Answer:
Choice B:
.
Step-by-step explanation:
For a parabola with vertex
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is
, such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant
.
Given that this parabola includes the point
,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for
:
.
.
Hence, the equation of this parabola would be:
.
Answer:
-21
Step-by-step explanation:
because theres two negitives so it makes it a positive
H = 27 m. Since these are scales of each other, you can solve for h by creating a ratio of the two lengths. Divide 36 by 4 to find the scale for the tree. 36/4 = 9. This means that the large triangle is 9 times larger than the small one. Now to find h, multiply the height of the small triangle by the scale. 3 x 9 = 27. This means the height, h, of the large triangle is 27 m. You can check this by dividing the length of each triangle by their height. If they are the same number, the scale is correct. 36/27 = 1.33, 4/3 = 1.33 ✅
Answer:
60, 36, 84
Step-by-step explanation:
The angles of a triangle always add up to 180 degrees.
If the ratios are 5:3:7, that means that there are 15 pieces that we can break up the 180 degrees by.
180/15 = 12
Each value is 'worth' 12 degrees.
Thus the angles would be the ratios multiplied by 12.
5 x 12 = 60
3 x 12 = 36
7 x 12 = 84