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3 years ago

The straight line L has the equation 4y=5x+3

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

$4y=5x+3\\write -in ; y=mx+b -form\\y = \frac{5}{4} x + \frac{3}{4} \\m = 5/4\\m_1m_2 = -1\\5/4m_2 =-1\\m_2 = -4/5\\ (3,-2)\\x = 3\\y = -2\\y = mx+b\\-2 = -\frac{4}{5}(3) +b\\-2 = -12/5 +b\\-2+12/5 = b\\2/5 = b\\m = -4/5\\Substitute -new-values-into-slope-intercept-form\\y = mx+b\\y = -4/5x + 2/5$

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The triangle below is equilateral. Find the length of side 2 in simplest radical form

Masteriza [31]

Answer:

$x=\frac{4\sqrt{3}}{3}$

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

$\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\sqrt{3}=\frac{4}{x}$

$x=\frac{4}{\sqrt{3}}$

$x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }$

$x=\frac{4\sqrt{3}}{3}$

5 0

3 years ago

In 2004 the population in Morganton, Georgia, was 43,000. The population in Morganton doubled by 2010. If the growth rate remain

zheka24 [161]

Answer:

263,606.9

Step-by-step explanation:

In 2004 the population in Morganton, Georgia, was 43,000.

(0, 43000)

The population in Morganton doubled by 2010

In 6 years the population is doubled (86000)

(6,86000)

$A= a(b)^t$

Use (0,43000) in the above equation

$A= a(b)^t\\43000= a(b)^0\\a=43000$

Now plug in (6,86000)

$A= a(b)^t\\A= 43000(b)^t\\86000=43000(b)^6\\2=b^6\\b=\sqrt[6]{2} \\b=1.12$

$A=43000(1.12)^t$

Now find out A when t=16 (2020)

$A=43000(1.12)^t\\A=43000(1.12)^{16}\\A=263606.9$

3 0

4 years ago

You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answe

Mazyrski [523]

Answer:

9,198.11 thats the answer i just did this and got it correct

hope it helped

Step-by-step explanation:

3 0

3 years ago

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If a train traveled at 50 meters within 120 seconds, what is its speed?

Alja [10]

Answer:

v = 0.416 m/s

Step-by-step explanation:

Give that,

Distance covered by a train, d = 50 m

Time taken, t = 120 s

We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :

$v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s$

So, the speed of a train is 0.416 m/s.

3 0

3 years ago

Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.

Andrews [41]

3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.

3 0

4 years ago

Read 2 more answers