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2 years ago

Write an equation of the line that passes through the given points (-4,8) and (2,2)

Mathematics

2 answers:

Nikitich [7]2 years ago

6 0

Answer:

y=-x+4

Step-by-step explanation:

Slope= Difference in y over difference in x position:

(2-8)/(2--4) --> -6/6 --> <u>-1</u>

The slope is -1

We can put what we have so far in slope intercept form: y=-1x+b

The y-intercept (also known as b) in this equation is 4

In slope-intercept form this line would be written as y=-1x+4,

or simply just y=-x+4

AlladinOne [14]2 years ago

3 0

Answer:

y = -x + 4.

Step-by-step explanation:

The slope of the line = (y2-y1) / (x2-x1)

= (8-2) / (-4-2)

= -1.

Using the point slope form of a straight line

y - y1 = m(x - x1):

y - 2 = -1(x - 2)

y - 2 = -x + 2

y = -x + 4.

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Answer:

Division then subtraction

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2 years ago

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Answer:

1.625

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Answer:

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2 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

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3 years ago

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the bas

Katena32 [7]

Answer:

Step-by-step explanation:

curved surface area is 2πrh, so 2*π*7*15.

7*15*2=210.

210*π=659.734

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2 years ago