Answer:
The answers would be as follows:
3
3
1
1
Step-by-step explanation:
We can tell that the first two have an infinite number of solutions because when we try to solve, we get a true statement. The first one is done for you below.
-6x + 7 = -6x + 7 ------> Add 6x to both sides
7 = 7 (TRUE STATEMENT)
We can tell the next two have no solution due to the fact that they develop a false statement when trying to solve.
-3x + 7 = 3x + 7 ----> Subtract 7 from both sides
-3x = 3x ---> Divide by 3
-x = x (UNTRUE STATEMENT)
Answer:
A. No
Step-by-step explanation:
So remember that the area of a trapezoid is 
, with b = bases and h = height. Before we can do the equation, however, we have to find the height. Using the right triangle, we can use the pythagorean theorem, which is 
.
Since we know that the hypotenuse is 13 and one of the legs is 12, we can solve for the other leg. Our equation will look like this: 
Firstly, solve the exponents: 
Next, subtract 144 on both sides: 
Next, square root both sides, and your height will be: x = 5
Now that we know both the height, 5, and the bases, 30 and 40, we can solve for the area of the trapezoid. Our equation will look like this: 
Firstly, combine everything on the numerator: 
Next, divide the fraction: 
Next, multiply, and your answer will be A = 175 un^2.
Answer:
(x - 9)(x - 3)
Step-by-step explanation:
Step 1: Write out quadratic
x² - 12x + 27
Step 2: Factor
<em>What 2 numbers add up to -12 and multiply to 27?</em>
-9 and -3 add up to -12 and multiply to 27.
(x - 9)(x - 3)
