Step-by-step explanation:
Slope intercept form of an equation is written as;
y=mx+b where m is the slope of the line and b is the y-intercept
Given points (3,19) and (8,42) find m as;
m=Δy/Δx
Δy=42-19=23
Δx=8-3=5
m=23/5
Finding the equation of the line where m=23/5, point (3,19) and (x,y)
m=Δy/Δx
23/5=y-19/x-3
cross product
23(x-3) = 5(y-19)
23x-69=5y-95
23x=5y-95+69
23x=5y-26
23x+26=5y
23x/5 +26/5 =5y/5
23/5 x +26/5 =y
⇒⇒ y=23/5x +26/5
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Slope-intercept form of an equation :brainly.com/question/12005129
Keywords :scatter plot, data, years, line of fit, points
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5x$12=$60 (spent on scarves)
2x5=10 (no of scarves in all)
$125-$60=$65 (total spent on scarves)
$65÷10=$6.50
Ans: $6.50
We have
<span>Va(airplane)=150
East</span>
Vw(wind)=7.1
South East
<span>
</span><span>resulting vector R</span>
airplane
Vax=150 Vay=0 it only has component x
WindVwx=7.1*cos45=5.02
Vwy=7.1*sin45=-5.02
is negative because is South direction
|R|=(Rx^2+Ry^2) ^0.5
Rx=150+5.02=155.02
Ry=0-5.02=-5.02
<span>|R|=155.10
miles/hour South East</span>
Determine angle θ
Rx=R*cos(θ)
<span>Cos(θ)=Rx/R</span>
<span>Cos(θ)=155.02/155.10=0.9995</span>
θ =arc cos Rx/R
θ =1.8119 º
Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater
Ry represents the component in the South direction of the resulting force
Its contribution is exclusive of the wind since the airplane has no component
in this direction
|R| the force resulting from the combined action of the force of the plane and the force of the wind
θ represents the angle that forms the resultant force with respect to the x axis or east direction
Answer: y = 7
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We have to represent the fraction 
in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore, 
Therefore, 
is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore, 
Therefore, 
is the second way to represent the given fraction.
Therefore, and are the different ways to represent the fraction .
