Step-by-step explanation:
y=-3+5x
substitute y into equation 2
3x-8y=24
3x-8(-3+5x)=24
3x+24-40x=24
x=0
y=-3+5(0)
y=-3
(x,y)=(0,3)
One way to solve this is to use Pythagorean theorem: the square of one leg of triangle plus square of other leg of the triangle equals c the hypotenuse (longest side of triangle). You might see this as the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
In this case, the legs are 3√2 and the hypotenuse is h.
Using the formula:
(3√2)² + (3√2)² = h²
18 + 18 = h²
h = 6
The other way to do this is with trigonometric angles.
Remember cosine is adjacent over hypotenuse.
cos(45°) = (3√2) / h
h = (3√2) / cos(45°)
h = 6
x=0 or x=4
just factorize basically
cancels the x’s so it’d be 3x-12=0 and from that x=4
Answer:
Step-by-step explanation:
There are two operations involved:
Vertical translation:
(1)
Note: Positive sign represent a translation upwards.
Horizontal translation:
(2)
Note: Positive sign represent a translation leftwards.
Then, the new function must be:
