Answer:
QT = RT
Step-by-step explanation:
When drawing triangle PQR the perpendicular bisector cuts the triangle in half, which results in two sides that are congruent. This makes QT and RT congruent.
The vertex is (-1,1)
Explanation
The vertex formula to find the x coordinate of the formula is -b/2a
So we plug in the values into the formula which is
-4/2(2)
Simplify it
-4/4
=-1
-1 is now the x cord of the vertex.
So now we will plug in the x into the quadratic equation which is 2x^2+4x+3
2(-1)^2 + 4(-1) + 3 = 2 -4 +3
Simplify it
5 - 4= 1
Y=1
So the Coordinates of the vertex is (-1,1)
Replace n with 12.
9 + 12 / 3 - 6
Simplify.
21 / -3 = -7
Hope this helps!
Answer:
588 sq. in.
Step-by-step explanation:
The total volume of air inside the skylight is in the shape of a pyramid, not the rectangular prism at the bottom.
So, if we look at the pyramid, it has a square base with dimensions 14 x 14. Its height is 11 - 2 = 9.
Formula for volume of a pyramid is:
V = 1/3 * Area of Base * height
Area of Base (since it is a square) = 14 * 14 = 196
Height is 9
<em>plugging into the formula, we get:</em>
<em>
</em>
<em />
<em>Hence, volume is 588 sq. in.</em>
Answer:
105
Step-by-step explanation: