WHAT IS THE CORRECT SCALE FACTOR?
1 answer:
Answer:
3/7
Step-by-step explanation:
To find the scale factor we have to compare the initial points to the final points, we can do this by observing only one corner of the triangle, as it will apply to the entire triangle.
<u><em>Let's look at C and C'</em></u>
The coordinates of C are (7,-7)
The coordinates of C' are (3,-3)
<u><em>To make things simpler let's find the relationship between our x-coordinates, then test it on our y-coordinates</em></u>
We essentially have to find what 7 is multiplied by to get 3, we'll make an equation
7x=3
Solve for x by dividing both sides by 7
x=3/7 <------- This shows that our scale factor in this case is 3/7
<em><u>Now we will test this on our y-coordinates</u></em>
-7(3/7)=-3
=-3?
The 7's on the top and bottom simplify to -1
-1(3)=-3?
-3=-3 <------- This is true! So we know this is our scale factor for the entire triangle
Hope I could help!
<em> -Kaylyn</em>
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Answer:
36
Step-by-step explanation:
Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?
Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)
∴ if number is reversed then resulting number be "10x+y".
As given: x= 2y
and
Now, solving the equation to get original number.
Distributing 2 to 10y and x, then opening the parenthesis.
⇒
subtracting by (2x+y) on both side.
⇒
subtituting the value of "x", which is equal to 2y.
∴
⇒
subtracting both side by (16y-9)
⇒
cross multiplying
We get,
y=3
∵x= 2y
∴ x= 6
Therefore, the original number will be 36 as x is the unit number and y as tenth number.