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3 years ago

Find the value of r so that the line through (4,5) and (r,3) has a slope of 2/3

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

3 0

Answer:

The value of r is 1

(1,3)

Step-by-step explanation:

First you have to plot (4,5)

Then you do rise over run

you go you 2 and then to the left 3

Hope this helps

Stay safe:)

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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

3 years ago

**WILL MARK BRAINLIEST!!!** At a train station, freight trains depart at a rate of 2 trains every 30 minutes and passenger train

lyudmila [28]

Top is the passenger train
bottom is the freight
make sure you add 48+8=56
there are 56 trains that went to the station in a 12 hour period.

7 0

3 years ago

May I have help on This question please I’m being Timed

Licemer1 [7]

Answer:

i belive it is 1,3,4,5

Step-by-step explanation:

4 0

4 years ago

Use the definition of a derivative to find f’(x).

tatyana61 [14]

Answer:

f'(x) = $-\frac{9}{x^2}$

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x) = $$\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $ \hspace{0.2cm}$

$= $\lim_{h\to 0} \frac{\frac{9}{x+h} - \frac{9}{x} }{h} = \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} = \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)} = $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$$

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3 years ago

Please help! While mining, Mike found a large metal bar that contained 6 ounces of lead. Mike also determined that the bar was 4

Dima020 [189]

Answer:

15 ounces

Step-by-step explanation:

6/40 = 0.15

0.15 x 100 = 15

15 ounces

7 0

2 years ago