Write a function rule to represent the sequence.

Mathematics

1 answer:

nikklg [1K]3 years ago

3 0

A(n)=47+(n - 1)(-15)

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Write an equation for the line in point slope form through the points (2, −6) and (−1, −8).

igomit [66]

Let point A be $(2, -6)$ and point B $(-1, -8)$

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-6)}{-1 - 2} = \frac{-8 + 6}{-1 -2} = \frac{-2}{-3} = \frac{2}{3}$

Use the point-slope formula and whichever point you want as , in this case I'll use

$y - y_1 = m(x - x_1)\\y - (-6) = \frac{2}{3}(x - 2)\\y + 6 = \frac{2}{3}x - \frac{4}{3}\\y = \frac{2}{3}x - \frac{4}{3} - 6\\y = \frac{2}{3}x - \frac{14}{3}$

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2 years ago

The highest common factor of 18, 24, 36 is

yawa3891 [41]

If you list all the common factors, (1,2,3,6), you see the highest common factor is 6

6 0

3 years ago

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What is the first step when rewriting y = 3x2 9x – 18 in the form y = a(x – h)2 k?

stiks02 [169]

A quadratic equation has the general form of: 

y=ax² + bx + c

It can be converted to the vertex form in order to determine the vertex of the parabola. It has the standard form of:

y = a(x+h)² - k

This can be done by completing a square. The steps are as follows:

y = 3x2 + 9x – 18
y = 3(x2 + 3x) – 18
y + 27/4= 3(x2 + 3x+ 9/4) – 18
y = 3(x2 + 3/2)^2 – 99/4

Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.

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3 years ago

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What is the measurement of angle 1?

Andrei [34K]

Answer:

Angle 1= 180 - 110 = 70 (straight angle)

Angle 2 = 180 - 115 =65 (straight angle)

Angle 3= angle 2 =65 (corresponding alternating angles)

Angle 4 =180 - angle3 = 180 - 65 = 115 (straight angle)

Angle 5 = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)

Angle 6 = angle 5= 45 ( interior alternating angles)