The distributive property: a(b + c) = ab + ac
127 × 32 = 127 × (30 + 2) = 127 × 30 + 127 × 2 = (130 - 3) × 30 + (130 - 3) × 2
=(130)(30) - (3)(30) + (130)(2) - (3)(2) = 3900 - 90 + 260 - 6
= 3810 + 254 = 4064
127 × 32 = (130 - 3) × 32 = 130 × 32 - 3 × 32 = 130 × (30 + 2) - 96
= (130)(30) + (130)(2) - 96 = 3900 + 260 - (100 - 4) = 4160 - 100 + 4
= 4060 + 4 = 4064
The distance from the safe zone after t seconds is .
Given
Rachel is a stunt driver.
One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safezone.
A linear function containing one dependent and one independent variable.
It is represented in the form of;
Where m is the slope.
Let, D(t) = the distance to the safe zone (measured in meters)
t = time (measured in seconds)
At seconds t = 4 seconds D(t1) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.
Hence, the linear function expression is;
The value of b is;
Therefore, the distance from the safe zone after t seconds is .
To know more about the Linear function click the link given below.
Answer: The required function is,
D(t) = 166 - 4 t
Step-by-step explanation:
Here, the speed of the stunt driver = 24 meters per seconds,
⇒ The distance he will cover in 4 seconds = 24 × 4 = 96 meters
( Distance = speed × time )
According to the question,
The distance of the safe zone from the building where did he escape = 70 meters + The distance he covers in 4 seconds
= 70 + 96
= 166 meters
Hence, if he is driving with the constant speed of 24 meters per minutes,
Then, his distance from the safe zone after t seconds = 166 - 24 t
⇒ D(t) = 166 - 24 t
Which is the required function.
equally among the m members of the band.
Which equation represents the amount, A, each member receives?
A. A=
m
2.000
2.000
B.A
=
C. A = 2,000m
D. A = 2.000 - m
Answer:
Step-by-step explanation:
Given : Members of the band sold soda and popcorn at a college football game to raise money for an upcoming trip. The band raised $2,000.
The amount raised is divided equally among the m members of the band.
Using division operator , the amount each member gets=2000 ÷ m
or we can write it as
Now, the equation represents the amount, A, each member receives is given by :-
Answer: There are 632 triangles in an octagon. (a big one)
But usually 8, it depends how big the triangle is.