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Tom [10]
3 years ago
15

The Point-Slope Equation: Pt 2

Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

y = -1/3x - 5/3

Step-by-step explanation:

The slope of a line is the ratio of vertical distance to horizontal distance between the points. Since the line has to cross through the point (-5,0), count out the slope -1/3 by moving down 1 unit and to the right 3 units. This places the line between -1 and -2 on the y-axis. Looking at the options listed for b in y = mx + b. b = -5/3 is the best option and is between -1 and -2.

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3 years ago
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The perimeter of the triangle shown to the right is 338 meters. Find the length to each side
Flauer [41]

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A collection of quarters and dimes is worth $14.90. There are 80 coins in all. Find how many of each there are in the collection
sashaice [31]

The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes

7 0
4 years ago
Use the simple interest formula to find the ending balance.
spayn [35]
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5000 + 875 = 5875

answer: <span>ending balance $5,875</span>
3 0
4 years ago
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