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2 years ago

Slope of the linear equation 4x = 2y - 3 is ____.

Mathematics

1 answer:

Anettt [7]2 years ago

3 0

Answer:

Step-by-step explanation:

we want y = mx + b

4x = 2y - 3

-2y = -4x - 3

2y = 4x - 3

therefore the gradient (slope) = the coeffecient of x, which in this case is 4

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On a road trip, london and his friends see 10 cities over 5 days. How many cities Landon and his friends will see in 8 days? Sol

Svetlanka [38]

Answer:

16 cities

Step-by-step explanation:

if 5days = 10 cities

8days=?

applying cross multiplication :

(8days × ten cities )÷5 day

= 16 cities

6 0

3 years ago

A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?

satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

$R^2=r^2+(\frac{h}{2})^2$

$r^2=R^2-(\frac{h}{2})^2$

Volume of cylinder is

$V=\pi \times r^2\times h$

$V=\pi \times (R^2-(\frac{h}{2})^2)\times h$

$V=\pi (R^2\cdot h-\frac{h^3}{4})$

differentiate V w.r.t to h we get

$\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})$

Putting $\frac{\mathrm{d} V}{\mathrm{d} h}$ to get maxima/minima

$R^2=\frac{3h^2}{4}$

$h=\frac{2R}{\sqrt{3}}$

therefore radius r is given by

$r=\sqrt{\frac{2R}{3}}$

therefore volume is given by

$V=\frac{4}{3\sqrt{3}}\pi R^3$

5 0

3 years ago

Help me answer this

kari74 [83]

7 to 11 because you divide both sides by 3

4 0

3 years ago

Find the measures of the numbered angles for each parallelogram number 11

dybincka [34]

Angle 3 is 99 degrees.

Angle 2 is 61 degrees.

angle 1 is also 61 degrees.

6 0

3 years ago

Dave leaves his office in Padelford Hall on his way to teach in Gould Hall. Below are several different scenarios. Take distance

dsp73

See below for the algebraic expressions of the scenarios.

<h3>How to represent the scenarios?</h3>

The given parameters are:

Distance = 2400 feet
Unit of time = Minutes

<u>Scenario 1</u>

Represent the speed with x.

So, we have:

Speed = Distance/Time

The time is given as:

Time = 10 minutes

Since he did not stop at all;

The speed is

x = 2400/10

Multiply both sides by 10

10x = 2400

The above expression represents the scenario 1.

<u>Scenario 2</u>

Represent the speed with x, and time with t

So, we have:

Speed = Distance/Time

The time to reach halfway is given as:

Time = 6 minutes

He stopped for 1 minute, before continuing at the same initial speed

So, the total time it 13 minutes

The speed is represented as:

x = 2400/13

Multiply both sides by 13

13x = 2400

The above expression represents the scenario 2.

<u>Scenario 3</u>

Represent the speed with x, and time with t

So, we have:

Speed = Distance/Time

The time to reach halfway is given as:

Time = 6 minutes

He stopped for 1 minute, before continuing at twice the initial speed

So, the total time is

t = 6 + 1 + 1/2 * 6 minutes

t = 10 minutes

The speed is represented as:

x = 2400/10

Multiply both sides by 10

10x = 2400

The above expression represents the scenario 3.

Read more about algebraic expressions at:

brainly.com/question/19245500

#SPJ1

3 0

2 years ago