Answer:
y=x-32
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept.
slope=change in y/change in x
=5/5
y=5x+b --> choose a random point
(7,3) ---> 3=5(7)+b=35+b
b= -32
y=x-32
Answer:
25
Step-by-step explanation:
Given the model:
y=−3.5x+400
Number of children in amusement park = y
Temperature = x
On a certain day:
Temperature = 90°F
Number of children in park = 60
Using the model :
The predicted number of children in park when temperature is 90°F would be :
y = - 3.5(90) + 400
y = - 315 + 400
y = 85
Model prediction = 85 children
Actual figure = 60
Residual :
|Actual - predicted | = |60 - 85| = 25 children
Answer:
Step-by-step explanation:
The circumference of a circle with radius 
is given by 
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle 
is equal to 
.
Formulas at a glance:
- Circumference of a circle with radius :
- Length of an arc with central angle :
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting 
into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
Answer:
∠B = 60°
Step-by-step explanation:
They are supplementary angles, which means they add up to 180°.
∠B + ∠A = 180
? + 120 = 180
? = 180 - 120
? = 60°
