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Arte-miy333 [17]
3 years ago
15

A triangle has vertices A (1,1) B (2,4) and C (4,2). Line p is parallel to side AB and contains point C. Write an equation for l

ine p. Part 1. Find the slope of AB. Show your work. Part 2. Use the slope from Part 1 and point C to write an equation for line p in slope-intercept form. Show your work.
Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

part 1: slope of AB : 3

equation of line p:  y = 3x -10

Step-by-step explanation:

part 1: slope of AB = (4-1) / (2-1) = 3

part 2: y = mx + b

b = 2 - (3 × 4) = -10

equation: y = 3x -10

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g A jacket regularly sells for $135.00. The sale price is $60.75. Find the percent decrease of the sale price from the regular p
Alenkasestr [34]

Answer:

55%

the percent decrease of the sale price from the regular price is 55%

Step-by-step explanation:

Percentage decrease is the percentage change in the sales price (regular and new)

Percentage decrease %∆P = ∆P/Pr × 100%

∆P = change in sales price = $135 - $60.75

Pr = regular price = $135

Substituting the values;

%∆P = (135-60.75)/135 × 100%

%∆P = 55%

the percent decrease of the sale price from the regular price is 55%

5 0
3 years ago
Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo
zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0
3 years ago
Solve the quadratic equations below using the factorization method.
liubo4ka [24]

Answer: omg this is hard

Step-by-step explanation:

4 0
3 years ago
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malfutka [58]

Answer:

A

Step-by-step explanation:

The line cuts the y at positive two. The rise over run of the slope is -3/1, or 3.

Just had a test on these kinds of problems and i got 100.

5 0
3 years ago
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The corresponding lengths of two cuboids are 12 and 3. What is the ratio of their volumes?
damaskus [11]

Answer:

I think 4:1 I'm not that sure tho

3 0
3 years ago
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