1.6 % of 43.75 is 70
Because 70/43.75 is 1.6
Given : f(x)= 3|x-2| -5
f(x) is translated 3 units down and 4 units to the left
If any function is translated down then we subtract the units at the end
If any function is translated left then we add the units with x inside the absolute sign
f(x)= 3|x-2| -5
f(x) is translated 3 units down
subtract 3 at the end, so f(x) becomes
f(x)= 3|x-2| -5 -3
f(x) is translated 4 units to the left
Add 4 with x inside the absolute sign, f(x) becomes
f(x)= 3|x-2 + 4| -5 -3
We simplify it and replace f(x) by g(x)
g(x) = 3|x + 2| - 8
a= 3, h = -2 , k = -8
Answer:
c = 64
Step-by-step explanation:
Given
x² - 16x + c
To complete the square
add ( half the coefficient of the x- term )² to x² - 16x
x² + 2(- 8)x + 64
= (x - 8)²
Thus
x² - 16x + 64 = (x - 8)² ← a perfect square
with c = 64
Answer:
A) By using the Pythagorean Theorem, we will see that 
. If we simplify it, we will find that the hypotenuse of Δ
B) approximately 
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is 
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, 
.
≈
Hope you do well on the rest of your math problems :D
Answer:
y = -3x + 18
Step-by-step explanation:
y = mx + b
m = -3
6 = (-3) * 4 +b
b = 6 - (-3) * 4
b = 6 +12
b = 18
y = -3x + 18
