The transformed points of the triangle ABC are $A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$ , $B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$ , $C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

$A' (x,y) = \frac{1}{2}\cdot (1,1)$

$A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$

$B' (x,y) = \frac{1}{2}\cdot (9,1)$

$B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$

$C'(x,y) = \frac{1}{2}\cdot (1,9)$

$C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

7 0

3 years ago

How do you use a strategy of 30%of 900?

Julli [10]

Answer: 2 7 0

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 30% of the output value, so we can write it down as x=30%.

5. Now we have two simple equations:

1) 900=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 900

900/x=100/30

(900/x)*x=(100/30)*x - we multiply both sides of the equation by x

900=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x

900/3.33333333333=x

270=x

x=270

now we have:

30% of 900=270

3 0

3 years ago

Maya is comparing ride-sharing company prices. Company M charges $1.75 per mile driven and a one-time trip fee of $5. Company N

BabaBlast [244]

Answer:

1.75x+5<2.5x+3

Step-by-step explanation:

4 0

3 years ago