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TiliK225 [7]
3 years ago
7

Line Q has a slope of one half and crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2.

How many solutions are there for the pair of equations for lines Q and S?
Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0
Line Q's equation would be y=1/2x+3 and line S's equation is Y=1/2x-2. You would compare them. So you would get 1/2x+3=1/2X-2. Subtract 1/2X from both sides and you get 3=-2. So the answer is these lines have no solution.
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X^2 - 2x + y^2 + 6y = 6       is the first step
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At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. What is the tax rate for meals in this city
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Answer is 8.5% ......
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Does anyone know this one! Thanks
Scrat [10]

Answer:

22.4 cm

Step-by-step explanation:

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Soloha48 [4]

Answer:

1. 38, 80, 89 and 4. 14, 15, 29

I don't know if there is supposed to be only one, but both of those do not form right triangles.

Step-by-step explanation:

Evaluate all of them and see if they meet the requirements of the Pythagorean Theorem, a² + b² = c².

1. 38, 80, 89

a² + b² = c²

38² + 80² = 89²

1444 + 6400 = 7921

7844 ≠ 7921.

This is an answer because it doesn't satisfy the Pythagorean Theorem.

2. 16, 63, 65

a² + b² = c²

16² + 63² = 65²

256 + 3969 = 4225

4225 = 4225

This isn't the answer because it satisfies the Pythagorean Theorem.

3. 36, 77, 85

a² + b² = c²

36² + 77² = 85²

1296 + 5929 = 7225

7225 = 7225

This isn't the answer because it satisfies the Pythagorean Theorem.

4. 14, 15, 29

a² + b² = c²

14² + 15² = 29²

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6 0
3 years ago
Alice earned $622.50 in interest on her savings in the bank. Before interest, the account had $12,450. What is the approximate p
Lubov Fominskaja [6]

<u><em>Answer:</em></u>

5%


<u><em>Explanation:</em></u>

% she earned in interest can be calculated by calculating the % of increase in the balance


<u>We have:</u>

Original balance = $12,450

Amount of interest = $622.5

<u>This means that:</u>

new balance = 12,450 + 622.5 = $13,072.5


<u>Now, we can get the percentage of increase:</u>

% of increase = \frac{Value_n_e_w - Value_o_l_d}{Value_o_l_d} *100


<u>Substitute with the values we have to get the percentage of interest earned as follows:</u>

% of interest earned = \frac{13072.5 - 12450}{12450} * 100 = 5%


Hope this helps :)

7 0
3 years ago
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