Add them up and you have your answer
Answer:
Yes they can all be written in y = mx + b. You just have to move the terms around.
Step-by-step explanation:
y = 2x -3, this is already in slope-intercept form
Now, y - 2 = x + 2: We can add 2 on both sides to cancel out the one on the left side:
y - 2 = x + 2
y - 2 + 2 = x + + 2
y = x + 4 <-- This is in y = mx + b form
Now the last one, 3x = 9 + 3y
We can first divide all terms by 3,
3x = 9 + 3y
/3 /3 /3
x = 3 + y: Then we can subtract 3 from both sides:
x - 3 = 3 + y - 3
x - 3 = y
These are all linear equations because none of the x's have bigger powers than 1. x^2 is a quadratic equation and x^3 is cubic equation.
Answer:
(2.54×12) ×5280
Step-by-step explanation:
Since there are 2.54cm in an inch, multiply 2.54 by 12 to find out how many cm there are in a foot. Then you multiply that by 5280
Answer 6 hours
Reason
7x + 9.50 = 55
-9.50. -9.50 subtract from both sides
_____________
7x = 45.50
Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)
Answer:
Yes they are similar.
There are three similarity criteria for triangles.
The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.
The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.
The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.
About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.
Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.
And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!