Answer:
Square both sides and then solves the resulting quadratic equations
Step-by-step explanation:
The equation is 3sqrt(x^2-6)=3sqrt(2x+2)
We can solve this by;
First square both sides;
(3√(x²-6))²= (3√(2x+2))²
We obtain;
9(x²-6)=9(2x+2)
We simplify to obtain a quadratic equation;
x²-6=2x+2
= x²-2x-8=0
Then we solve the quadratic equation;
x²-4x+2x-8=0
x(x-4)+2(x-8)=0
(x+2)(x-8)=0
Values of x = -2 or 8
The answer is C (a + 3 = b) <<<<<==== answer.
Answer:
C. If Diane gets a new job, it will cost her money.
Step-by-step explanation:
The law of syllogism follows the pattern
If a = b
and b = c
then a = c
In this question, the syllogism is
(a) If Diane gets a new job = (b) she'll need new clothes.
(b) If she needs new clothes = (c) it will cost her some money.
(a) If Diane gets a new job = (c) it will cost her some money.
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Answer is b. ( -1, -5)
Answer is b. (-1, -5)
Step by step
Substitute the x and y values into both equations to find equality
Answer b. Makes both equations equal
2x + y = -7
2(-1) + (-5) = -7
-2 -5 = -7
-7 = -7
it equals now let’s do the 2nd one
x - y = 4
-1 -(-5) = 4
4 = 4
This one equals too. I did the math on the other three answers and they did not equal.