Answer:
x = -3, 6
Step-by-step explanation:
First, add 18 to both sides
x² - 3x - 18 = 0
+ 18 + 18
x² - 3x = 18
Add 9/4 to both sides because that is the square of half of -3
x² - 3x + 9/4 = 18 + 9/4
Multiply both sides by 4 to get rid of the fractions
(x² - 3x + 9/4 = 18 + 9/4)4
4x² - 12x + 9 = 72 + 9 = 81
Factor the left side of the equation
(2x - 3)² = 81
√(2x - 3)² = √81
Because of the square root, this will result in a positive number and a negative number
2x - 3 = 9
2x - 3 = -9
For both equations, add 3 to both sides then divide by 2
2x - 3 = 9
+ 3 +3
2x = 12
2x/2 = 12/2
x = 6
2x - 3 = -9
+ 3 + 3
2x = -6
x = -3
Answer:
Step-by-step explanation:
1) Larger
2) Less/Close
3) Less
4) Less
5)Less
6) Close
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Answer:
90 square feet
Step-by-step explanation:
36 square feet divided by 4 square yards equals to 9 square feet for 1 square yard.
9 square feet times 10 square yards equals to 90 square feet.
Answer:
Its 63...I just took the same test on ALEKS
Step-by-step explanation:
Solution:
We have to prove that ,
△ABC ~ △Z Y X Using SAS.
It is given that , ∠X ≅ ∠C .
You must keep in mind when two triangles are similar by S A S
1. The included side between the angle should be Proportional.
2. We have to prove that ,
△ABC ~ △Z Y X Using SAS.
It is given that , ∠B ≅ ∠Y .
The included side between the given angle should be Proportional.
3. We have to prove that ,
△ABC ~ △Z Y X Using SSS.
The three sides of two triangles must be Proportional.
