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3 years ago

A rectangle has length(4x+5) and breadth 3x.Find the area of the rectangle.

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

Length = 4x+5

Breadth = 3x

Area = l × b

= (4x+5) × 3x

= 12 x² + 15 x

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What is the area of the triangle above?

Alex73 [517]

Answer:

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2 years ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

Un móvil azul de 573 g se encuentra en movimiento sobre un carril metálico. Si sobre el móvil, el resorte ejerce una fuerza haci

ad-work [718]

Answer:

The total mechanical energy is 0.712 J.

Step-by-step explanation:

A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.

The total mechanical energy is given by the sum of the kinetic energy and the potential energy.

Kinetic energy = 0.47 J

Potential energy = 0.242 J

The total mechanical energy is

T = 0.47 + 0.242 = 0.712 J

4 0

2 years ago

-2/7 - (-4/3) -1/3 what is the answer

seraphim [82]

You have to first make like terms

$-\frac{2}{7} -(- \frac{4}{3})- \frac{1}{3} 
$
**you want the denominator to be 21

$\frac{-6+28-7}{21} = \frac{15}{21}= \frac{5}{7}$

3 0

3 years ago

Explain what x^(2/3) means using radicals and integer exponents.

Evgesh-ka [11]

The cube root of x^2.

If you look at a regular square root of a number, that would be the same as x^(1/2) See the pattern?

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2 years ago

A rectangle has length(4x+5) and breadth 3x.Find the area of the rectangle.​

A rectangle has length(4x+5) and breadth 3x.Find the area of the rectangle.