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3 years ago

Give the slope and y intercept 6x-3y=-9

1 answer:

5 0

To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)

To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.

6x - 6x - 3y = -9 - 6x

-3y = -9 - 6x

Now that the y term is on one side of the equation, we can continue.

Divide everything on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.

y = -3 - 2x

Flip some of those numbers around to get this:

y = 2x - -3

Get rid of the double negative. (Change 2x - -3 into 2x + 3)

y = 2x + 3

Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)

Slope: 2
Y-intercept: 3

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Two locomotives approach each other on parallel tracks. Each has a speed of 87 km/hr with respect to the ground. If they are ini

sergiy2304 [10]

Answer:

9.3

Step-by-step explanation:

if both travel at same speed they will take equal distance and time to reach the middle and collide.

hence, 27/2 =13.5km

speed=distance/time

time = distance/speed

time= 13.5/87 = 0.15517mm hr

0.15517×60 = 9.31minutes

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3 years ago

9. To rent a car from Car Rent-A Center Evan must pay $25 plus an additional $2 per mile that he

ICE Princess25 [194]

Answer:

25 + 2x= 325 x=150

Step-by-step explanation:

-25 -25

2x 300

/2 /2

×= 150

8 0

2 years ago

Complete the equivalent equation for –7x – 60 = x2 + 10x.

rewona [7]

Complete the equivalent equation for –7x – 60 = x2 + 10x.

(x + 5)(x + 12) = 0

What are the solutions of –7x – 60 = x2 + 10x?

x = -12 or -5

Please mark as Brainliest.

5 0

3 years ago

Read 2 more answers

Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.

MariettaO [177]

(2.78 + 4.81) * (2.78 + 5.61)

7 0

3 years ago

Read 2 more answers

At time t>=0, the acceleration of a particle moving on the x-axis is a(t)=t+sin(t). At t=0, the velocity of the particle is -

Rufina [12.5K]

Answer:

The velocity of the particle will be zero for t = 1.47 sec .

Step-by-step explanation:

Given equation:

a(t)=t+sin(t)

lets integrate it with respect to time,

∫ a(t) dt = ∫(t+sin(t)) dt

⇒ v(t) = $\frac{t^{2} }{2}$ - cos(t) +c

At, t=0, v= -2 so,

⇒ -2 = 0 - 1 +c

⇒ c= -1

Hence,

v(t) = $\frac{t^{2} }{2}$ - cos(t) -1

for the velocity to be zero,

0 = $\frac{t^{2} }{2}$ - cos(t) -1

⇒ t = 1.47 sec (taking only positive value)

So at 1.47 sec the velocity of particle will be zero.

7 0

3 years ago