Answer:
180$
Step-by-step explanation:
If two-thirds of Sam's weekly income is $480
so total is $720
720$/4= 180$
Answer:
The answer is:
58 km/hr
16.1 m/s
Step-by-step explanation:
406 km in 7h
x km in 1h
x= 1 x 406/7
x= 58 km/hr
58 km/hr ⇒⇒⇒⇒⇒⇒ 16.1 m/s
Answer:
Volume of a hexagonal pyramid = 588 square meter
Step-by-step explanation:
Given:
Base area of hexagonal pyramid = 147 square meter
Height of hexagonal pyramid = 4 meter
Find:
Volume of a hexagonal pyramid
Computation:
Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid
Volume of a hexagonal pyramid = 147 x 4
Volume of a hexagonal pyramid = 588 square meter
Answer:
(0, 6)
Step-by-step explanation:
The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).
Answer:
Step-by-step explanation:
Given a general quadratic formula given as ax²bx+c = 0
To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;
Step 1:
Bringing c to the other side
ax²+bx = -c
Dividing through by coefficient of x² which is 'a' will give:
x²+(b/a)x = -c/a
- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:
x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a + b²/4a²
- Taking the square root of both sides
√(x+b/2a)² = ±√-c/a + b²/√4a²
x+b/2a = ±√(-4ac+b²)/√4a²
x+b/2a =±√b²-4ac/2a
- Taking b/2a to the other side
x = -b/2a±√√b²-4ac/2a
Taking the LCM:
x = {-b±√b²-4ac}/2a
This gives the vertex form with how it is used to Solve a quadratic equation.
