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3 years ago

What is the remainder when x^2+4 is divided by x-2?

Mathematics

1 answer:

tangare [24]3 years ago

3 0

The remainder is 8

Step-by-step explanation:

Given expression is

$x^2+4$

Which has to be divided by:

$x-2$

We have used the long division method for the given problem

The process is completed in two steps (Picture Attached)

Hence,

The remainder is 8

Keywords: Division, long division

Learn more about long division at:

#LearnwithBrainly

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Solve the equations using the substitution method:<br> 4x -2y =22<br> 2x + 4y = 6

Ugo [173]

We have that
<span>4x -2y =22------> clear variable y
2y=4x-22--------> y=4x/2-22/2---------> y=2x-11-----> equation 1
2x + 4y = 6------> equation 2

substitute equation 1 in equation 2
2x+4*[2x-11]=6-----> 2x+8x-44=6----> 10x=50------> x=5
then
y=2x-11----> y=2*5-11----> y=-1

</span>

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2 years ago

The number of charter schools is 4 less than twice the number of alternative schools and there are 48 charter schools how many a

jarptica [38.1K]

Let x = the number of alternative schools.

Therefore, 2x - 4 = 48.
2x -4 +4 = 48 + 4
2x = 52
x = 26

Therefore, there are 26 alternative schools(You could check this answer by substituting x=26 into the equation above.).

7 0

2 years ago

Can anyone help me it 7 and 9 thank!

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2 years ago

An angle is equal to five times of its complement then what is its measures

satela [25.4K]

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

7 0

2 years ago

????⃗ (x,y)=(3x−4y)????⃗ +2x????⃗ F→(x,y)=(3x−4y)i→+2xj→ and ????C is the counter-clockwise oriented sector of a circle centered

Karolina [17]

By Green's theorem, the integral of $\vec F$ along $C$ is

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(2x)}{\partial x}-\frac{\partial(3x-4y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=6\iint_D\mathrm dx\,\mathrm dy$

which is 6 times the area of $D$ , the region with $C$ as its boundary.

We can compute the integral by converting to polar coordinates, or simply recalling the formula for a circular sector from geometry: Given a sector with central angle $\theta$ and radius $r$ , the area $A$ of the sector is proportional to the circle's overall area according to

$\dfrac A{\frac\pi3\,\rm rad}=\dfrac{16\pi}{2\pi\,\rm rad}\implies A=\dfrac{8\pi}3$

so that the value of the integral is

$\dfrac{6\times8\pi}3=\boxed{16\pi}$

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3 years ago