Answer:
All triangles need to have 180 degrees
subtract the angles you already know
180 - 102 - 46 = 180 - 148 = 32
There is 32 degrees left so 32 is the answer
Step-by-step explanation:
Answer:
h(t) = -5*t^2 + 20*t + 2
Step-by-step explanation:
First, we know that the motion equation of the ball will be quadratic, so we write the equation:
h(t) = a*t^2 + b*t + c
Now we need to work with the data in the table.
h(1) = 17
h(3) = 17
h(1) = h(2) = 17
Then we have a symmetry around:
(3 - 1)/2 + 1 = 2
Remember that the symmetry is around the vertex of the parabola, then we can conclude that the vertex of the parabola is the point:
(2, h(2)) = (2, 22)
Remember that for a quadratic equation:
y = a*x^2 + b*x + c
with a vertex (h, k)
we can rewrite our function as:
y = a*(x - h)^2 + k
So in this case, we can rewrite our function as:
h(t) = a*(t - 2)^2 + 22
To find the value of a, notice the first point in the table:
(0, 2)
then we have:
h(0) = 2 = a*(0 - 2)^2 + 22
= 2 = a*(-2)^2 + 22
2 = a*(4) + 22
2 - 22 = a*(4)
-20/4 = -5 = a
Then our function is:
h(t) = -5*(t - 2)^2 + 22
Now we just expand it:
h(t) = -5*(t^2 - 4*t + 4) + 22
h(t) = -5*t^2 + 20*t + 2
The correct option is the first one.
Answer:
LCD of 3/8 and 3/10 is 40. The Equivalent fractions are 3/8 = 15/40 and 3/10 = 12/40 hope this helps :)
Step-by-step explanation:
Answer:
The distance between 2 points on a graph is given as:
root over of ((x2-x1)^2 + (y2-y1)^2)
using this formula we have,
root over of ((5-(-3))^2 + (1-(-4))^2
=root over of (64+25)= 9.43
Ans: the distance between A and b is 9.43 units.
The segment goes from point (-1, 3) to (1,-1)
Slope = rise / run = (-3 - 1) / (1 - (-1)) = -4 / 2 = -2
Slope = -2
