Answer:
Step-by-step explanation:
3 pieces such that each piece is 2 cm longer then the next...
x , x + 2, x + 4
x + x + 2 + x + 4 = 30
3x + 6 = 30
3x = 30 - 6
3x = 24
x = 24/3
x = 8
x + 2 = 8 + 2 = 10
x + 4 = 8 + 4 = 12
check...
8 + 10 + 12 = 30
18 + 12 = 30
30 = 30 (correct)...it checks out
the ribbon lengths are : 8 cm, 10 cm, and 12 cm
Answer:
figure skates will be $1 cheaper.
Explanation:
<u>given equation</u>:
- to rent figure skates : f(x) = 1.50x + 2
- to rent hockey skates : h(x) = 2x +1.5
<u>solve for rent of figure skates</u>:
f(x) = 1.50x + 2.00
f(3) = 1.50(3) + 2.00
f(3) = 6.5
<u>solve for rent of hockey skates</u>:
h(x) = 2x + 1.5
h(3) = 2(3) +1.5
h(3) = 7.5
<u>cheaper - figure skates than hockey skates</u>:
$7.5 - $6.5
$1
Answer:O_O
Step-by-step explanation:
Answer:
Step-by-step explanation:
the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall
:
b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then
x^2 -20x +75 = 0 (x-15) * (x-5) = 0
x = 15 and x = 5
we reject x = 15
the shortest distance from the top of the vase to the wall is 5 cm
:
c) this is a left shift of the equation y = (x-10)^2
from b) we know that the left shift is 5 cm
10 - 5 = 5 cm from the wall to the base
:
d) y = (x-10+5)^2
y = (x-5)^2
Answer:
-83/20
Step-by-step explanation: