Answer:
Axis of symmetry is x = -4
Step-by-step explanation:
h(x)= 5x^2+40x+ 64
Use the formula for axis of symmetry: x = -b/(2a)
Here, a = 5, b = 40, c = 64
so
x = -40/(2*5) = -40/10 = -4
Axis of symmetry is x = -4
6 units to the left of 0 on a number line
Start with 1.
1st number = 1
2nd number = 1 * 4 + 3 = 7
3rd number = 7 * 4 + 3 = 31
4th = 31 * 4 + 3 = 127
5th = 127 * 4 + 3 = 511
Which means the 6th = 511 * 4 + 3, which is 2047.
Answer:0.000810
Step-by-step explanation:
Given
A committee of 3 members is formed using
5 Admin, 34 teachers, and 4 staff
Favorable outcomes are selecting 3 members as Administrators
total members =5+34+4=43
Probability is given by


Answer:
The slopes of WX and XZ
Step-by-step explanation:
The singular factor that determines if the parallelogram is a rectangle are the angles at the edges
Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle
So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product
Hence, the slopes of WX and XZ can be calculated to show this