Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹÷3⁵÷9³×3​

Answer:

Quadratic formula is the tool for solving for an unknown number (usually x)

Step-by-step explanation:

The formula is below

Answer:

Below.

Step-by-step explanation:

The formula, which gives the solutions of the equation, is

x = [-b ±√(b^2-4ac)]/2a.

- a, b and c are the coefficients of the quadratic equation

ax^2 + bx + c = 0.

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

Answer:

B. Symmetry

Step-by-step explanation:

They are symmetrical, meaning they are mirrored or both look the same.

Hope this helps! :)

Answer:

upper left graph:  y = 3/4x-3

lower right graph:  x = 3

Step-by-step explanation:

Answer:

x = 1

AB = 9

BC = 9

AC = 18

Step-by-step explanation:

Given that B is the midpoint of AC, we can say that

AB = BC

x² + 8x = 4x + 5

subtract (4x+5) from both sides to make the equation equal to 0, enabling us to solve for x

x² + 4x - 5 = 0

Because 5 and -1 add to 4 (the coefficient to x in 4x) and 5 * (-1) = -5 ( the constant), we can factor this out into

(x+5)(x-1) = 0

Therefore, x² + 8x = 4x + 5 can be true at either x=-5. x=1, or both. Plugging these values in the equations to check, starting with x=-5, we get

-5²+8(-5) =4(-5) + 5

-15 = -15

As a line segment cannot have negative length, and  x² + 8x = 4x + 5  is negative when x=-5, x=-5 is not a viable solution

Next, for x=1, we get

1²+8(1) = 4(1) + 5

9=9

Therefore, x=1 is the only solution we have.

We have plugged this in for AB and BC, and 1²+8(1) = 4(1) + 5 = x² + 8x = 4x + 5 =  9 for both AB and BC

Next, AC is simply the sum of the two line segments that make them up, AB and BC, so AC = 9 + 9 = 18

Answer:

11.67 Amperes

Step-by-step explanation:

From Ohm's law,

Ohm's law which state that a current

which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.

I= V/R

Where

I= Current

V= potential difference =35v

R= resistance = 3 ohms

Then substitute the values we have

I = 35 / 3

I= 11.67 Amperes

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

Given

The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].

Suppose the missing corner measures [tex]x[/tex]

So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]

[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]

Therefore, the missing angle is [tex]108^{\circ}[/tex].

Answer:B

Step-by-step explanation:

Answer:

[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

Answer:

P=100(A-R)/RT

Step-by-step explanation:

A-R=PRT/100

100(A-R)=PRT

100(A-R)/RT=P

P=100(A-R)/RT

Answer:

25.9 feet

Step-by-step explanation:

If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle

Therefore we can use the pythagorean theorem to solve this problem

The two legs of the right triangle will be 23 and 12

The formula is a^2 +b^2=c^2

c^2 is the diagonal squared ( the hypotenuse)

So:

12^2+23^2=c^2

144+529=c^2

673=c^2

To find just c we need to find the square root of 673, rounded to the nearest tenth

[tex]\sqrt{673}=25.9[/tex]

(the equation is rounded)

So the diagonal is 25.9

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Answer:

C) 1/3

Step-by-step explanation:

if you have a 6 sided cube you have 1/6 of a chance of landing on any number.

But you only have a 2/6 chance of landing on 5 or greater.

2/6 is also equal to 1/3

Answer:

x= 4/3

y= -8

if you ment 3x + 2y = -12 in the second problem

Step-by-step explanation:

Answer:

x = 42°

Step-by-step explanation:

You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.

96 • 2 + 2y = 360

168 = 2y

y = 84

x is half of y.

84 ÷ 2 = 42

Answer:

[tex]x=42^{o}[/tex]

Step-by-step explanation:

Area of a triangle is 180 degrees

Here both the triangles are same so, form an equation:

[tex]x+x+96=180[/tex]

[tex]2x+96=180[/tex]

[tex]2x=180-96[/tex]

[tex]2x=84[/tex]

[tex]x=84/2[/tex]

[tex]x=42^{o}[/tex]

Answer:

126

Step-by-step explanation:

6 (14 + 7)

6 (21)

126

Answer:

[tex]y=4(3)^{x}[/tex]

Step-by-step explanation:

Let the exponential function is,

f(x) = (b)ˣ

If this function has the base (b) = 3, function will be.

f(x) = (3)ˣ

If this function is transformed by a vertical stretch by a factor of 4,

New function will be,

g(x) = 4(3)ˣ

If the function 'g' is reflected across y-axis, new function will be,

h(x) = g(-x)

h(x) = [tex]4(3)^{x}[/tex]

Therefore, equation of the function will be,

[tex]y=4(3)^{x}[/tex]

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.

Good question. It is supposed to be both the y-intercept and the x-intercept and is the only point on a graph that can be both. Something in wrong in that thing.

Answer:

TRUE

Step-by-step explanation:

The Time of day is skip counting by ten each time

EX: 1000-1010-1020-1030-1040- so on

Answer: square root property

Step-by-step explanation:trust me

Answer:

x < [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

someone answered this and its correct

Step-by-step explanation:

:D

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

Answer:

√2 ft.

Step-by-step explanation:

⇒ Area of square board = 2 ft.²

⇒ (Side of the board)² = 2 ft.²

⇒ Side of the board = √(2 ft.²)

⇒ Side of the board = √2 ft.

Answer:

71. 8

Step-by-step explanation:

volume of a cylinder = 4/ 3 π r² h

=> 4817 = 4/ 3 × 22/ 7 × 4² × h

=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)

=> h = 71.8

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation: