A9x) = x^2 - 6x + 9 = (x - 3)^2
length of a side = x - 3
Answer: 19.8 ft
Step-by-step explanation:
Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.
The formula says a^2 + b^2 = c^2
Where a and b are the two legs and C is the hypotenuse.
In this situation, the hypotenuse will be length of the ladder , and either a or b will be the length of the ladder from the building or the length of how long the ladder.
a will be 3 , and c will be 20. Input in the values into the formula and solve for b.
3^2 + b^2 = 20^2
9 + b^2 = 400
-9 -9
b^2 = 391
b = 
b = 19.77371 round to the nearest tenth is , 19.8
Answer:
Yes
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.
Hope this helps!
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Answer:
y=5/3x-3
Step-by-step explanation:
first, let's put 3x+5y=15 into y=mx+b form
move 3x to the other side
5y=-3x+15
divide by 5
y=-3/5x+3
now, perendicular lines have slopes that are negative and reciprocal.
With our new equation we can automatically find the slope, which would be 5/3.
now, we need to find b
plug the points (3,2) into y=5/3x+b
2=5/3(3)+b
2=5+b
-3=b
so that means that our equation will now be
y=5/3x-3.
Hope this helps!
Answer:6000
Step-by-step explanation:3 quarters is equal to 9/12. And 1/3 is equal to 4/12
If it is 9/12 full and 2500 gallons are drained then there are 4/3 left
9/12 - 4/3 is equal to 5/12.
Thta means 2500 gallons is 5/12 of the whole container
5/12 divided by 5 is 1/12
And 2500 divided by 5 is 500
That means every 1/12 of the container can fill 500 gallons
Do then 500 times 12 is 6000
Sorry I am really bad at explaining
