I need help with my geometry work!

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

Answer:

260cm^2

Step-by-step explanation:

Given,

Base = 20cm

Height = 13cm

Area of a parallelogram = Base * Height

                                        = 20 * 13

                                        = 260cm^2

Answer:

260

Step-by-step explanation:

Area of parallelogram = base length times height

Given height = 13cm

Given base Length = 20

Area = 20 * 13 = 260

Answer:

D

Step-by-step explanation:     Time Stamp (6  9  10  32)

Easiest way is to graph both equation and look for the intersections  see attached sreen shot

or  solve by substitution

y = 2x

y = x²- 8

2x = x²- 8                  solve for x

0  = x² - 2x - 8          factor

0 = (x - 4)(x + 2)

0 = 0   when x = 4 and -2      

calculate the y values

y = 2x      x = 4

y = 8                              (4, 8)

y = 2x      x = -2

y = -4                            (-2, -4)

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

Answer:

y = [tex]\sqrt{x-5}[/tex]

This is the correct answer because I got it right.

Answer: 804.25

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

Answer:

$102.55

Step-by-step explanation:

70 - 19.95 - (10.50 X 5) + 105 = 102.55

Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

Answer:

three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five

Step-by-step explanation:

Answer:

6x < - 39 3/4

Step-by-step explanation:

Don't forget the square brackets.

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

Work Shown:

[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]

note 1: I added 3 to all sides to undo the "-3" in the middle.

note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).

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

From there, we convert from compound inequality notation to interval notation.

Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]

The square brackets say to include the endpoint.

So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]

x is any real number between -1.8 and 3, including both endpoints.

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

It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.

If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]

Answer:

4

Step-by-step explanation:

Answer:

There are several different means:

Arithmetic: 4 (This is most likely your answer.)

Geometric: 3.0862

Harmonic: 2.3736

Hope that this helps!

The base is 5 units and the height is 4 units.

Hope this helps! :)

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')

Hope this helps!!!

Have a great day!!!

The volume will increase by a factor of eight.

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.

Volume of Cylinder = πr²h

Put, r = 2R, h = 2H

New volume of Cylinder  = π (2R)².2H

                                = π.4R².2H

                                = 8πR²H

                                = 8V

Thus, the volume will increase by a factor of eight.

Learn more about volume of cylinder from:

https://brainly.com/question/16788902

#SPJ2

Answer:

Step-by-step explanation:

the odds are 4 in 11

Answer:

0.8 is the probability that a single detection system will detect a missile attack.

Step-by-step explanation:

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

Work Shown:

Rise = -3

Run = 2

Slope = rise/run = -3/2 = -1.5

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

Notes:

Answer:

m = - 3 / 2

Rise : -3

Run : 2

Step-by-step explanation:

According to the picture,

first coordinate : ( 2 , 1 )

second coordinate : ( 4 , - 2 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( - 2 - 1 ) / ( 4 - 2 )

m = - 3 / 2

If this helps you, please mark brainliest!

The trapezoid has two right angles and at least one obtuse angle, the correct option is B.

A obtuse angle is an angle which is greater than 90° and less than 180°.

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.

Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.

Hence, the trapezoid has two right angles and at least one obtuse angle.

Learn more about trapezoid here;

https://brainly.com/question/1677597

#SPJ2

Answer:

?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tangent from the point outside the circle are equal

WX  = XY

7x - 29 = 2x + 16 {Add 29 to both sides}

7x  = 2x + 16 +29

7x = 2x + 45 {Subtract 2x from both sides}

7x - 2x = 45

5x = 45     {Divide both sides by 5}

x = 45/5

x = 9

WX = 7x - 29

       = 7*9 - 29

        = 63 - 29

WX = 34

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

Rule:

if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)

This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)

We'll focus on the second case sin(A) = cos(90-A)

Simply replace A with x and we have the same idea.

---------

So,

sin(x) = cos(90-x)

cos(90-x) = sin(x)

cos(90-x) = 4/5

You can prove this by drawing out a right triangle as shown below.

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-4) / 13 - (-5)

9 / 18

1/2

y = 1/2x + b

-4 = 1/2(-5) + b

-4 = -5/2 + b

-3/2 = b

Answer:

2/9

Step-by-step explanation:

P=4/18=2/9

Answer:

575 feet

Step-by-step explanation:

the final depth = 725-150= 575

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture