solve 1 + cos theta = 2 cos^2 theta

Answer:

The answer is 2 x-intercepts

Step-by-step explanation:

To determine the x-intercepts we set y to zero and solve for x:

y=0

(x-8)(x+3)^2=0

The product of 2 factors is 0 means that one of them must be 0:

x-8=0 ⇒ x=8        →first x-intercept

or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3         →second x-intercept

Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3

Hope this helps :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{{x}^{2} - 6x + 9 }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{{x}^{2} - 3x - 3x+ 9 }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{{x(}^{} x- 3) - 3(x - 3) }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{( x- 3) (x - 3) }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{( x- 3) {}^{2} }[/tex]

[tex]\qquad \sf  \dashrightarrow \: {( x- 3) {}^{} }[/tex]

I hope you understood the procedure ~ let me know if you have doubts ~

Answered by James ~ ( Teeny fr )

well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.

if we take 300 to be the 100%, what is 50 bucks off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7[/tex]

The correct answer is A.

Answer:

Yes the two figures are congruent. They are the same size and shape they just translated it down the coordinate plane.

Step-by-step explanation:

Answer:

y=12x - 192

Step-by-step explanation:

Hi there!

We are given the points (16,0) and (17, 12)

We want to write the equation of the line that contains these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes

[tex]x_1=16\\y_1=0\\x_2=17\\y_2=12[/tex]

Now let's plug these values into the formula to find the slope

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

m=[tex]\frac{12-0}{17-16}[/tex]

Subtract

m=[tex]\frac{12}{1}[/tex]

Divide

m = 12

The slope of the line is 12.

Let's substitute that as m in y=mx+b.

Here is our equation so far:

y=12x + b

Now we need to find b

As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:

Substitute 16 as x and 0 as y.

0 = 12(16) + b

Multiply

0 = 192 + b

Subtract 192 from both sides

-192 = b

Substitute -192 as b in the equation

y = 12x - 192

Hope this helps!

Topic: finding the equation of the line

See more on this topic here: https://brainly.com/question/27568529

Answer:

Minus 9.09090909% decrease

Answer:

5 inches

Step-by-step explanation:

As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:

[tex](height)^2+(radius)^2=(slant\:height)^2[/tex]

[tex]4^2+(6/2)^2=(slant\:height)^2[/tex]

[tex]16+9=(slant\:height)^2[/tex]

[tex]25=(slant\: height)^2[/tex]

[tex]5=slant\: height[/tex]

In conclusion, the slant height of the cone is 5 inches. See below for a visual.

Answer:

88189987766.9087 because x stands for 1000

Answe i

Can't see the picture

Step-by-step explanation:

Answer:

sin45°=x/16

or, 1/√2 = x/16

or, x=16/√2

or, x=8√2 or 11.31 #

Answer:

80

Step-by-step explanation:

25/120 ( since you are trying to find probability of a situation)=.2083

.2083*380=79.167 (just round it off to the nearest 1 which is 80).

Answer:

~Senpi boi here~

Step-by-step explanation:

I belive this is your exlpained answer for this qestion, As figure given in the question. Hers it is step by step:

Hypotenuse = 16 in

Base = 9 in

Putting the values in the formula

Hypotenuse² = Perpendicular² + Base²

16² = 9² + Base²

324 - 81 = Base²

243 = Base²

Base = 13.59 in (Approx)

Therefore the length of the base of the moniter be 15.59 in .

Answer: THIS IS THE CORRECT ANSWER

20"

Step-by-step explanation:

Length = 16" = L

Width = 12" = W

Diagonal   =  [tex]\sqrt{L^{2}+W^{2} }[/tex]

= [tex]\sqrt{16^{2}+12^{2} } = \sqrt{256+144\\\\[/tex]

=  [tex]\sqrt{400} = 20"[/tex]

Answer: (0,3)

Step-by-step explanation:

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 6)

=(0,3)

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i hope this helps, brainliest please <3

If a quadrilateral with four congruent sides is not regular. Then the quadrilateral will be a rhombus.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rhombus, opposite sides are parallel and all sides are equal and each angle is not 90 degrees.

A quadrilateral with four congruent sides is not regular.

If the sides of the quadrilateral are congruent then the quadrilateral must be either square or rhombus.

But if the sides are not regular then it must be a rhombus.

More about the rhombus link is given below.

https://brainly.com/question/22825947

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Answer:

option B is correct.

Option A                                                 Option B                                                    

6x = 66                                                    5x = 30  

x = 66/6                                                    x = 30/5

x = 11                                                         x = 6

Option C                                                 Option D

6x = 1                                                       7x + 2 = 15

x = 1/6                                                      7x = 15 - 2

x = [tex]\sf \sf \frac{1}{6}[/tex]                                                          x = [tex]\sf \frac{13}{7}[/tex]

Answer:

SA = 16 units^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 2

H = 3

SA = (B × B) + 4((1/2)×(B × H))

SA = (2×2) + 4((1/2)×(2×3))

SA = 16 units^2

Answer:

120 are left

Step-by-step explanation:

to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below

300 × 60/100

=3 × 60

=120 seats that are left

please vote brainliest and follow me

You can arrange them in 120 different ways

The easiest way to do this is using factorials!

We are given 5 CDs

We are able to the factorial of 5

It would look like this 5!

5! = 5x4x3x2x1

This equals 120

Answer:

(90 - 2x)°

Step-by-step explanation:

complimentary angles sum to 90° , then

the compliment of 2x° is (90 - 2x)°

Answer:

(90 - 2x)°

Step-by-step explanation:

We say that two angles are complementary if their measures add up to 90°

The  complement of an angle that measures 2x is the angle of measure

(90 - 2x)°

because 2x + (90-2x) = 90

Answer:

1435

Step-by-step explanation:

makatulong ba itong anser ko

The possible coordinates that could be the other endpoints of a line that has a length of 4 units are: (6, 2),  (10, -2), (2, -2), and (6, -6).

On a coordinate plane, the distance between two points is the number of units in between the two points lying on the same axis.

Let's find the distance between (6, -2) and eaxh of the given endpoints tro know which gives us a length of 4 units.

(6, -2) and (6, 2) = |-2 - 2| = 4 units

(6, -2) and (6, 6) = |-2 - 6| = 8 units

(6, -2) and (10, -2) = |10 - 6| = 4 units

(6, -2) and (2, -2) = |6 - 2| = 4 units

(6, -2) and (6, -6) = |-2 - (-6)| = 4 units

(6, -2) and (-2, -2) = |6 - (-2)| = 8 units

(6, -2) and (-10, -2) = |6 - (-10)| = 16 units

Therefore, the possible coordinates of the other endpoint of the line are: (6, 2),  (10, -2), (2, -2), and (6, -6).

Learn more about distance between two points on:

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The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.

The general equation of a circle is given as,

(x-h)²+(y-k)² = r²

Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,

Given that the four points that lie on the circle are  (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.

[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]

Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,

[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]

Hence, the equation of circle A is (x+4)²+(y+2)²=9.

Learn more about Equation of Circle:

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Differentiate x and y with respect to t :

[tex]x = e^{\sec(2t)} \implies \dfrac{dx}{dt} = e^{\sec(2t)} \dfrac{d(\sec(2t))}{dx} = 2\sec(2t)\tan(2t) e^{\sec(2t)}[/tex]

[tex]y = e^{\tan(2t)} \implies \dfrac{dy}{dt} = e^{\tan(2t)} \dfrac{d(\tan(2t))}{dx} = 2\sec^2(2t) e^{\tan(2t)}[/tex]

By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Then

[tex]\dfrac{dy}{dx} = \dfrac{2\sec^2(2t) e^{\tan(2t)}}{2\sec(2t)\tan(2t) e^{\sec(2t)}} = \dfrac{\sec(2t) e^{\tan(2t)}}{\tan(2t) e^{\sec(2t)}} =\dfrac{y \sec(2t)}{x\tan(2t)}[/tex]

and we have

[tex]\log(x) = \sec(2t)[/tex]

[tex]\log(y) = \tan(2t)[/tex]

and the claim follows.

Answer:

[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]

Step-by-step explanation:

the answer is :- .

[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]

Answer:

y=-4(x+2)^2+7

Step-by-step explanation: