Answer:
just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1
Steps to solve:
-6w - 8 + 15w = 2w - 8 + 7w
~Combine like terms
9w - 8 = 9w - 8
~Add 8 to both sides
9w = 9w
~Divide 9 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
Best of Luck!
Answer:
Alright, the answer to the equation -52+3= -49
Step-by-step explanation:
I don't know how the heck Marcus and Jeremy got -22 and 28 but both are wrong. If there were a picture so I could see their work, I would be able to figure it out.
Anyways, The math is:
-52 + 3 which is pretty much 52-3 and then the answer has a negative sign.
-52 goes up 3 because technically the negative sign is down. Counting up 3 from 52 equals -49.
Answer:
The area of the shaded region= 37.68
Step-by-step explanation:
Area of the outer circle= 2* 3.14* 36 (Area of the circle=2
r)
=113.04
Area of the inner circle=2*3.14* 12
=75.36
Area of the shaded region= Area of the outer circle- Area of the inner circle
= 113.04- 75.36
=37.68
Answer:
Step-by-step explanation:
First, let's check side lengths.
Using the Pythagorean theorem we can find the length of the other side of the rectangle.
a^2 + b^2 = c^2
4.2^2 + b^2 = 8.6^2
b^2 = 56.32
b = 7.5
The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.
For the angle in question, the 4.2 cm side is the adjacent leg.
The diagonal of 8.6 cm is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
