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3 years ago

Rewrite the equation 2x+3y=6 in slope-intercept form.

Mathematics

2 answers:

I am Lyosha [343]3 years ago

6 0

Answer:

y = 2/3x − 2.

Step-by-step explanation:

We essentially just want a y on the left side, so let's subtract 2x from both sides to get −3y = −2x + 6.

Lastly, let's divide both sides by −3 to get y = 2/3x − 2.

Our equation is now in slope-intercept form, where the slope is 2/3 and our y-intercept is −2.

sweet-ann [11.9K]3 years ago

3 0

Answer:

y= 2/3x + 2

Step-by-step explanation:

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Yochanan walked from home to the bus stop at an average speed of 5 \text{km/h}km/hstart text, k, m, slash, h, end text. He immed

Eduardwww [97]

Answer:

Yochanan covered 5 kilometers by walking.

Yochanan covered 30 kilometers by travelling on the bus.

Step-by-step explanation:

Let w represent distance walked.

We have been given that the total distance from his home to school is 35 kilometers. So distance covered by the bus would be $35-w$ .

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Yochanan walked from home to the bus stop at an average speed of 5 km/h. So,

$\frac{\text{Distance walked}}{\text{ Walking speed}}=\frac{w}{5}$

He immediately got on his school bus and traveled at an average speed of 60 km/h until he got to school. So,

$\frac{\text{Distance covered by bus}}{\text{ Bus's speed}}=\frac{35-w}{60}$

We are told that the entire trip took 1.5 hours. We can represent our information as:

$\frac{w}{5}+\frac{35-w}{60}=1.5$

Let us solve for w.

$\frac{w}{5}*60+\frac{35-w}{60}*60=1.5*60$

$12w+35-w=90$

$11w+35-35=90-35$

$11w=55$

$\frac{11w}{11}=\frac{55}{11}$

$w=5$

Therefore, Yochanan covered 5 kilometers by walking.

Now, we will substitute $w=5$ in expression $35-w$ to find distance covered by travelling on the bus as:

$35-w\Rightarrow 35-5=30$

Therefore, Yochanan covered 30 kilometers by travelling on the bus.

4 0

3 years ago

Read 2 more answers

Write an expression using an exponent to represent the

Ghella [55]

Answer: 4 to the power of 4

Step-by-step explanation: Adrian started of with $4 and by month 4 he will have 256. 4•4•4•4=256

3 0

3 years ago

Consider this composite figure made of a cone and a cylinder. a cone has a height of 8 centimeters and radius of 3 centimeters.

Andreas93 [3]

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

$\rm Volume = \dfrac{1}{3} \pi r^2 h$

Then we have

$\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi$

More about the geometry link is given below.

brainly.com/question/7558603

4 0

2 years ago

12. The brakes on a vehicle can slow it down at a rate of 15m/s 2. Remember that slowing down is also a rate of change of speed.

Rom4ik [11]

Step-by-step explanation:

there are several formulas that could play a role.

but in our case, where we have velocities and the deceleration, we are going to use

fV = iV + at

fV = final velocity (0 on our case)

iV = initial velocity (40 m/s in our case)

a = acceleration (-15 m/s² in our case)

t is the time it takes to reach fV.

0 = 40 + (-15)t = 40 - 15t

15t = 40

3t = 8

t = 8/3 = 2.666666666... seconds

so, it takes 2.6666666... or 2 2/3 seconds to bring the vehicle to a standstill.

7 0

2 years ago

One state leads the country in tart cherry production, producing 75 out of every 100 tart cherries each year.

Natasha_Volkova [10]

Answer:

a. 75% of tart cherries

b. 25% not produced in the state

3 0

3 years ago