Answer:
The vertex is the point (-6,-34)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
In this problem we have

Convert in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square . Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares


The vertex is the point (-6,-34)
Answer:
$162
Step-by-step explanation:
Discount = percentage discount ÷ 100 × original cost
Discount =
× $405 = $162
Answer:
x=58 degrees
Step-by-step explanation:
The angle DB is equal to 90 degrees, so if you subtract 32 from 90 you get x, which is 58.
Answer:
-5/3
Step-by-step explanation:
Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.
We convert by using inverse operations to isolate y.
5x+3y=7
5x-5x+3y=7-5x
0x+3y=-5x+7
3y=-5x+7
.
The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.