Answer:
y = -0.5
Step-by-step explanation:
given
5x – 7y = 7 ------- eq 1
y = -5x + 3 (we rearrange this so that the terms are in the same order as eq 1)
-5x – y = -3 ----- eq 2
by elimination, eq 1 + eq 2
(5x – 7y) + (-5x – y) = 7 + (-3)
5x - 7y -5x - y = 7-3
-8y = 4
y = 4/(-8)
y = -0.5
Answer:
1. p=54
2. -2n - 14
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
Multiply by 1
Subtract
7 from both sides of the equation
2. not quiet sure so sorry if you get it wrong
Let's review "similar" and "congruent." "Congruent" means the same--so two congruent line segments will be the same length; two congruent figures have the same angle measures, same side lengths, same area, etc. "Similar" means that the sides and area are PROPORTIONAL, not the same: you can divide or multiply them all by the same number and get the measures of the other. Note that the angles must still be the same measures.
So, let's look at A, first comparing AB and CD. AB is 4 units long, and CD is 2 units long. 4/2=2, so AB is twice the length of CD. What about BC and DE? BC=6, and DE=3. 6/3=2. Since BOTH AB and BC are twice the length of CD and DE, they are proportional. A is correct!
In B, if side AC has the same slope as side CE, then basically they have the same incline. They are on the same line, and this line has a slope. Since they are both on this line, they both must have the same slope as this line, and therefore the same slope as each other. B is correct.
What about C? Are the triangles congruent? NO, because their side lengths are different (though proportional). C is incorrect. And D? Just looking at the diagram, we can tell that AC is not the same length as DE, so they are NOT congruent (though again, they are proportional). D is incorrect.
Answer: A, B
Answer:
speed of car A =Speed of car B=0.8 miles/minutes.
Step-by-step explanation:
We are given that speed of car A is equal to speed of car B.
Also let car A travels x miles.
and car B travels y miles.
Car A reaches its destination in 17 minutes.
this means that speed of car A is given by: 
miles/minutes ( since speed is defined as the ratio of distance and time).
Car B reaches its destination in 32 minutes.
This means that the speed of car B is given by: 
miles/minutes
as speed of both cars are equal this means:
------(1)
Also we are given Car B travels 12 miles farther than Car A.
this means 
------(2)
on using equation (1) and (2) we have:
Hence the speed of car A is 0.8 miles/minutes ( since x/17 is the speed of car A)
Speed of car B=0.8 miles/minutes.
Answer:
1/2
Step-by-step explanation:
the rate of change is = the change in y/ the change in x
if the points are (2, 11) and (8, 14)
Rate of change = (14-11) / (8-2) = 3 / 6 = 1/2
