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netineya [11]
2 years ago
8

Write the equation of the line perpendicular to y =5/6x+1/6 that passes through the point (-9,3)

Mathematics
1 answer:
tiny-mole [99]2 years ago
7 0

Answer:

y = -6/5x + 13 4/5

Step-by-step explanation:

Step 1: Perpendicular slope

We need to find the perpendicular slope, or the opposite reciprocal.

This means we change the sign (positive, negative)and flip the numbers

Perpendicular sope to 5/6x = -5/6x = -6/5x

Step 2: Plug in coordinates

Now we plug in the coordinates for y = -6/5x + b

3 = -6/5(9) + b

3 = -10.8 + b

b = 13.8 or 13 4/5

-Chetan K

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About \frac{3}{8}3 8 of the business calls that Ms. Rodriguez makes are long distance calls. How many business calls would you e
Elena L [17]

\frac{3}{8}x = 32

multiply both sides by the reciprocal

x = 85⅓

We would expect her to make about 85 business calls in a month.

Step-by-step explanation:

The equation means "3/8 of the unknown total is 32"

When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.

8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.

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I hope I read this question correctly. The coding for the fraction made it a bit confusing.

6 0
3 years ago
Suppose that the consumer price index​ (CPI), which measures the cost of a typical package of consumer​ goods, stood at 113.5 in
notka56 [123]

Answer:

Equation: y=2x+113.5

CPI in 1992 and 2001 are 117.5 and 135.5 respectively.

Step-by-step explanation:

Let x equal 0 correspond to​ 1990.

The cost of a typical package of consumer​ goods, stood at 113.5 in 1990 and 133.5 in 2000.

It is given that the data can be modeled by a straight. So, the line passes through (0,113.5) and (10,133.5).

The equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-113.5=\dfrac{133.5-113.5}{10-0}(x-0)

y-113.5=2(x)

y=2x+113.5            .... (1)

Therefore, the best liner equation that models the CPI is y=2x+113.5.

Note: The given options are incorrect.

We need to estimate the CPI in 1992 and 2001.

Substitute x=2 in equation (1), to find the CPI in 1992.

y=2(2)+113.5=117.5

Substitute x=11 in equation (1), to find the CPI in 2001.

y=2(11)+113.5=135.5

Therefore, the CPI in 1992 and 2001 are 117.5 and 135.5 respectively.

8 0
3 years ago
Solve for x in each triangle​
Ad libitum [116K]

for number 3 the x would be 7 and for number 4 the x would be 4

4 0
3 years ago
Read 2 more answers
In a survey one-forth like cake only and 20 didn't like cake at all. Also 50% children like ice cream but 12 like none of them.H
Rudiy27

Answer:

2

Step-by-step explanation:

Let x represent the total number of people. Let C represent those that like cake and let I represent those that like ice cream. Given:

C = (1/4)x = 0.25x, I = 0.5x, (C ∪ I)' = 12, C' = 20

Therefore:

C ∩ I' = C' - (C ∪ I)' = 20 - 12 = 8

C ∩ I = C - C ∩ I' = 0.25x - 8

C' ∩ I = I - C ∩ I = 0.5x - (0.25x - 8) = 0.25x + 8

The total students = (C ∩ I) + (C' ∩ I) + (C ∩ I') + (C ∪ I)'

x = 0.25x - 8 + 0.25x + 8 + 8 + 12

x = 0.5x + 8 + 12

x = 0.5x + 20

0.5x = 20

x = 40

Students that liked both = C ∩ I = 0.25(40) - 8 = 2

4 0
2 years ago
9(-9p+4)^-1+2p^-2-4(-9p^2+4p)
tatyana61 [14]

Answer

912pn


Thats what I got for this answer
8 0
3 years ago
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