Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
<u>difference between y values (output)</u>
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
<u>difference between x values (input)</u>
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values
3 hours
On the way there, 1.5x12 = 18
On the way back, 1.5x10 = 15
Hi there!
The answer would be A. m = 45h
Hope this helps
Answer:
There are 80 marks in total.
Step-by-step explanation:
Let the number of total marks be 
.
The percentage score of the student can be written as the ratio
.
However,
.
Equating the two:
.
Cross-multiply (that is: multiple both sides by 
, the product of the two denominators) to get
.
.
In other words, there are 80 marks in total.
