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luda_lava [24]
3 years ago
8

What’s the 69th term of the arithmetic sequence -13, -33, -53

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

(-1373)

Step-by-step explanation:

a = 1st term = -13

Common difference = d = 2nd term - 1st term

                            d = -33 - (-13) = -33 + 13

                             d = -20

n = 69

nth term = a + (n-1)d

69th term = (-13) + 68 * (-20)

                 = -13 - 1360

                =  - 1373

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Step-by-step explanation:

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3 years ago
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Find the sum and express it in simplest form.
m_a_m_a [10]
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Add them together and put them in alphabetical order.
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£140 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as Ju
kramer

Answer:

84

Step-by-step explanation:

Let's say Nick gets amount N, Angad amount A, and June amount J.

Here's what we know:

A+N+J=140

A=2*N

N=3*J.

Let's plug these values in.

N=3*J, so A+N+J=140 can now be A+3*J+J=140.

A=2*N, and N=3*J, so A=2*3*J=6*J. Then, A+3*J+J=140 is now 6*J+3*J+J=140, so 10*J=140 and J=14. N = 3*J=42 and A=2*N=84. Checking this, 14+42+84=140, so we are good to go!

4 0
3 years ago
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

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x_{B} = 17.5

y_{B} = 0.75\cdot (21)

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m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

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the answer is 9

Step-by-step explanation:

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