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RUDIKE [14]
3 years ago
8

Write the equation of a line that is perpendicular to 6x - 3y - 15 = 0 and goes through the point (4, 6) in y-intercept form.

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

Answer:

y= -1/2(x) +8

gradient= -1/2

Intercept= 8

Step-by-step explanation:

Let's transform the equation to y -intercept form first

6x - 3y - 15= 0

-3y= -6x+15

Y= -6/-3(x) +(15/-3)

Y= 2x -5

Intercept c= -5

Gradient m =2

Rule of perpendicularity

mm'= -1

m'= -1/m

m' = -1/2

Equation of line of the point (4, 6)

(Y-Y1)/(x-x1)=m'

(Y-6)/(x-4)= -1/2

2(y-6)= -1(x-4)

2y -12 = -x +4

2y= -x +4+12

2y= -x+16

y= -1/2(x) +8

gradient= -1/2

Intercept= 8

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3 years ago
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a grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 5 apples. each apple above the first level
g100num [7]

The arrangement of the apples in the stack is in a sequence that can be

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Correct response:

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<h3>How to find the sum of a sequence</h3>

The given parameters are;

Dimensions of apples in the rectangular base = 7 apples by 5 apples

Number of apples on which each apple above rests = 4 apples

Required:

The number of apples in the stack.

Solution:

The dimensions, length and width of the apples in each row decreases

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In the base, the dimension = 7 by 5

In the row directly above, the dimension = (7 - 1) by (5 - 1)

The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;

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2 years ago
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2 years ago
What is 75% of 180?​
OverLord2011 [107]

Hello There!

75% of 180 is 135.

Converting Percent To Decimal.

p = 75%/100 = 0.75

Y = 0.75 * 180

Y = 135

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A grocer takes a delivery of beverages from your truck at $6 per case. You unloaded 53 cases for the grocer today. How much does
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Step-by-step explanation:

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