Answer:
Imagine the function y = absolute value(x). It looks like the English letter "V". The bottom of our V (i.e f(x) touches the x-axis when x = 6, so the "V" graph has been translated 6 units to the right of the origin. But when x = 6 the value of f(x) is 0-4 = -4 so the tip of the V is located 4 units below the x axis. Summary: g(x) looks like the absolute value function but is translated 6 units to the right of the origin and 4 units down
Step-by-step explanation:
9514 1404 393
Answer:
(b) 62°
Step-by-step explanation:
Let x represent the measure of the angle.
The complement is (90 -x).
The supplement is (180 -x).
The relationship between the supplement and the complement is ...
(180 -x) = 6 +4(90 -x)
180 -x = 6 +360 -4x
3x = 186
x = 62
The measure of the angle is 62°.
A1 = -7, an = 4(an - 1)
a2 = 4a1 = 4(-7) = -28
a3 = 4a2 = 4(-28) = -112
Therefore, the first six terms are -28, -112, -448, -1792, -7168, -28,672
Answer:
2(w-8) +2w=52
its perimeter so u multiply everything by 2 and since u dont know the length but know its 8 less u subtract by width
Let's set up some equations.
We know that 7/8 of a liter fills up our bottle 5/6 of the way. Thus 7/8=5/6 * b.
Now, let's divide both sides by 5/6 to get b = 21/20. However, none of the answer choices provided are correct. Let's look at each one to determine why it's not correct.
A. This answer is false because 35/48 < 7/8. If 7/8 of a liter doesn't completely fill up the bottle, there is no way that a value less than 7/8 can fill up the bottle - it's impossible.
B. Same case as answer A, but 11/38 instead of 35/48.
C. Same case as answer A, but 11/20 instead of 35/48.
D. This answer however is more than 35/48, so is it correct? No. 113/35 is just over 3. Since 7/8 of a liter almost fills the bottle but does not quite completely fill it, there is no way that adding 2 more liters can fill up the bottle just the tiny 1/6 of the way. That is disproportional and is thus wrong.
