E
2x - 48 = 10x
-2x -2x
-48 = 8x
/8 /8
-6 = x
if you move all of your x's on to the same side it is easier to solve
Ok
Probability (the point will be on unshaded part) = area of unshaded part / area of the circle.
= pi r^2 - s^2
-------------- where r = radius of circle and s = length of the side of the square.
pi r^2
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get


The required equation of the quadratic function is
where, a is a constant.
Putting a=1, we get

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is
.
Answer:
The base angles are 36° each
Step-by-step explanation:
An isosceles triangle is a triangle that has two of its sides and base angles to be equal.
If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.
Since the sum of angles in a triangle is 180°
The remaining angle in the triangle = 180°-108°
= 72°
Since the base angles are equal, this remaining two angles will share angle 72° equally.
The base angles = 72°/2
The base angles = 36°
This shows that the base angles are 36° each.
Answer:
B. -90
Step-by-step explanation:
a1=9; d=-3
a34=9-3(33-1)=-90