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Artemon [7]
3 years ago
11

Find the equation of the line between (-7,4) and (5,9) in slope intercept form

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Step-by-step explanation:

(9-4)/(5+7)= 5/12

y - 4 = 5/12(x + 7)

y - 48/12 = (5/12)x + 35/12

y = (5/12)x + 83/12

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Larry and Curly can build a bookcase together in $2$ hours. Curly and Moe can build a bookcase together in $1 \frac{2}{3}$ hours
aleksandrvk [35]

Answer:

1 ¹/₉ hours

Step-by-step explanation:

Let's say L is Larry's speed, C is Curly's speed, and M is Moe's speed.

1 = 2 (L + C)

1 = 1 ⅔ (C + M)

1 = 1 (L + C + M)

Solve the system of equations.  First, simplify the equations:

1 = 2L + 2C

3 = 5C + 5M

1 = L + C + M

Double the third equation and subtract the first equation from it:

2 = 2L + 2C + 2M

1 = 2L + 2C

1 = 2M

M = 1/2

Plugging into the second and third equations, we get:

C = 1/10

L = 2/5

Therefore, the time it takes Larry and Moe together is:

1 = t (L + M)

t = 1 / (L + M)

t = 1 / (2/5 + 1/2)

t = 1 / (4/10 + 5/10)

t = 1 / (9/10)

t = 10/9

t = 1 ¹/₉ hours

It takes them 1 ¹/₉ hours, or 1 hour 6 minutes 40 seconds.

4 0
3 years ago
Solve the equation and justify each step.<br> 8.2 - 9 = 7x + 6 - 2x
Snezhnost [94]

Answer:

x = 5

Step-by-step explanation:

8x-9=7x+6-2x

We move all terms to the left:

8x-9-(7x+6-2x)=0

We add all the numbers together, and all the variables

8x-(5x+6)-9=0

We get rid of parentheses

8x-5x-6-9=0

We add all the numbers together, and all the variables

3x-15=0

We move all terms containing x to the left, all other terms to the right

3x=15

x=15/3

x = 5

8 0
3 years ago
Find the value of x for this trapezoid.
Lisa [10]
You just add up all of the sides to find the x
4 0
3 years ago
Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.
DochEvi [55]

Answer:

Q= 126°

Step-by-step explanation:

Using the picture given, because these are parallel lines broken by a transversal, we can say the following

M=A=Q=F

B=C=D=G

Since, for example, M and C are the same line, we can say that M+C=180 and so on.

M=Q

Q= 126°

5 0
3 years ago
Ok last question for today <br> Will mark brainliest
Pepsi [2]

Answer:9


Step-by-step explanation:

8 * 9 = 72

8, 16, 24, 32, 40, 48, 56, 64, 72

1, 2, 3, 4, 5, 6, 7, 8, 9

3 0
4 years ago
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