Multiply both sides by -4/7
Answer:
Scott will have to do 44 practices
Step-by-step explanation:
Let X be the number of yards per practice.
Let P = number of practice Scott needs to do.
Multiply 20 yards by 4 sprints
X = 20yards × 4 sprints = 80 yards
Number of yards he had to sprint per practice will be:
1 mile = 1760 yards
Converting from miles to yards
X = 1760 × 2 miles = 3520 yards
Number of practice,P Scott need to do = (3520/80)yards
Number of Practice,P = 44
There are two triangles: a small one to the left and a big one, which includes the small one. They both have a common angle (the leftmost angle) and since (we can assume) the two columns meet the floor at right angles, they both have two equal angles. This means they are similar (AAA).
Let the distance of the base of the stairs to the tallest column be d.
Because matching sides of similar triangles are in the same ratio,
4 / 6 = d / (6 + 12)
4 / 6 = d / 18
(4 * 18) / 6 = d
d = 12
The answer is C
Answer:
0 < y <= 6
Step-by-step explanation:
Given:
√(x² - 6x + 9)
if -3 <= x < 3
you can write (x² - 6x + 9)
as (x-3) * (x- 3) which is (x-3)²
so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:
| x - 3 |
So √(x² - 6x + 9) = | x - 3 |
See the graph in the attachment.
for -3 <= x < 3
you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.
This is written as 0 < y <= 6
