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2 years ago

Reallyyy need helpppppppppp

Mathematics

1 answer:

MAXImum [283]2 years ago

8 0

Answer:

r = 3

Step-by-step explanation:

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

Slope 'm' = $\frac{y_2-y_1}{x_2-x_1}$

Slope of a line passing through (4, 2) and (r, -6) is 8.

8 = $\frac{2+6}{4-r}$

8(4 - r) = 8

4 - r = 1

r = 4 - 1

r = 3

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Write the slope-intercept form of the equation of each line

navik [9.2K]

Answer: y= 3x-1

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m =

y2-y1

x2-x1

m =

2--1

1-0

m =

m = 3

Now putting value of m in equation (i)

y = 3x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-1) for calculating y-intercept:

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8 0

2 years ago

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On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John

insens350 [35]

Solution :

Given initial velocity, v= 48 ft/s

Acceleration due to gravity, g = $12\ ft/s^2$

a). Therefore the maximum height he can jump on Mars is

$H_{max}=\frac{v^2}{2g}$

$H_{max} = \frac{(48)^2}{2 \times 12}$

= 96 ft

b). Time he can stay in the air before hitting the ground is

$T=\frac{2v}{g}$

$T=\frac{2 \times 48}{12}$

= 8 seconds

c). Considering upward motion as positive direction.

v = u + at

We find the time taken to reach the maximum height by taking v = 0.

v = u + at

0 = 16 + (12) t

$t=\frac{16}{12}$

$=\frac{4}{3} \ s$

We know that, $S=ut + \frac{1}{2}at^2$

Taking t = $=\frac{4}{3} \ s$ , we get

$S=16 \times\frac{4}{3} + \frac{1}{2}\times(-12) \times \left(\frac{4}{3}\right)^2$

$S=\frac{32}{3}$ feet

Thus he can't reach to 100 ft as it is shown in the movie.

d). For any jump whose final landing position will be same of the take off level, the final velocity will be the initial velocity.

Therefore final velocity is = -16 ft/s

3 0

3 years ago

What is 8/16 in lowest term

kaheart [24]

Answer:

1/2

Step-by-step explanation:

if you find the LCD of the numbers, you will find that it is 8. Then, you divide both of them by 8 and you get 1/2

Hope this helped a bit :)

4 0

3 years ago

A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the wo

tiny-mole [99]

Question: (a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?

Answer:

Given equation is y = 6x + 8.

Where y represents the number of baskets of berries the workers picked over a period of time x in hours.

Compare with slope intercept form y=mx+b, we get m=6 and b=8

Hence slope is 6 and y-intercept is 8.

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Question: (b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.

Answer:

Rate of change means slope so answer is 6.

Initial amount means y-intercept so that is 8.

rate of change of 6 means six baskets of berries are picked by workers in 1 hour.

Initial amount of 8 means there was 8 baskets of berries already filled in the beginning.

-----------

Question: (c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.

Answer:

first we graph y-intercept that is at point (0,8)

slope = 6 means make another point which is 6 unit up then 1 unit right from (0,8) so the new point is at (1,14)

Hence final graph is the line joining both points.

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3 years ago

An equation is shown<br> 27+18 (3+2)<br> What factor is missing from the equation?

yarga [219]

$\mathbb{\pink{\huge{Hello\:Mate!!}}}$

$Answer$

$Equal sign is missing out there.$

$Step-by-step explanation.$

If it is an equation, there must be equal sign present. It means, we are equating something. If there is equal sign, then it can't be an equation.

$Thanks....!$

With♥️

5 0

3 years ago

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