Answer:
Yes
Step-by-step explanation:
As long as the slopes of these two lines are not the same, they will intersect.
Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.
Slope of 1st line:
Slope of 2nd line:
The slopes are not equal, therefore the lines intersect.
To plot more the points, we move up one and right two.
<h3>How to plot more the points?</h3>The ratios are given as:
(1, 0.5), (2, 1), and (5, 2.5)
Calculate the slope (m) using:
So, we have:
Evaluate
This gives
The above means
Vertical : Horizontal = 1 : 2
This means a vertical movement of 1, followed by an horizontal movement of 1
Hence, to plot more the points, we move up one and right two.
Read more about equivalent ratios at:
#SPJ1
Complete question
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points?
Answer:
see explanation
Step-by-step explanation:
Given
9 - 225
← factor out 9 from each term
= 9( - 25
) ← difference of squares
Difference of squares factors in general as
a² - b² = (a - b)(a + b)
= (x² )² ⇒ a = x²
25 = (5
)² ⇒ b = 5
Hence
- 25
= ( -5
)(
+ 5
)
Thus
9 - 225
= 9 ( - 5
)(
+ 5
)