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Art [367]
3 years ago
14

Please help!!As soon as possible!!

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer: Their equations have different y-intercept but the same slope

Step-by-step explanation:

Since, the slope of the line passes through the points (2002,p) and (2011,q) is,

m_1 = \frac{q-p}{2011-2002} = \frac{q-p}{9}

Similarly, the slope of the line asses through the points (2,p) and (11,q) is,

m_2 = \frac{q-p}{11-2} = \frac{q-p}{9}

Since, m_1 = m_2

Hence, both line have the same slope.

Now, the equation of the line one having slope m_1 and passes through the point (2002,p) is,

y - p = \frac{q-p}{9}(x-2002)

Put x = 0 in the above equation,

We get, y = \frac{2000(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2000(p-q)}{9}+p)

Also, the equation of second line having slope m_2 and passes through the point (2,p)

y-p=\frac{q-p}{9}(x-2)

Put x = 0 in the above equation,

We get, y = \frac{2(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2(p-q)}{9}+p)

Thus, both line have the different y-intercepts.

⇒ Third option is correct.

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Vilka [71]
You want to multiply together the number of possible choices for each digit in the code.

0-9 is ten possible numbers, since repetitions are allowed (example code 2,2,2,2) there are ten possible choices per digit in the code.

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6 0
3 years ago
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0
3 years ago
You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression
aliya0001 [1]

Given that the number of tickets that are sold for $5 is (3t+2) tickets.

The number of tickets that are sold for $7 is (2t+5) tickets.

We need to determine the expression that represents the total number of tickets sold and the simplified expression.

<u>Total number of tickets sold:</u>

The expression for (3t+2) tickets sold for $5 is given by

5(3t+2)

The expression for (2t+5) tickets sold for $7 is given by

7(2t+5)

The expression for the total number of tickets sold is given by

5(3t+2)+7(2t+5)

Thus, the expression that represents the total number of tickets sold is 5(3t+2)+7(2t+5)

<u>Simplified expression:</u>

We need to simplify the expression 5(3t+2)+7(2t+5)

Hence, let us multiply the terms within the bracket.

Thus, we get;

15t+10+14t+35

Adding the like terms, we have,

29t+45

Thus, the simplified expression is 29t+45

5 0
3 years ago
Which of the following represents a function?
zhuklara [117]
The fourth one since it will pass the vertical test.
3 0
2 years ago
4qu, when q= 5 and u = 7
professor190 [17]

Answer:

140

Step-by-step explanation:

Substitute q = 5 and u = 7 into the expression

4qu

= 4 × 5 × 7 = 20 × 7 = 140

4 0
3 years ago
Read 2 more answers
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