Answer:
≈ 10.63
Step-by-step explanation:
Pythagorean Theorem... Possibly the most easy theory in math once you understood it.
Here's the formula.
AB would be the hypothenuse
BC would be the opposite
CA would be the Adjacent.
But let's not make it complicated though, the question is actually quite easy.
You are asked to find AB, the hypothenuse.
The hypothenuse would be C.
BC and CA would be A and B.
It doesn't matter where are you going to place the numbers.
So,
= 113
Now we would have to square root 113 since
is an irrational number, and the question asks you to round ro the nearest tenth.
=10.63014581
≈ 10.63
Your answer would be 10.63
Hope this answer helped :)
Answer:
The solution is (0, 4)
Step-by-step explanation:
Please pay attention to the first two equations and drop the last two:
12x−5y=−20 y=x+4 x=x=x, equals y=y=y should ideally be:
12x−5y=−20
y=x+4
Let's find x. Substitute x + 4 for y in the first equation, obtaining:
12x - 5(x + 4) = -20
Carrying out the indicated multiplication, we get:
12x - 5x - 20 = -20, or 7x = 0
If x = 0 then y must be 0 + 4, or 4.
The solution is (0, 4)
Answer: The answers are in the photo.
Step-by-step explanation:
Hope this helps
Answer:
b = - 21
Step-by-step explanation:
calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)
m = 
= 
= - 4
y = - 4x + b ← is the partial equation
to find b substitute either of the 2 given points into the partial equation
using (- 4, - 5 ), then
- 5 = 16 + b ⇒ b = - 5 - 16 = - 21
There would probably be multiple ways to solve this, but I will only show you one of them.
First, we need to figure out how many tablespoons of the chemical solution it takes to decrease the number of bacteria in a gallon to 300. So we subtract 1200 by 300, to find the number of unnecessary bacteria, which is 900. Now we divide 900 by 75, which is 12. So it would take 12 tablespoons of the chemical solution to make a gallon have 300 bacteria.
There are 500 gallons, and we need to put 12 tablespoons of the chem-solution in each gallon. So we multiply 500 by 12, which is 6,000. Meaning that 6,000 tablespoons of chemical solution would be needed to make the 500-gallon tank have 300 bacteria per gallon.
