Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c
Thus the equation of the line is 
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 
When x=3, y=3,
Thus the equation of the line is 
.
Answer:
c. Multiple zero is 3; multiplicity is 2
Step-by-step explanation:
The factor is repeated, that is, the factor (
x − 3
) appears twice. The number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity. The zero associated with this factor, x = 3
, has multiplicity 2 because the factor (
x − 3
) occurs twice.
Then
Multiple zero is 3; multiplicity is 2.
The formula to find the area of a circle is pi x radius^2.
pi = 3.14 (in this case)
radius = 6
6^2 (6 x 6) = 36
36 x 3.14 (radius^2 x pi) = 113.04
So, the area of a circle with radius 6 cm is 113.04 cm.
The amount that you should be willing to rent an additional oven when the order size is 1 dozen cookies is the amount that is less than the profit of producing those cookies.
<h3 /><h3>What amount should be paid to rent an additional oven?</h3>
The dozen cookies that Kristen’s Cookie Company are about to make are an additional order which means that they do not have the ovens to make it.
They will therefore have to rent an additional oven. If they did this, the amount they pay for the additional oven should not give them losses. They should therefore rent the oven at a cost that is less than the profit they will get for the additional 1 dozen cookies.
Find out more on accepting additional orders at brainly.com/question/25811981.
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Answer:
Step-by-step explanation:
Equation of straight line is given as
where slope m is calculated as
<u>Here </u>
<u>Equation of line that passes through the points (1,6) and (5,2)</u>
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