How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?​

Answer:

x = 98

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] + 15 = 64 ( subtract 15 from both sides )

[tex]\frac{x}{2}[/tex] = 49 ( multiply both sides by 2 to clear the fraction )

x = 98

Nuclear reaction involves the disintegration of an element and emission of radioactive particles during the process. This process can be natural, or artificially induced. Thus, the equation for the reaction is balanced.

Nuclear reaction is the process in which a given element emits radioactive particles or radiation. The two classes are: natural transmutation and artificial transmutation.

Natural transmutation occurs on its own due to the half life of the element. While artificial transmutation involves inducing or bombarding an element with another element or particle.

In the given question, the radon element undergoes transmutation into polonium and an alpha particle. The equation is given as;

[tex]^{219} _{86} RN[/tex] ⇒  [tex]^{215} _{84} Po[/tex] + [tex]^{4} _{2} a[/tex]

Therefore, the equation is balanced since an alpha particle was emitted.

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The nuclear reaction entails the breakdown of an element and the subsequent release of radioactive particles. This process can occur naturally or be produced purposefully. As a result, the reaction equation is balanced. The radon element is transmuted into polonium and an alpha particle in the provided question. Since an alpha particle was emitted, the equation is balanced.

Answer:

3/2 miles, or 1 1/2 miles

Step-by-step explanation:

Area = Length times Width

So Width is Area / Length

Calculate the problem, (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Answer:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

PLZZ MARK BRAINLY

Step-by-step explanation:

y = (x - 4)/x = x/x - 4/x = 1 - 4/x

c = 1

r = -4

done ...

Answer:

(0,3) and (0,11)

Step-by-step explanation:

A tip for next time is that if the "0" is first, then it is the y-axis. And if the "0" is second, it is the x-axis.

Answer:

Step-by-step explanation:

If a - b = c then the value of b is a - c:

Answer:

8 cans for 9$

Step-by-step explanation:

buy 8 cans for 9$

The 8 cans for $9 is better than six cans for $7.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to find better buy six cans for $7 or 8 cans for $9.

Let's find the unit rate of both the quantitites;

six cans for $7

Then one can = 7/6 = 1.16

Therefore, 8 cans for $9.

one can = 9/8 = 1.125

Hence, the  8 cans for $9 is better than six cans for $7.

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A diagram is shown below.

====================================================

Explanation:

First we make a copy of AB. Then we tack on a copy of CD onto AB. Check out the diagram below to see what I mean. The segments AB and CD glue together to form the larger segment AD. We can say AB+CD = AD. Dividing that larger segment in half will locate the midpoint and it will help us average the lengths of AB and CD. It's the visual or geometric meaning of what "average" means.

To find the midpoint of any segment, we involve the process of finding the perpendicular bisector. Recall that "bisect" means to "cut in half". The perpendicular bisector of XM is point Y, and XY is exactly half that of segment AD.

------------

Check out the diagram below.

Figure 1 is the two segments separated, and figure 2 has us glue them together to form segment AD. Segment AD is renamed to XZ. Finding the perpendicular bisector of XZ leads to point Y at the midpoint and [tex]\text{XY} = \frac{\text{AB+CD}}{2}[/tex], which is shown in figure 3.

Answer:

78

Step-by-step explanation:

You use the formula

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

with a=2 and b=5 plug it in to the formula

[tex] \frac{f(5) - f(2)}{5 - 2} [/tex]

find the values

[tex]f(5) = {3}^{5} + 4 = 247 [/tex]

[tex]f(2) = {3}^{2 } + 4 = 13[/tex]

put it all together

[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]

Answer:

[tex]- \frac{5}{4}[/tex]

Step-by-step explanation:

Use the slope form:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m = slope

Let:

[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (-6 , -3)[/tex]

Plug in the corresponding numbers to the corresponding variables, and solve:

[tex]m = \frac{-3 - (-8)}{-6 - (-2)} = \frac{-3 + 8}{-6 + 2} = \frac{5}{-4} = -\frac{5}{4}[/tex]

[tex]- \frac{5}{4}[/tex] is your answer.

[tex] - 1[/tex]

see the attachment for the explanation

Q) [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex] = ?

→ [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]

→ [tex]-\sqrt{3} + {\sqrt{3}-1 }[/tex]

→ [tex](-\sqrt{3} + \sqrt{3})-1[/tex]

→ -1 is the final answer.

Answer:

30yd^3

Step-by-step explanation:

dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

Answer:

8.x=7

7.x=12

Step-by-step explanation:

8.The two Base angles are equal

7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.

Answer:

m,ouih

-step explanation:

Answer:

135%

Step-by-step explanation:

1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.

Answer:

B

Step-by-step explanation:

-25,- 10, -3, 0, 5, 7, 25

Answer:

8

Step-by-step explanation:

We know that angles in a triangle add up to 180, so:

5x-60+2x+40+3x-80=180

Simplify

10x-100=180

Solve

Subtract 100 from both sides

10x=80

Divide 80 by 10 to find x

x=8

Answer:

-32

PA BRAINLIEST

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

-2 to the power of 5 is -32

Step-by-step explanation:

it would have to be practically the same equation.

because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).

the only one being exactly the same as the original equation is the fourth option

y = 2(x + 5)

because that is

y = 2x + 10

Answer:

Answer should be choice 4

Step-by-step explanation:

The fraction number negative 6/2 in the simplified form will be negative 3.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The fraction number is given below.

⇒ - 6 / 2

Simplify the fraction number, then we have

⇒ - 6 / 2

⇒ - 3

The fraction number negative 6/2 in the simplified form will be negative 3.

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Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°

Answer:

-2/3

Step-by-step explanation:

First, distribute, -4(2x - 1) is -8x + 4. Next, do the opposite of the sign for the variable, since -8x can be written as - 8x, do the opposite sign, which is addition. -5 + 8 and -8 + 8. Add on both sides. Now you have 3x + 6 = 4. Then subtract 6 by 4. You'll get -2. The denominator is the number that has the variable. So now the equation will be 3x/3 = -2/3. You can turn -2/3 into a decimal, but it-s fine like that.

Answer:

3

Step-by-step explanation:

because 3 is a prime number and 3+2=5 which is also a prime number

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

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Answer:

6250

Step-by-step explanation:

62 hundreds is the same as 62 X 100 which equals 6200.

5 tens is the same as 5 X 10 which equals 50.

And if we add these together, we get a total of 6250

Answer:

2

Step-by-step explanation:

2 is farther right on the number line because it is a positive number while -2 is negative.

Answer:

3²

Step-by-step explanation:

3³x3³=3^6

3^6÷3^4=3²