Answer:
key features are the slopes of both linear functions, if they are not equal then the two linear functions will be intercepted
Step-by-step explanation:
Any linear function can be represented by the following linear equation:
y=mx+b
where m is the slope of function
and y in the intercept
Given:
The SneakerRama Company makes and sells sneakers.
They have one linear function that represents the cost of producing sneakers
Let it be represented by y₁=m₁x+b₁
and another linear function that models how much income they get from those sneakers
Let it be represented by y₂=m₂x+b₂
Now if m₁≠m₂
then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.
y₂-y₁=0
This point is called the break-even point and the profit is zero at this point !
Answer:
Chris still owes Kate $18
Answer:
Step-by-step explanation:
32
Step 1 : Draw PQ = 6cm
Step 2 : Construct 60 degree at Q. [Given PQR = 60=> Q = 60 ]
Step 3 : Take 5 cm on compass and mark 5cm on the 60 degree
line constructed at Q.
Step 4 : The arc of 5cm and 60 degree line meets is the point R.
[Given QR = 5cm ]
Step 5 : Given PQ || SR so construct a 120° at R ,
because ∠PQR and ∠QRS are supplementary angle.
[ ∠PQR + ∠QRS = 60 + 120 = 180° ]
Step 6 : At P , take 6.5 cm on compass and mark on the line drawn in
Step 5, to get S. [ Given PS = 6.5 ]
33
Given adjacent sides : 4.8 and 4.2
And it is a rectangle.
Step 1 : construct AB = 4.8 cm
Step 2 :At A and B construct 90 degree
Step 3: On the compass take 4.2cm and mark on the 90degree lines
from A and B.
Step 4 : Mark that as C and D respectively.
Step 5 : Join CD
Answer:
Height of tree is
<em>15 m.</em>
<em></em>
Step-by-step explanation:
Given that student is 20 m away from the foot of tree.
and table is 1.5 m above the ground.
The angle of elevation is: 34°28'
Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.
AB = CP = 20 m
CA = PB = 1.5 m
= 34°28' = 34.46°
To find TB = ?
we can use trigonometric function tangent to find TP in right angled 

Now, adding PB to TP will give us the height of tree, TB
Now, height of tree TB = TP + PB
TB = 13.72 + 1.5 = 15.22
<em>15 m</em>