When the sum of 8 and a certain number is increased by 12, the result is the same as the product of 3 and the number. What is th
e number?
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
Since , through the Alternate Angle Theorem,
. We can solve for x by setting up an equation where both angles are equal to each other:
Now plug in x for both of the formulas to get their angles:
Answer:
or
The graph in the attached figure
Step-by-step explanation:
we have
Solve for x
Adds 2 both sides
Adds 8x both sides
Divide by 8.2 both sides
Remember that
substitute
Simplify
or
The solution is the interval ------> (-∞, 45/41)
All real numbers less than 45/41
In a number line , the solution is the shaded area at left of x=45/41 (open circle)
The graph in the attached figure
9514 1404 393
Answer:
(2, 3), (-3, 2), (-2, -3), (3, -2)
Step-by-step explanation:
You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...
(x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW
That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.
__
One possible square is ...
(2, 3), (-3, 2), (-2, -3), (3, -2)
