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2 years ago

Graph a line with a slope of -2/5 that contains the point (-3,5)

Mathematics

1 answer:

kotykmax [81]2 years ago

4 0

$y=-\frac{2}{5}x+\frac{19}{5}$

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

$y=mx+b$

Given

$m=-\frac{2}{5}$

Putting the value of slope in the equation

$y=-\frac{2}{5}x+b$

To find the value of b, putting the point (-3,5) in equation

$5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}$

Putting the values of b and m

$y=-\frac{2}{5}x+\frac{19}{5}$

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

#LearnwithBrainly

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A small town's phone numbers either begin 373 or 377. How many phone numbers are available?

ser-zykov [4K]

Answer:

There are 20,000 number available.

Explanation:

To determine how many phone numbers are available you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

6 0

1 year ago

Copy and complete each table.

LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

$T_{2}-T_{1}$ = -3 - 2

= -5

Similarly, $T_{3}-T_{2}=-8-(-3)$

= -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, $T_{n}$ = a + (n - 1)d [n = input value]

$T_{n}$ = 2 + (n - 1)(-5)

= 2 - 5n + 5

= -5n + 7

5th term of this sequence,

$T_{5}=2+(5-1)(-5)$

= 2 - 20

= -18

Therefore, 5th term of sequence = -18

nth term of the sequence = -5n + 7

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Answer:

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Step-by-step explanation:

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1 year ago

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time

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