1) The given equation is 3x-3y=15
To solve for y we subtract 3x both sides:
3x-3x-3y=-3x+15
-3y=-3x+15
With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:
y=x-5
Option A :y=x-5 is the right answer.
2) |2x-1|=3
We can remove the absolute sign by forming equations taking both the positive and negative signs:
2x-1=3 or 2x-1=-3
Solving the two equations for x:
2x=3+1 or 2x=-3+1
2x=4 ,x=2. 2x=-2 , x=-1 .
Option a)x=2 or x=-1 is the right answer.
3) 2< 3x-1 ≤ 5
Adding 1 to all the sides we have:
3<3x≤ 6
Dividing by 3 :
1<x≤ 2.
Answer:
the 2x and 1/2x are the slope.(rise over run)
the +2 and -1 are intercepts on the y axis
Step-by-step explanation:
A) (x, y) → (3x, 3y)
<h2>
Explanation:</h2>
When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:
- If k > 1, the object will be larger than the original one.
- If k < 1, the object will be smaller than the original one.
If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.
The only option that meets this requirement is:
A) (x, y) → (3x, 3y)
Whose scale factor is k = 3 making the dilated figure larger than the original one.
<h2>Learn more:</h2>
Dilation: brainly.com/question/10946046
#LearnWithBrainly
Answer:
800%
Step-by-step explanation:
<h2><u>Percentage increase</u></h2><h3><u>formula:</u></h3>
change/ original * 100
change is 1.35 - 0.15 = 1.2
original is the amount in the beginning which is 0.15
= 1.2/0.15 * 100
=800 %
<em><u>the percentage increase is by 800%</u></em>
Cosine(angle) = adjacent leg/ hypotenuse
Cosine( angle ) = 18/20
Angle = arccos(18/20)
Angle = 26 degrees
