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2 years ago

What is the distance between R(5,2) and S(4,-7)? Round to the nearest tenth.

1 answer:

5 0

You can calculate the distance between two point using this fomula:

√(x_2-x_1)^2+(y_2-y_1)^2

If you insert you values you get:

√(4-5)^2+(-7-2)^2 = 9.06 = 9.1

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An equation of a line perpendicular to the line represented by the equation y = -

dem82 [27]

Answer:

y= 1/2x+1

Step-by-step explanation:

3 0

2 years ago

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3 to the power of -4

leva [86]

Three to the power of negative four is 81

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2 years ago

A small auditorium has 12 rows of seats. There are 10 seats in the first row and 15 seats in the second row. The number of seats

Allushta [10]

10+15+20+25+30+35+40+45+50+55+60+65=450

There are 450 seats in the auditorium

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3 years ago

Write the terms a 1a1, a 2a2, a 3a3, and a 4a4 of the following sequence. If the sequence appears to converge, make a conjec

Arturiano [62]

Answer:

Step-by-step explanation:

WE are given that $a_n = \frac{(-1)^{n+1}}{5n-4}$ . Then, to now the first for terms, we must replace n by 1,2,3,4 respectively. Then

$a_1 = \frac{(-1)^2}{5(1)-4} = \frac{1}{1}= 1$

$a_2 = \frac{(-1)^3}{5(2)-4} = \frac{-1}{6}$

$a_3 = \frac{(-1)^4}{5(3)-4} = \frac{1}{11}= 1$

$a_4 = \frac{(-1)^5}{5(4)-4} = \frac{-1}{16}= 1$

Note that as n increase, $a_n$ gets closer to 0. So, the limit of this sequence is 0.

6 0

3 years ago

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (

Scilla [17]

Answer:

The equation of the line would be y = -3/2x + 9

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 6 = -3/2(x - 2)

y - 6 = -3/2x + 3

y = -3/2x + 9

4 0

2 years ago