Answer:
reflections across the x axis and a shift down 3 units
Step-by-step explanation:
y = x^2
The negative sign means it is a reflection across the x axis y = −f(x)
y = -x^2
The subtraction of 3 means we are shifting down 3 units
y = -x^2 -3
Answer:

Step-by-step explanation:
The equation of a line is represented by y=mx+b, where m is the slope and b is the y-intercept. Therefore, plug in the values you stated into the equation.
Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is

We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is


Cancel out common factor.

Therefore, the simplified form of given expression is 3/5.
Answer:
x=78°
y=78°
z=102°
Step-by-step explanation:
x=78°
y=78°
z=180-78=102°
This one is the Law of Sines again.
The Law of Sines relies on the standard labeling of triangle ABC with vertices A, B, and C and respective opposite sides of a, b and c. Then

Here we have A=150 degrees (opposite side a), b= 10 cm and B = 12 degrees. We seek a.
So we need the first equation of the Law of Sines:


