Sup people im so bored R U GUYS TOO

I need help I will give you 10 points

KIM [24]

Answer:

k = - 2

Step-by-step explanation:

Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)

Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.

Therefore,

Slope of line g = Slope of line f = (2-0)/(0 - 2) = 2/-2 = - 1

Equation of line g(x)

For point (0, 2)

y- intercept (b) = 2

y = mx + b

g(x) = - 1x + 2 [y = g(x)]

g(x) = - x + 2

Equation of line f(x)

For point (0, 4)

y- intercept (b) = 4

y = mx + b

f(x) = - 1x + 4 [y = g(x)]

f(x) = - x + 4

It is given that:

g(x) = f(x) + k

g(x) - f(x) = k

(-x + 2) - (-x + 4) = k

-x + 2 + x - 4 = k

2 - 4 = k

-2 = k

k = - 2

8 0

3 years ago

True or False (& Justify): If a ball is thrown horizontally from the top edge of a 150m building at a speed of 25 m/sec, the

kap26 [50]

Answer:

38.6 m/s

Step-by-step explanation:

The motion of the ball is a projectile motion, which consists of two independent motions:

- A uniform motion (constant velocity) along the horizontal direction

- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction

Therefore we have to analyze the horizontal and vertical motion separately.

Along the horizontal direction, the velocity is constant during the motion, since there are no forces acting in this direction. So the horizontal velocity 3 seconds after the launch will be the same as the velocity at the launch:

$v_x = v_0 = 25 m/s$

The vertical velocity instead changes according to the suvat equation:

$v_y = u_y - gt$

where

$u_y=0$ is the initial vertical velocity

$g=9.8 m/s^2$ is the acceleration due to gravity

t is the time

Therefore, after t = 3 s,

$v_y=0-(9.8)(3)=-29.4 m/s$

So the velocity after 3 seconds is < 25, -29.4 > m/s. The magnitude of the velocity is

$v=\sqrt{v_x^2+v_y^2}=\sqrt{25^2+(-29.4)^2}=38.6 m/s$

3 0

4 years ago

. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?

insens350 [35]

Answer:

"3 hours* (460 dives/ 12 hours)= 115 dives."

"The sea turtle made 115 dives in 3 hours"

Step-by-step explanation:

"The sea turtle made 115 dives in 3 hours

Hope this helps :)

3 0

3 years ago

The product of 7/8 and 9/10 is greater than 9/10

sweet [91]

Answer:

No

Step-by-step explanation:

7/8x9/10=63/80

So to compare they need to have the same demoninators

9/10x8/8=72/80

8 0

3 years ago

Which coordinate pairs make the equation x-9y=12 true?

asambeis [7]

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

$x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12$

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

$x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12$

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

$x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12$

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

$(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12$

12 does equal 12, so (0, -4/3) makes the equation true.

8 0

4 years ago