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2 years ago

Factorise the following expressions 5x^2-25xy

Mathematics

1 answer:

Natali [406]2 years ago

3 0

Answer: 5x ( x - 5y )

Step-by-step explanation:

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The equation of a line is -6x - 2y = -18. What is the x-intercept & y-intercept of the line?

WARRIOR [948]

Answer: y int: (0,9) x int: (3,0)

Step-by-step explanation:

In slope intercept form, the equation is y=-3x+9. In the formula y=mx+b, we know b is the y intercept, so our y int. is 9. To find our x intercept, we set y=0. So, 0=-3x+9=>3x=9=>x=3

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2 years ago

1. Two object accumulated a charge of

In-s [12.5K]

Answer:

The magnitude of the electric force between these two objects

will be: 181.274 N.

i.e. F $=181.274$ N

Step-by-step explanation:

Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8 μC = 2.8 × 10⁻⁶ C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

$F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}$

$=\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $\mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4$

$\mathrm{Cancel\:the\:common\:factor:}\:10^{-12}$

$=\frac{12.6}{35.4\pi \left(10^{-2}\times \:2.5\right)^2}$

$=\frac{12.6}{0.025^2\times \:35.4\pi }$ ∵ $\left(10^{-2}\times \:2.5\right)^2=0.025^2$

$=\frac{12.6}{0.022125\pi }$ ∵ $35.4\pi\times 0.025^2=0.022125\pi$

$=\frac{12.6}{0.06950 }$

F $=181.274$ N

Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.

i.e. F $=181.274$ N

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3 years ago

Which rate is the lowest price?

lubasha [3.4K]

Answer:

The correct answer is$5.50 for 5

Step-by-step explanation:

5.50/5=1.1

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2 years ago

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Henry was building a tent and had four spikes that he had to pound into the ground. The net of one of the spikes is shown. What

Nikitich [7]

First one is B
and the second is C

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3 years ago

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What is n in the equation 12 + 12n = -48

Liula [17]

Hello!

To solve an algebraic equation, you must isolate the variable on one side. We’ll begin by restating the given equation:

12 + 12n = -48

Now subtract 12 from both sides of the equation:

12n = -60

Divide both sides by 12:

n = -5

We have now proven that “n” is equal to (-5).

I hope this helps!

3 0

3 years ago

Factorise the following expressions 5x^2-25xy​

Factorise the following expressions 5x^2-25xy