Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original
C'D' = 6 and CD = 3 then
scale factor = = 2
Dane is 10 times Brian's age. The difference in their age is 27, how old is Brian
2 answers:
Answer:
Brain is 3 years old.
Step-by-step explanation:
Let B represent Brain's age and D represent Dane's age.
We have been given that Dane is 10 times Brian's age. We can represent this information in an equation as:
We are also told that the difference in their age is 27. We can represent this information in an equation as:
Upon substituting equation (1) i equation (2), we will get:
Therefore, Brain is 3 years old.
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Answer:
y = -x + 7
Step-by-step explanation:
Hi there!
We are given the following points:
(5,2) and (10,-3)
We want to find the equation of the line that passes through these 2 points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).
First, let's find the slope of the line.
The slope can be calculated from 2 points using the equation , where
and
are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
Now substitute these values into the formula to find the slope
m=
m=
Simplify
m=
Divide
m=-1
The slope of the line is -1
We can substitute this value as m in y=mx+b.
Here's the equation of our line so far:
y=-x+b
Now we need to find b
As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b
Taking (5,2) for example:
Substitute 5 as x and 2 as y
2=-5+b
Add 5 to both sides
7=b
Substitute 7 as b in the equation
y = -x + 7
Hope this helps!
See more on this topic here: brainly.com/question/27166723