Answer:
Work is shown below
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
Given
Parabola has x-intercept has
and 
and Y-intercept as 
Now the general equation of parabola is

Substitute
in
we get

Now substitute
in equation 

Now substitute
in equation 

Solving
and
we get

therefore


Answer:
$52
Step-by-step explanation:
35% off
100% - 35% = 65%
65/100 = 0.65 ( multiplier)
0.65 x 80 = 52
Answer:
x=63.25
Step-by-step explanation:
Hi there!
We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x
we need to find the value of x
Let's use trigonometry to do it
Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle
Recall that tangent is 
in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)
so tan(49)=
plug tan(49) into your calculator; remember to have the calculator on degree mode
tan(49)≈1.15 (rounded to the nearest hundredth)
so that means:
1.15=
multiply both sides by 55 to clear the fraction
63.25=x
Hope this helps!