Answer:
35 cm
Step-by-step explanation:
To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:
(4+4)*5.75*1/2=<u>23</u>
Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:
2*2*1/2=2
But since there's two identical triangles on either side, we can multiply that by two, which would bring it to <u>4.</u>
That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:
4*2=<u>8</u>
Now, to find the total area, all you have to do is add up the areas of the different sections:
23+4+8=35 cm
Hope this helps!
8x = -104 (I like to flip mine around like this, but it doesn't matter).
Now, you subtract 8 from both sides because you are doing the inverse.
-104 - 8 = -112
x=-112
Hope this helps!
Have a nice day!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let 
denotes number of pencils, markers, erasers respectively.
For Andrea:
For Justin:
For Virginia:
On subtracting equations (i) and (ii), we get
Put 
in equation (i)
Put in equation (iii)
Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.
Put 
in equation
Put 
in equation (i)
Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
