Answer:
Step-by-step explanation:
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Good evening ,
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Look at the photo below for the answer.
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She will use 42 purple beads.
Explanation
We will use a proportion to solve this.
The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.
Together, we have
4/3 = 56/x
Cross multiply:
4*x = 3*56
4x = 168
Divide both sides by 4:
4x/4 = 168/4
x = 42
Answer:
y=x-2
Step-by-step explanation:
If you have drawn the graph of
.
To determine the equation of the line which should be drawn to solve the equation: x² - 4x +3=0
Simply carry out the subtraction: 

The equation of the line which should be drawn is: y=x-2
What this means is simply:
If

Given:
Slope of line F = 
Slope of line G = 
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F = 
= 
Slope of line G = 
= 
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.