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2 years ago

4. Find the equation of the line that goes through the point (1.-1) and has a siope of 5.

Mathematics

1 answer:

Wewaii [24]2 years ago

8 0

<h3>Answer:</h3>

y=5x-6

<h3>Solution:</h3>

First, let's write the equation of the line in Point-Slope Form:
y-y1=m(x-x1)
y-(-1)=5(x-1)

y+1=5(x-1
Convert into slope-intercept:

y+1=5x-5
y=5x-5-1
y=5x-6

Hope it helps.

Do comment if you have any query.

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Total no of whole number of that have less than 1000 and divisble by 7

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Answer:

<em>There are 142 whole numbers less than 1000 and divisible by 7.</em>

Step-by-step explanation:

The multiples of 7 form an arithmetic sequence like shown:

7, 14, 21, ...

The last term of this sequence can be found by dividing 1000/7=142.9 and rounding down to the previous integer: 142*7= 994.

Thus, the sequence has:

a1=7, r=7, an=994. We need to find n and we'll do that by using the general term formula:

$a_n=a_1+(n-1).r$

And solving for n:

$\displaystyle n= \frac{a_n-a_1}{r}+1$

$\displaystyle n= \frac{994-7}{7}+1$

n = 142

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Answer:

The toy's maximum height is $10.12\ \text{feet}$ .

Step-by-step explanation:

The equation that models the toy's height in feet from the ground at t seconds after he threw it is given by :

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It is required to find the toy's maximum height. For maxima or minima, put

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Plugging the value of t in above equation,

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Now put t = 1.75 s in equation (1) such that,

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3 years ago

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13 units because 7 + 6 = 13

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3 years ago

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