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liraira [26]
3 years ago
7

Choose the equation and the slope of the line that passes trough (5,-3) and is parallel to the x-axis

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

y = -3

Step-by-step explanation:

Parallel to the x axis means that it is a horizontal line

It is of the form y =

Given the point ( 5, -3)

The y value is -3

y = -3

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PLS ANSWER it CORRECTLY for 25 points<br>​
olchik [2.2K]

Answer:

1. 0

2. 18 th term

3. 209

4. 670

Step-by-step explanation:

1. n^th term  of an A.P = a + (n - 1)d , where n is the term

6 = a + (5 - 1)d ... (i)

5 = a + (6 - 1)d ... (ii)

a + 4d = 6 ... (i)

a + 5d = 5 ... (ii)

Subtracting (ii) - (i) we get;

0 + d = -1 , d = -1

So the common difference (d) = -1

And first term (a);

a + 4(-1) = 6

a = 6 + 4 = 10

11^th term will be;

n_{11} = 10 + -1(11 - 1) = 10 - 10 = 0

2. The A.P is;

1, 4, 7, 10, 14, ....

The first term (a) = 1

The common difference (d) = 3

n_{th} = a + (n - 1)d

52 = 1 + (n - 1)3

3n - 3 + 1 = 52

3n = 52 + 2 = 54

n = 54/3 = 18 th term

3. The A.P is;

4, 9, 14, ... , 254

The first term (a) = 4

The common difference (d) = 5

n_{th} = a + (n - 1)d

To find what term number 254 is;

254 = 4 + (n - 1)5

5n - 5 + 4 = 254

5n = 254 + 1 = 255

n = 255/5 = 51

The 10^th term from the end of the AP is the 42^nd term.

n_{42} =  4 + (42 - 1)5 = 4 + 205 = 209

4. The A.P is;

5, 8, 11, 14, ...

The first term (a) = 5

The common difference (d) = 3

Sum of n terms in an A.P is given by;

s_{n} = \frac{n}{2}(2a + (n - 1)d)

s_{n} = \frac{20}{2}(10 + 19(3) = 10(10 +57) = 670

7 0
3 years ago
Whic expression is equivalent to -80
viva [34]
None of theses expressions listed are equivalent to -80 due to the reason that nothing = nothing. Please list answer options below.
4 0
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Camilla's employer pays 90% of the total cost of her family's health insurance
Irina-Kira [14]

Answer:

B. $10

Step-by-step explanation:

Camila's employer pays 90% of the total cost of her family's health insurance

plan

Therefore, Camilla pays only 10%

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each month?

Amount of health insurance Camilla pays at $850 per month = 10% of $850

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Amount of health insurance Camilla pays at $950 per month = 10% of $950

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Amount Camilla pays more = $95 - $85

= $10

B. $10

8 0
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