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Answer:

C. [tex]9\pi[/tex]

Step-by-step explanation:

We proceed to solve for [tex]x[/tex] by the Pythagorean Theorem:

[tex](x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}[/tex] (1)

[tex]x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)[/tex]

[tex]x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17[/tex]

[tex]4\cdot x^{2} -20\cdot x + 16 = 0[/tex]

[tex](2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0[/tex]

[tex](2\cdot x -8)\cdot (2\cdot x -2) = 0[/tex]

There are two different solutions:

[tex]x_{1} = 4[/tex], [tex]x_{2} = 1[/tex]

A solution of [tex]x[/tex] is considered realistic when the length of every side of the triangle is a not negative number.

[tex]x_{1} = 4[/tex]

[tex]UV = 2\cdot (4) - 4[/tex]

[tex]UV = 4[/tex]

[tex]WU = 4 - 1[/tex]

[tex]WU = 3[/tex]

[tex]WV = 4 + 1[/tex]

[tex]WV = 5[/tex]

[tex]x_{2} = 1[/tex]

[tex]UV = 2\cdot (1) - 4[/tex]

[tex]UV = -2[/tex]

[tex]WU = 1 - 1[/tex]

[tex]WU = 0[/tex]

[tex]WV = 1 + 1[/tex]

[tex]WV = 2[/tex]

The only realistic set of solutions is for [tex]x = 4[/tex], and the radius of the circle is represented by the line segment [tex]WU[/tex]: [tex]r = 3[/tex]

And the area of the circle ([tex]A[/tex]) is calculated from the following formula:

[tex]A = \pi\cdot r^{2}[/tex]

[tex]A = \pi\cdot (9)[/tex]

[tex]A = 9\pi[/tex]

The correct answer is C.

Answer:

[tex]Amount = 49 + 14.99k[/tex]

Step-by-step explanation:

Given

[tex]Books = 24[/tex]

[tex]Another\ Store = 25[/tex]

[tex]Model = k[/tex]

Cost of [tex]Model = 14.99[/tex] --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

[tex]Amount = Books + Another\ Store + Model * Cost[/tex]

[tex]Amount = 25 + 24 + k * 14.99[/tex]

[tex]Amount = 49 + 14.99k[/tex]

Answer:

si

Step-by-step explanation:

cuando sumamos la medida de un ángulo en el par con el otro ángulo en el par, el total será 180 grados.

No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

The sum of the measures of a pair of adjacent angles can be any number, including 180 degrees, but it does not have to be 180 degrees.

No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.

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Answer:

yes this is true helpful answer

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

Explanation:

If you have exactly one right angle, then it is possible to have no parallel lines.   See the diagram below. Refer to the upper figure.

If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.

If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.

It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.

Answer:

The answer is 6

Step-by-step explanation:

(0,6)

x=0,y=6

Substituting 0 for x and 6 for y

6=2(0) + b

6=b

or

6 = 3(0)+b

6=b

Therefore, b=6

Answer:

345

Step-by-step explanation:

The answer is 345 because you divide 1380 by 4 which is 345.

Answer:

it will tale 11weeks to pay back his friends and he will have $112left after.

Step-by-step explanation:

88÷8=11.

200- 88 =112

Answer:

I think there are 23 students in the art class.

Step-by-step explanation:

You first subtract 9 from 101. Then, you divide by four to get 23.

Answer:80 and a half years old

Step-by-step explanation:62+18=80 6 months=1/2 of 1 year

80+1/2 = 80 1/2 years old

Answer:

Step-by-step explanation:

y=sin (x-\pi/4)

Answer:

-4/3

Step-by-step explanation:

let (13,-4) be (x1,y1) respectively

(1,12) be (x2,y2) respectively

From,

slope=(y2 -y1)/(x2-x1)

=(12+4) /(1-3)

=16/-12

=-4/3

Answer:

8

Step-by-step explanation:

First we need to figure out what g equals

Since 6 x 8 = 48 your answer would be 8

6 x 8 = 48

~ LadyBrain

The value of g that satisfies the equation is 8.

To solve the equation 6g = 48 and find the value of g, we can isolate the variable g by dividing both sides of the equation by 6:

6g / 6 = 48 / 6

This simplifies to:

g = 8

Therefore, g equals 8. By dividing both sides of the equation by 6, we find that when g is multiplied by 6, it results in 48. Hence, the value of g that satisfies the equation is 8.

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Answer:

7 in 12 chance

Step-by-step explanation:

theres 12 pieces and cherry and grape has 7 combined pieces so the chance of you picking a piece that is either cherry or grape is 7/12

Answer:

1, 20

2, 20

Step-by-step explanation:

Answer:

your correct answers are  

1, 20

2, 20

Step-by-step explanation:

Answer:

f(x)=−4(x+ 41 ) 2 − 4 11

Explanation:

The given function is

f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3

To write the function is vertex form, we need to complete the square.

We first factor -4 to get:

f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3

Add and subtract the square of half the coefficient of x.

f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3

We factor the perfect square trinomial and simplify to get:

f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11

[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]

[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]

Answer:

x=13.84

Step-by-step explanation:

3x + 5x + 5x = 180 degree (sum of interior angles of a triangle is always 180 degeree)

13x = 180

x=180/13

x=13.84

therefore value of x is 13.84  degree

Following are the simplification to the given equation:

Given:

[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]

To find:

simplify=?

Solution:

Using formula:

[tex]\to (a^2-b^2)= (a+b)(a-b)[/tex]

[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]

In the numerator part common the value 4x and in the denominator we common the value 2 then:

[tex]\to \frac{4x^2+ 4x}{2x^2-2}= \frac{4x(x+ 1)}{2(x^2-1)}\\[/tex]

               [tex]= \frac{4x(x+ 1)}{2(x^2-1^2)}\\\\= \frac{4x(x+ 1)}{2(x-1)(x+1)}\\\\= \frac{4x}{2(x-1)}\\\\= \frac{2x}{(x-1)}\\\\[/tex]

Therefore, the final answer is "[tex]\frac{2x}{(x-1)}\\\\[/tex]"

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The correct answer is (2 x)/(x - 1).

To simplify.

(4 x²+ 4 x)/(2 x²-2) = 4 x(x + 1)/2(x² - 1)

By this formula

(x² - 1²) = (x + 1)(x - 1).

4 x(x + 1)/2(x + 1)(x - 1) = (2 x)/(x - 1).

Therefore, simplification of (4 x²+ 4 x)/(2 x²-2) is  (2 x)/(x - 1).

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Answer:

B. 16,000 pencils

Step-by-step explanation:

3,848 * 4 is 15,392

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because area of a circle = πr2. in this case 12 is a diameter and 6 is radius because u have to half the diameter to work work out the radius. use the equation and u will get the answer which is C.

hope this helps u understand :)

Answer:

area of triangle

90⁰+60⁰+x = 180⁰

150⁰ +x = 180⁰

x = 30⁰

Step-by-step explanation:

1/2 × base × heinght

1/2 × 30⁰ × 90⁰

15 × 90

1350 ft² is area of triangle

Answer:

A = 66 m²

Step-by-step explanation:

The figure is composed of 2 rectangles.

area of lower rectangle = 8 × (10 - 7) = 8 × 3 = 24 m²

area of upper rectangle = 6 × 7 = 42 m²

total area A = 24 + 42 = 66 m²

Answer:

Distance cover by Jodie = 1 kilometer

Step-by-step explanation:

Given;

Speed of Jodie = 6 kilometer/ hour

Total time Jodie ran = 10 minutes

Find:

Distance cover by Jodie

Computation:

Total time Jodie ran = 10 minutes = 10 / 60 = 0.1667 hour

Distance = Speed x time

Distance cover by Jodie = Speed of Jodie x Total time Jodie ran

Distance cover by Jodie = 6 x 0.1667

Distance cover by Jodie = 1.002

Distance cover by Jodie = 1 kilometer

Answer: 10.3

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Let's call the aces for hearts, diamonds, clubs, and spades. So,  are red and [tex] c, s[/tex] is black.

Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple

There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favor to deduce the probability of winning:

If we want a player to draw two cards of the same color, the following couples are good:

so 8 possible couples over 16. This means that a player's probability of drawing two cards of the same color is 8/16 = 1/2.

Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:

which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.

Answer:

Option A is correct

Step-by-step explanation:

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