Answer:
Aria played 2 games and went on 7 rides.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both of these questions involve proportions. You can set up an equation using equivalent fractions. You want to express to ratio of cm to km in Part A. Given the scale factor 5 cm = 2 km, then we can let c = the number of cm that represent an actual distance of 5 km. The following equation can be formed:
5/2 = c/5
Both of these fractions are a ratio of cm to km. To solve, we can cross-multiply.
2c = 25
c = 12.5 cm
You can use a similar process for Part B.
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
Answer:
The y intercept is -2
Step-by-step explanation:
To find the y intercept, set x = 0 and solve for y
2x-5y=10
0 -5y = 10
Divide each side by -5
-5y/-5 = 10/-5
y = -2
Well you would reverse the equation when it is solved, ie:
d = 1/2 + 3/4
and it would be the last answer, or 1.25 miles
