Answer:
The slope is -8
Step-by-step explanation:
To find the slope, we can do a very easy equation. We can do the formula
y1 - y2 / x1 - x2
We fit in all of the respective numbers to get the equation as this.
-51-(-75) / 7-10
Then, we get
24/ -3
Simple division gives us -8.
Answer:
t = 1.5 seconds
Step-by-step explanation:
Given that d = −4t^2 + 2t + 6,
where d = distance above the water and
t = seconds.
Let assume that it's a perfect parabola
At the symmetry
t = -b/2a
Where a = -4, b = 2
t = -2/2(-4)
t = 1/4
To determine how long it will take a diver to reach the water’s surface
d = −4t^2 + 2t + 6
At water surface d =0
4t^2 - 2t - 6 = 0
Factorizing the above equation leads to
4t^2 + 4t - 6t - 6 = 0
4t(t + 1) -6(t + 1) = 0
4t - 6 =0
4t = 6
t = 6/4= 3/2 = 1.5 seconds
Since t can't be negative so we ignore the second factor.
Answer:
62
Step-by-step explanation:
119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62
i hope this helped!
A set is closed under an operation if performing that operation on the elements of the sets results in another element of the set.
In other words, you can "combine" the elements of the set, and the result is also belonging to the set.
So:
- Set A is not closed under multiplication: you can choose to perform , and 8 is not in the set.
- Set B is closed under multiplication: the only multiplications you can perform are . So, every possible multiplication gives 0 or 1 as result, and they both belong to the set.
- Set C is not closed under multiplication: the multiplications you can perform are . So, the possible results are 1, 2 and 4, but 4 does not belong to the set.