Answer:
Step-by-step explanation:
Let use the following trigonometric identities:
Then, the equation is simplified by substituting its components:
Multiple the numerator and the denominator by the same whole number for example 3:4 x 5 = 15:20
Answer:
ok
Step-by-step explanation:
ok
Answer:
Option B
x ≥ (-5)
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
So,
-3(x + 4) ≥ x + 8
-3x – 12 ≥ x + 8
Add both sides 12 we get,
-3x – 12 + 12 ≥ x + 8 + 12
-3x ≥ x + 20
Similarly, subtract x from both sides we get,
-3x – x ≥ x – x + 20
-4x ≥ 20
Then, divide both sides by (-4) we get,
-4x/(-4) ≥ 20/(-4)
x ≥ -5
Thus, The answer is x ≥ (-5).
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
