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Montano1993 [528]
3 years ago
13

Write the standard form of the equation of the line through the given point with given slope

Mathematics
1 answer:
Lunna [17]3 years ago
6 0
75) y=mx+b. plug in slope and point
2=(3/2)(1)+b
2=(3/2)+b. solve for b
b=1/2. plug back into original question
y=(3/2)x+(1/2) multiply by 2 to get rid of fraction
(y=(3/2)x+(1/2))*2.
2y=3x+1. subtract over the 3x
-3x+2y=1
Same would be done with the other 4 problems.
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Arc is 41 and angle is 40. I have no other given information but I have to find x
tiny-mole [99]

First of all I want to point out you drew the diagram a little wrong. The Arc is 41 doesn't mean its 41 degrees it means it has length 41 so remove the degrees symbol.

Now for the answer the other arc have to have angle 40 too because vertical angles. And because the radius is the same, both of the length has formula 40/360*pi*2*radius which is 41 in this case. So x has to be 41 also :) Done!

7 0
2 years ago
Find the slope of the line for the points (-3, 6) and (1,-3)
Fudgin [204]
U do the formula
slope = -9/4
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2 years ago
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What is the solution to the equation -2n -2 / 3 =12 ? n =
SVEN [57.7K]
The answer is n= -19/3
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3 years ago
Short sleeve t-shirts cost $10 and long sleeve t-shirts cost $15. If the t-shirt shop made $485 selling 38 total t-shirts, how m
BartSMP [9]

Answer:

The t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Step-by-step explanation:

To solve this problem, we should create a system of equations.  Let's let short sleeve t-shirts be represented by the variable s and long sleeve t-shirts be represented by the variable l.  

We know that the shop sold 38 total shirts, or in other words, the amount of long sleeve and short sleeve shirts combined is 38.  If we write this as an equation, we get: s + l = 38.

We can make another equation with the prices of the shirts.  If we take each type of shirt and multiply each price by the number sold and add them together, we should get the shop's total profits.  Represented as an equation, this is: 10s + 15l = 485.

Now that we have two equations, we should try to solve the system.  In this case, it is easiest to use substitution, so we are going to rewrite the first equation in terms of one variable.

s + l = 38

s = 38 - l

If we substitute this equivalent value for the variable s into the second equation, we get:

10s + 15l = 485

10(38 - l) + 15l = 485

Now we have an equation that only has one variable, so we can simplify both sides and then isolate the variable.

380 - 10l + 15l = 485

380 + 5l = 485

5l = 105

l = 21

Now, we can substitute this value for l back into the first equation to solve for the variable s.

s + l = 38

s + 21 = 38

s = 17

Therefore, the t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Hope this helps!

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3 years ago
If X=60, Y=25, and Z=65, what is the tangent of
LekaFEV [45]
Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
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