<h2>Answer: </h2>
<u>In a right triangle, Relation of base and hypotenuse is cosine</u>.
cos40° = 10/h
0.76604 = 10 × h
0.76604h = 10
h = 10/0.76604 = 13.05units.
You start by finding the slope : y2 - y1 / x2 - x1
2 - 8 / 4 - (-16)
- 6 / 20
m = - 3 / 10
Point slope form : y - y1 = m( x- x1 )
You can pick either of the coordinates and substitute them in
POINT SLOPE FORM EQUATION : y - 8 = -3/10 ( x + 16 )
Answer:

Step-by-step explanation:
For the quadratic equation
the discriminant is defined as

and the quadratic formula for the roots gives us two roots:

and

For the equation
use quadratic formula to find roots:

So,

The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
brainly.com/question/2689696
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