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a_sh-v [17]
3 years ago
6

What is the slope of a line that is parallel to a line with slope of m=-6/5.What is the slope of the line that is perpendicular

to a line with a slope of m=6/5.Explain how you know
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

a) m = -6/5

b) m = -5/6

Step-by-step explanation:

The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.

__

The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.

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To find the sum of 4/10 and 3/100 how must 4/10 be expressed before adding it to 3/100
Zepler [3.9K]

Answer:

It should be expressed as 40/100.

Step-by-step explanation:

The denominators should be equal

3 0
3 years ago
Identify the 42nd term of an arithmetic sequence where a_1=-12 and a_27=66
Wittaler [7]

Answer:

a₄₂ = 107

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂₇ = 66 , then

a₁ + 26d = 66 , that is

- 12 + 26d = 66 ( add 12 to both sides )

26d = 78 ( divide both sides by 26 )

d = 3

Then

a₄₂ = - 16 + (41 × 3) = - 12 + 123 = 111

3 0
3 years ago
Read 2 more answers
√−100 =__ +__i PLEASE ANSWER ASAP
photoshop1234 [79]

Answer:

Hi there!

Your answer is:

0+ 10i!

I takes away the negative. √100 is equal to 10

3 0
3 years ago
Read 2 more answers
Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support C
aleksley [76]

Missing Information:

  • Of the people in the group who support Candidate R, 58 percent are in favor of flat tax
  • Of the people in the group who support Candidate T, 22 are in favor of a flat tax.

Answer:

Total = 26.1\%N + 22

Step-by-step explanation:

Given

R = 45\% --  Percentage of\ R in the total population

Favor\ Flat\ Tax = 58\% in group R

Favor\ Flat\ Tax = 22 in group T

Required

Determine the number of people that supports T

First, the proportion of those that supports flax rate in R needs to be calculated.

Proportion = 45\% * 58\%

Proportion = 26.1\%

So, those that favor flat tax rate in group R are:

Favor\ Flat\ Tax = 26.1\%N

Where N represents the total population.

Total number of people that supports the flax tax rate is gotten by adding  people that support flat tax rate in each group.

Total = Group\ R + Group\ T

Total = 26.1\%N + 22

3 0
3 years ago
A college student borrow $3,000 for 9 months to pay for a semester of school. If the interest is $185.63, find the monthly payme
photoshop1234 [79]

Total interest on the loan = 185.63

Total principal of the loan = 3,000

Total interest + principal = 3,000 + 185.63

Total future value of the loan = 3,185.63

The tenor of the loan = 9  months

Monthly payment = Total future value of loan/ number of months

Monthly payment = 3,185.63/9 = 353.9588

Monthly payment = $353.96 (Rounded to nearest cent)

6 0
3 years ago
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