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algol13
2 years ago
9

What is the equation of the line that passes through the point (-6, -2) and has a slope of 1/6?

Mathematics
1 answer:
gladu [14]2 years ago
3 0

Answer:

y=1/6x -1

Step-by-step explanation:

Use point-slope form to convert it to y=mx+b.

y-y1=m(x-x1)

y+2=1/6(x+6)

Distribute and simplify.

y+2=1/6x+1

y=1/6x-1

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Liam has bought 48 feet of fencing that he will use to build a pig pen. List 6 different dimensions he could create for his pen
Reptile [31]
I assume, that this pen is rectangular. 

Look, that  48 = 24 * 2 = 12 * 2 * 2 = 3 * 2 * 2 * 2 * 2
And know choose these numbers and multiply! 

First dimension:  3*2 x 2*2*2 = 6 x 8
Second:   3 x 2*2*2*2 = 3 x 16
Third: 3*2*2 x 2*2 = 12 x 4
Fourth: 3*2*2*2 x 2 = 24 x 2
Fifth: 48 x 1
Sixth dimension cannot be integer. So you can for example save this  as
48 = 3 * 16 = 1.5 * 2 * 16 = 1.5 * 32

Sixth dimension:  1.5  x  32

NOTE: each dimensions are in feet!


6 0
3 years ago
You earn $20.00 per hour at your job. If you get a 10% raise at the end of each year, what will your hourly rate, h, be after 8
lesya [120]
The answer is $42.87

h = C(1 +r)^{t}

We know:
C = $20.00
r = 10% = 10%/100% = 0.1
t = 8 years
h = ?

h = 20 * (1 + 0.1)⁸
h = 20 * (1.1)⁸
h = $42.87
6 0
2 years ago
The first shipping by company charges a fee of $20 to ship a medium box, plus an additional $1 per pound. A second company charg
viktelen [127]

Answer:

Total cost=$25

Step-by-step explanation:

We can derive two expressions as follows;

Total cost for the First shipping company=Medium box charges+total additional charges

where;

Medium box charges=$20

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=1×n=n

replacing;

Total cost for the First shipping company=20+n....equation 1

Total cost for the second shipping company=Medium box charges+total additional charges

where;

Medium box charges=$15

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=2×n=2 n

replacing;

Total cost for the First shipping company=15+2 n....equation 2

Equating equation 1 and equation 2

15+2 n=20+n

2 n-n=20-15

n=5

Replace the value for n in equation 2

Total cost for the First shipping company=15+2 n....equation 2

Total cost=15+(2×5)=$25

7 0
3 years ago
What is the solution for −40 = 10c? <br> A. c = 1 <br> B. C = -1 <br> C. c = -4 <br> D. c = 4
Aleks [24]

Answer:

C. c = -4

Step-by-step explanation:

you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal

-40/10 = c

c = -4

5 0
2 years ago
Which of these points is farthest from the origin?
Anastasy [175]

Answer:

d:-12,0

Step-by-step explanation:

5 0
2 years ago
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