2 #'s whose sum is 51: x + y = 51
2 #'s whose difference is 13: x - y = 13
add the 2 equations: 2x = 64 ⇒ x = 32
using either equation find y: 32 + y = 51 ⇒ y = 19
Answer the 2 #'s are 32 and 19
Answer:
3 1/3 cups total
Step-by-step explanation:
Add together 2 1/8 cups and 1 5/24 cups. The LCD here is 24, and so we rewrite 2 1/8 cups as 2 3/24 cups.
Adding 2 3/24 cups and 1 5/24 cups, we get 3 8/24 cups,
which simplifies to 3 1/3 cups total
Answer:
y = 4x
Step-by-step explanation:
We need to look at where the line's dots are to find the slope. Between each dot the line goes 1 to the right and 4 up. Remember the saying rise over run to know that the slop is 4/1. 4/1 is just 4 so in the equation we put that next to x.
The next part of making an equation is the y-intercept, or where it crosses the y-axis. Since this hits the y-axis at 0 the complete equation will be
y = 4x + 0
but obviously we don't need to add 0 so the answer is
y = 4x
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
