Answer:
4*sqrt(2)
Step-by-step explanation:
lets use Pythagorean Theorem
a^2+b^2=c^2
4^2+4^2=c^2
16+16=c^2
32=c^2
|c|=sqrt(32)
|c|=sqrt(4*4*2)
|c|=4*sqrt(2)
c= ±4*sqrt(2)
since distance can't be negative, the answer is +4*sqrt(2) or just 4*sqrt(2)
There are total 53 movies on the shelving unit
Step-by-step explanation:
<u>DATA</u>
Equal movies on the bottom 3 shelves: 3x
10 movies on each of the top 2 shelves = 2*10 = 20
<u>Equation:</u>
3x + 20
<u>Question:</u>
Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11
<u>Solution:</u>
3x + 20
3(11) + 20 = 33 + 20 = 53
Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.
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Answer: look at the ss :))
Step-by-step explanation:
Answer:
755,160 ways
Explanation:
We're told that 31 cars are in a race.
Considering the order in which the cars can finish in the top 4 positions, any of the 31 cars can finish in the first position, any of the remaining 30 cars can finish in the second position, any of the remaining 29 cars can finish in the third position and any of the remaining 28 cars can finish in the fourth position, so the different numbers of ways can be determined as seen below;
Answer:
y =
x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m =
=
= 
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y =
x - 5 ← equation of line