Answer:
x=10
Step-by-step explanation:
according to the question
(x+2)(x-2)=96
=>x^2-4=96
=>x^2=96+4
=>x^2=100
=>x=√100
Therefore
x=10
x=-10
As width and length can't be negative
So x=10
Width=10-2=8
Length=10+2=12
12×8=96 (proven)
Answer: x + 2x - 3 = 42 is the equation and kara is 15 years old and cassies is 27 years old.
Step-by-step explanation:
Let age of kara be x years
Cassie's age will be 2x-3 years
ATQ
x + 2x-3 = 42
3x = 42+3
3x = 45
x = 45/3
x = 15
Kara's age = 15 years
Cassie's age = (15×2)-3
= 30-3
= 27 years
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The answer is ABC=65 degrees. An angle bisector simply cuts the angle in half. So if DBC=65 degrees, then ABC=65 degrees.
Answer:
(-2, 3)
Step-by-step explanation:
Given the system of equations:
-3x + 2y = 12
x = 2y - 8
You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':
-3(2y - 8) + 2y = 12
Distribute: -6y + 24 + 2y = 12
Combine like terms: -4y + 24 = 12
Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12
Divide both sides by -4: -4y/-4 = -12/-4 or y = 3
Use y = 3 to solve for 'x':
x = 2(3) - 8 or 6 - 8
x = -2
(-2, 3)
Answer:
4x - 20
Step-by-step explanation:
Combine like terms (those with the same amount of variables:
x + x + x + x = 4x
4x - 20 => Note: You cannot combine these two terms, because they do not have the same amount of variables (one having one variable (x), the other being a constant (no variable) ).
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