To get 16, n(4-n) must be 4. It will happen when n = 2
There is no way n(4-n) could be 2 if n is an integer so 8 is not possible.Step-by-step explanation:
Arc length from A to C (red line) is the given inside angle times 2, so AC = 50*2 = 100 degrees.
A full circle is 360 degrees, so arc ABC (blue line) would be 360 - 100 = 260 degrees.
The answer is D.
