Answer:

Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is
.
Answer:
d = 10s
Step-by-step explanation:
The formula for calculating the speed of Sumi is expressed as;
Speed = distance/time
Given
Speed = 10ft/s
time = s seconds
Required
Distance travelled as a function of time;
from the formula;
Distance = Speed * time
Distance = 10 * s
d = 10s
Hence the equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike is;
d = 10s
80 miles per hour is 128.74752 kilometers per hour
Answer:
0.6 seconds to 2.6 seconds
Step-by-step explanation:
From the graph the ball reaches 28 feet after 0.574 seconds
and doesn't fall below that until 2.614 seconds
0.574 rounded is 0.6 seconds
2.614 rounded is 2.6 seconds
In any rhombus, the four sides are the same length.
Because of this, we know that
Furthermore, AC = AC due to the reflective property
Those three facts then allow us to prove triangle ACD is congruent to triangle ACB through the SSS congruence property. Then from CPCTC, we then know that angle DAC = angle BAC, which is enough to show that AC bisects the angle shown. The term "bisect" means "cut in half".