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2 years ago

What is the equation of a line that passes through (1,5) and (3,11)? Show work please.

1 answer:

3 0

First, find the gradient/slope:
Use slope formula:
m=(y2-y1)/(x2-x1)
=(11-5)/(3-1)
=6/2
=3
Then use the line equation formula:
y=mx+c
You can substitute (1,5) if you like, also must substitute the slope as well!
5=3x1+c
c=2
Then find the full equation, which gives you the answer:
y=3x+2

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BaLLatris [955]

Answer:

Step-by-step explanation:

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3 years ago

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months worth in an emergency fund. How mu

Leviafan [203]

Answer:

$3753.79

Step-by-step explanation:

To find your emergency fund, you need to get your fixed expenses as the base.

Fixed Expenses = $2085.44 x 0.30

Fixed Expenses = $625.63

Now you need to take your Fixed Expenses and multiply that to the number of months you want to save for.

$625.63 x 6 = $3753.79

So you will need to save $3753.79 for 6 months worth of an emergency fund.

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3 years ago

Read 2 more answers

A physical education teacher plans to divide the seventh graders at Wilson Middle School into teams of equal size of year-ending

Crank

Step-by-step explanation:

Consider the provided information.

The total number of students are: 24+26+21=71

He wants each team will have the same number of students between 5 and 9.

The number between 5 to 9 are 6, 7 and 8.

The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.

Dividing 6 students in each group.

Number of teams: $\frac{71}{6}$ = 11 teams and 5 students.

Dividing 7 students in each group.

Number of teams: $\frac{71}{7}$ = 10 teams and 1 students.

Dividing 8 students in each group.

Number of teams: $\frac{71}{8}$ = 8 teams and 7 students.

Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.

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3 years ago

30 sweets are shared between 2 groups in the ratio 3:7. How many sweets are in each group?

jolli1 [7]

Answer:

See explanation below

Step-by-step explanation:

Given the ratio between two groups to be 3:7

Total ratio = 3+7 = 10

Total sweet shared = 30sweets

For the group with ratio of 3;

Share = 3/10×30

Share = 3×3

Share = 9 sweet

For the group with ratio of 5

This share = 7/10×30

This share = 7×3

This share = 21sweet

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2 years ago

Find the value of x in 5rasised to power x=125

mestny [16]

5^3=125
Hope this helps

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2 years ago

Read 2 more answers