To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
Answer:
Unitary cost= $80
Step-by-step explanation:
Giving the following information:
Total manufacturing cost= $40,000
Number of units= 500
<u>To calculate the unitary cost, we need to use the following formula:</u>
Unitary cost= Total manufacturing cost / number of units
Unitary cost= 40,000 / 500
Unitary cost= $80
Alrighty.
First we need to make them all simplified.
So simplified would be
times
times
.
Then we multiply the numerator and the denominator. The final answer is
Simplified is
Answer:
The measure of angle BAC is 20°
Step-by-step explanation:
step 1
Find the measure of arc BC
we have that
m∠BOC=arc BC ------> by central angle
we have
m∠BOC=40°
therefore
arc BC=40°
step 2
Find the measure of angle BAC
we know that
The inscribed angle is half that of the arc it comprises
so
m∠BAC=(1/2)[arc BC]
we have
arc BC=40°
substitute
m∠BAC=(1/2)[40°]
=20°
Answer:
Step-by-step explanation:
I hope it will help you
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