Answer:
Slope=2
y-intercept=-5
Step-by-step explanation:
This equation is in the form of y=mx+b
m is the slope and b is the y-intercept.
Therefore, the slope is 2 and the y-intercept is -5
Answer:
2 $
Step-by-step explanation:
let the original price be x
price after 10% discount = 3.60$
The original price of 2 pens is 4$
original price of one pen = 4/ 2
<u>= 2 $</u>
Answer:
They each receive 5.40 pounds of hay
Step-by-step explanation:
16 1/5 ÷3 = 5.40 I checked it by multiplying 5.40×3 and I got the same answer so it should be correct!
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x