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3 years ago

What is the equation of the line that contains the point (3,-1) and has the same slope as the the line y=1/3x+5

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

Line y = 1/3x + 5 has slope 1/3, so the line we are looking for also has slope 1/3.

y = 1/3x + b

We know a point, so we plug in the values of x and y, and we solve for b.

y = 1/3x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

Now that we know b, the equation is:

y = 1/3x - 2

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23) A ball is launched into the air. The function h=-16 +126 gives the height of the

Paul [167]

The equation is missing 't' terms. The correct equation is:

$h=-16t^2+126t$

Answer:

(a) 248.06 ft

(b) 7.875 s

Step-by-step explanation:

Given:

Height of ball in air above ground is given as:

$h=-16t^2+126t$

(a)

At maximum height, the speed of the ball is 0 momentarily. Speed is nothing but rate of change of height which is the first derivative of height with time. Therefore,

At maximum height:

Speed = 0

$h'=0\\-16(2t)+126=0\\-32t+126=0\\32t=126\\t=\frac{126}{32}=3.9375\ s$

Now, maximum height is obtained by plugging in $t=3.9375$ . Thus,

$h_{max}=-16(3.9375)^2+126(3.9375)\\h_{max}=-248.0625+496.125=248.0625\ ft$

Therefore, the maximum height of the ball is 248.06 ft. (Rounded to nearest hundredth)

(b)

Now, total time of travel of the ball is the sum of time taken to reach maximum height and the time taken from maximum height to the bottom.

Also, time taken for upward journey would be same as that of downward journey. Therefore, total time taken is twice that of the upward journey.

We have,

Time to reach maximum height, $t = 3.9375\ s$

Therefore, total time the ball was in air = $2(t)=2\times 3.9375=7.875\ s$

Hence, the ball was in the air for 7.88 s. (Rounded to nearest hundredth)

3 0

3 years ago

How do you identify independant or dependant variable in a function word problem?

laiz [17]

Independent variable - represents a quantity that is being manipulated

dependent variable- represents a quantity whose value depends on how the independent variable is manipulated.

8 0

3 years ago

Rudik [331]

Answer:

The question is incorrect. please write your coordinates in the form (x, y).

7 0

3 years ago

Can someone help on question 2

Kobotan [32]

Step-by-step explanation:

i think option a is the correct answer

5 0

3 years ago

Read 2 more answers

How do I do a question 5* “I, J, k, and L

7nadin3 [17]

Answer:

Step-by-step explanation:

5 (i) 243 ÷x = -81

243 ÷ -81 = x

x = -3

5 (j) 50 ÷ x = -50

50 ÷ -50 = x

x = -1

5(k) -92 * x = 184

x = 184 ÷ -92

x = -2

5(l) -800 ÷x = -20

-800 ÷ -20 = x

x = 40

3 0

3 years ago