Answer:
<em>0m</em>
Step-by-step explanation:
Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;
h(x)=-x^2+10x-16
0=-x^2+10x-16
x^2-10x+16 = 0
Factorize
x^2-8x-2x+16 = 0
x(x-8) - 2 (x-8) = 0
x-2 = 0 and x - 8 = 0
x = 2 and 8
At x = 2
h(2) = -2^2 + 10(2) - 16
h(2) = -4 + 4
h(2) = 0
<em>Hence the height of the ball at the time it is thrown is 0m</em>
Answer:
Two consecutive numbers cubes differ by 271. Let the two consecutive numbers be x and x + 1. The difference of the two consecutive numbers is 271. ( x + 1 ) ^3 - x ^3 = 271. 1 + 3 x ^ 2 + 3 x - 271 = 0.
Step-by-step explanation:
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that: 
.
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.
AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
Answer:
Step-by-step explanation:
- Diagonals of a rhombus are perpendicular.
- Sides are of equal length.
<u>Use Pythagorean to work out the side length.</u>
- a² = (d₁/2)² + (d₂/2)²
- a² = (24/2)² + (45/2)² = 650.25
- a = √650.25
- a = 25.5 cm
<u>The perimeter is:</u>
- P = 4a
- P = 4*25.5 = 102 cm
So measure the pen in meters
