Im not that sure but I think its the prism
You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.
<span>When converting a number with meters per second to a value with kilometers per second they best way to perform this operation is by using dimensional analysis or the factor label method. You would set up the equation starting with 5120 m/s times 1 km / 1000 m times 3600 s / 1 hr. It would look like this:
(5120 m/ 1 s) x (1 km / 1000 m) x (3600 s / 1 hr)
Your next step would be multiplying all the top numbers (numerators) together 5120 x 1 x 3600 = 18,432,000
Now multiple on the bottom numbers (denominators) together
1 x 1000 x 1 = 1000
Now you can divide the top product by the bottom product. 18,432,000 / 1000 = 18,432 km/hr is your final answer.</span>
Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 2x - 8
To find the x- intercepts let y = 0 , that is
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts : x = - 2, x = 4
The x- coordinate of the vertex is mid way between the x- intercepts, that is
= 
= 
= 1
Substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9
vertex = (1, - 9 )
