Pythagorean thoerem
we imagine the wall as a leg of a right triangle, the ladder is the hypotonuse and the distance from the bottom of the ladder to the wall is the other leg
so if we have a right triangle with leg length a and b and hypotnuse length c then
a²+b²=c²
so
given that one of the legs is 9ft (9 ft is the height of the triangle)
and the hypotnuse is 12 ft (length of ladder)
then say the last leg is x
so
x²+9²=12²
x²+81=144
mius 81 both sides
x²=63
sqrt both sides
x=√63
x=3√7
you should place it 3√7ft or about 7.9 or 8ft away
Answer:
6
Step-by-step explanation:
Absolute value just means you make negatives into positives so it's just 6.
Answer:
for #1 its the 1st and 4th box
for # 2 it's 13.5 and 20.25
Step-by-step explanation:
1st box - 10 ÷ 5 = 2 and 25 ÷ 5 = 5
4th box - 10 x 2 = 20 and 25 x 2 = 50
you have to make sure that you do the same thing for both sides of the equation
6 x 2.25 = 13.5
9 x 2.25 = 20.25
Dilation is an enlarging or shrinking of a math figure using a specific scale factor
multiply your numbers by that given scale factor to give you your answer of option 2
hope this is right I'm not completely positive about the send one.
First row, the answer on the left , -5 3/4 - 4 2/3
The first step for absolute value equations is to isolate the expression contained within the absolute value bars:
3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4
so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.
2x+4 = 4
AND
2x+4 = -4
solve both of those two step equations and you'll get
x = 0
AND
x = -4
so 0 and -4 are your solutions.
