What are the steps in solving rational expressions?

An isosceles triangle therefore has both two equal sides and two equal angles.

What is traiangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the previous illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal. Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg).

An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. Therefore, an equilateral triangle is a specific example of an isosceles triangle that has equal sides and angles on all three of its faces. The isosceles right triangle is yet another unique instance of an isosceles triangle.

The Pythagorean theorem can be used to determine the height of the isosceles triangle shown in figure:

[tex]h = \sqrt{b^2-\frac{1}{4}a^2 }[/tex]

Consequently, the region is given by:

A=1/2ah

A = [tex]\frac{1}{2}a\sqrt{b^2-\frac{1}{4}a^2 }[/tex]

[tex]A = \frac{1}{2}a^2\sqrt{\frac{b^2}{a^2}-\frac{1}{4} }[/tex]

Learn more about isosceles triangle click here:

https://brainly.com/question/1475130

#SPJ4

The center is (6, 1) of the given circle with the equation  x²+y²-12x-2y+12=0.

Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.

A circle is a closed shape that can be created by following a moving point in a plane while maintaining a constant distance from another point.

The Greek word kirks, which means hoop or ring, is whence the word circle gets its form.

So, we have the equation: x²+y²-12x-2y+12=0

Compared to the circle's basic equation:

2 + y² + 2gx + 2fy + c = 0

2g = -12, 2f = -2, c = 12

g = -6, f = -1

Centre = (-g, -f)= (6, 1)

Now, fill in the square:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1

(x - 6)² + (y - 1)² = 25

(x - 6)² + (y -1)² = 52

When compared to the equation for a circle with the centers at (h, k) and radius "r," Centre = (h, k) = (6,1).

Therefore, the center is (6, 1) of the given circle with the equation  x²+y²-12x-2y+12=0.

Know more about circles here:

https://brainly.com/question/24375372

#SPJ4

Correct question:
What is the center of a circle whose equation is x²+y²-12x-2y+12=0?

Answer:

6,1

Step-by-step explanation:

trust me

The range and the domain of the function f(x) =  1 - x^2 is less than or equal to 1 and all values of x are a real number (R).

Domain: x ∈ R

Range: f ( x ) ≤ 1, ∈ R

f ( x ) = 1 − x^2 is defined for all Real values of x, and therefore the domain is all real values ( R ).

x^2 has a minimum value of 0 (for x ∈ R ) and therefore − x^2 has a maximum value of 0 and − x^2 + 1 = 1 − x^2 has a maximum value of 1.

Therefore f (x) has a maximum value of 1 and the range of f ( x ) is ≤ 1.

So, the range of f(x)≤ 1, and the domain is all real values ( R ).

To learn more about the function visit: brainly.com/question/5975436

#SPJ4

The root domain in the DNS system of the Internet is a domain that is indicated by an empty name (i.e., containing no characters).

Each domain is split from the next when you enter a domain name, and there may also be a dot at the end of the name to demarcate the empty name for the root domain. If this dot is present and in its proper location, such as "www.example.com," the domain name is regarded as full (absolute). The name is regarded as relative if there isn't a dot at the end ("www.example" or "www.example.com").

Even if the phrase "root domain" was frequently used, the primary domain name of the website is the one that must be purchased or registered with a TLD extension.

To learn more about microsoft visit:

https://brainly.com/question/26695071

#SPJ4

There will be 35 chocolate bar cut out from the 13-meter chocolate bar.

Division is breaking a number up into an equal number of parts.

Given that, Willy Wonka makes a 13-metre chocolate and the chocolate bar is then cut into 4/11 of a metre.

Number of bars made = 13/4/11 = 35.75 ≈ 35

Hence, There will be 35 chocolate bar cut out from the 13-meter chocolate bar.

For more references on division, click;

https://brainly.com/question/21416852

#SPJ1

The straight line has the equation, y = 5x - 4.

A straight line is made up of an infinite number of points that are joined on both sides of the point.

Any straight line's slope 'm' is given by:

m = y2 - y1 / x2 - x1

In slope-intercept form, a linear equation has the formula y = mx + b. The variables in the equation are X and Y. The values m and b represent the slope (m) of the line and the value of y when x = 0.

The obtained points from the graph are (0,-4) and (1,1)

The slope is ,

m = 1-(-4) / 1-0

   = 5/1

   = 5

Because it intersects the y-axis at the point where the intercept C = -4,

The line's equation will be:

⇒ y = mx + c

⇒ y = 5x + (-4)

⇒ y = 5x - 4

As a result, the equation for the straight line shown below is y = 5x - 4.

To learn more about straight line refer to :

https://brainly.com/question/16934180

#SPJ4

Triangles that are exactly the same in size and shape are said to be congruent. Two triangles are said to be congruent when their corresponding sides and angles are also congruent.

What is Traingle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Using the Triangle Sum Theorem, we can determine the third angle in a triangle when only two angles are known.

The two angles' combined angles are subtracted from 180 degrees.

The diagram needs a third angle. Try to match the angles and sides of two triangles with the provided information if the congruence statement is not provided in the problem.

List the corresponding vertices in the same order once the vertices of the two triangles have been matched. The congruence assertion reads as follows if vertex A relates to vertex D, vertex B to E, and vertex C to F:

                                △ABC≅△DEF

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles are still congruent even if we flip, spin, or otherwise alter one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

Likely, these two triangles are congruent if we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle.

When two angles and a non-included side in a triangle are congruent to one another, this is the final scenario that results in congruent triangles.

Learn more about Congruent Triangle click here:

https://brainly.com/question/3999145

#SPJ4

The points of concurrency of perpendicular bisectors of triangle is circumcenter.

A point of concurrency shared by three or more lines is referred to as a single point of concurrency. Constructed lines in triangle interiors are excellent places to look for points of convergence.

When you construct a triangle's medians, perpendicular bisectors, angle bisectors, or altitudes, you create a point of concurrency for each of them.

Because the triangle can have four distinct types of line segments, it can have four distinct points of convergence. Each point of concurrency represents the intersection of a particular type of line segment: centroid, circumcenter, incenter, and orthocenter.

Thus, the points of concurrency of perpendicular bisectors of triangle is circumcenter.

To learn more about points of concurrency refer here

brainly.com/question/7165324

#SPJ4

Answer: 12 inches

Step-by-step explanation:

Answer: 15 cm

Step-by-step explanation:

The slope of the line is - 3

The equation of the line is given by,

3x + 1y = 3

y = -3x + 3  ---(1)

The  slope- intercept form of a line is given by ,

y = mx + c    ---(2)

where ,m is the slope

c  is the y intercept

Comparing (1) and (2)

The slope of the line is , m = -3

To learn more about slope, refer:

https://brainly.com/question/3493733

#SPJ4

Answer:

There are 6468 yes votes

Step-by-step explanation:

10164÷(7+4)×7

=10164÷11×7

=924×7

=6468

Answer:

Volume of a pyramid with a sqaure base is 14.5 ft³.

The perimeter of a form represents the gap around it, the vicinity of a form is the surface or flat area that the shape covers (in 2D) even as the quantity of a form is the distance it occupies in actual lifestyles (in 3D).

The perimeter of the base is 8.7ft

The length of the side of the base is:

8.7÷4=2.175 ft

The area of the base

S=(2.175)² =4.730625 ft²

The volume of the rectangular pyramid =

V= 1/3 × area of its base ×area of heights

V = 1/3 × 4.730625 ×9.2

V≅ 14.3 ft³

Hence, the volume of a square base is 14.3 ft³.

learn more about Volume at

https://brainly.com/question/463363

The sale price is $13.5 and discount is $1.5.

A price that is lower than the usual price.

Given that, a store sells a shirt at $15, and there is a discount of 10%.

Price reduced after discount = 10% of 15 = $1.5

Selling price = 15 - 1.5 = $13.5

Hence, The sale price is $13.5 and discount is $1.5.

For more references on discount, click;

https://brainly.com/question/11542646

#SPJ1

Answer:

Step-by-step explanation:

You want the amounts invested in each of two accounts, one earning 7% and the other earning 8% simple interest, when the total investment of $30,000 earns total interest of $2370.

Let x represent the amount invested at 8%. Then the amount invested at 7% is 30000-x. The total interest earned is ...

  0.08(x) +0.07(30000-x) = 2370

  0.01x +2100 = 2370 . . . . simplify

  0.01x = 270 . . . . . . . . subtract 2100

  x = 27000 . . . . . . . multiply by 100

  30000-x = 3000

Deshaun invested $27,000 at 8% and $3,000 at 7%.

Answer:

A

Step-by-step explanation:

The volume in cubic inches is [tex](36)(18)(6)=3888[/tex].

This is equal to [tex]3888/12^3=2.25[/tex] cubic feet.

The destroyed angle is a rectangle specifically a parallelogram also having all the angles equal and equal to 90 degree.

Given, a destroyed angle

A destroyed angle is called a figure in Geometry also known as Rectangle.

A rectangle is a quadrilateral which is specifically a parallelogram also having all the angles equal and equal to 90 degree.

So, A destroyed angle is the quadrilateral which is specifically a parallelogram also having all the angles equal and equal to 90 degree.

Therefore, the destroyed angle is a rectangle.

Hence, The destroyed angle is a rectangle specifically a parallelogram also having all the angles equal and equal to 90 degree.

Learn more about Quadrilaterals here https://brainly.com/question/1190071

#SPJ4

Answer:

Step-by-step explanation:

2/3 = 1/2x

2/3 / 1/3 = x

x = 4/3

Answer: The answer is 4/3

Step-by-step explanation: I have my ways ;>

Answer:

Simplied:

2/3

Step-by-step explanation:

So basically so look at the factors and find that 6 and 9 both divided by 3 so 6/3=2 and 9/3=3

so 2/3

But if you are looking for equivalent:

8/12

6/9= 0.66 repeating which is 60/90 (I think)

HOPE THIS HELPS!!

Applying the exterior angles and triangle sum theorems, the statements that are true are:

C. m∠5 + m∠6 = 180°

D. ∠2 + m∠3 = m∠6

E. m∠2 + m∠3 + m∠5 = 180°

All three interior angles of a triangle is equal to a sum of 180 degrees, based on the triangle sum theorem, while the exterior angle theorem states that the exterior angle of a triangle is equal to the two remote interior angles of the triangle.

Given the image showing the triangles and its exterior angles, the following can be deduced:

m∠2 + m∠3 + m∠5 = 180° [based on the triangle sum theorem]

m∠2 + m∠3 = m∠6 [based on the exterior angles theorem]

m∠5 + m∠6 = 180° [based on the triangle sum theorem]

Therefore, the true statements are:

C. m∠5 + m∠6 = 180°

D. ∠2 + m∠3 = m∠6

E. m∠2 + m∠3 + m∠5 = 180°

Learn more about the exterior angles theorem on:

https://brainly.com/question/29285976

#SPJ1

The linear inequality examples are as follows,

What is linear inequality?

Any two real numbers or two algebraic expressions associated with the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form a linear inequality. For example, 9<11, 18>17 are examples of numerical inequalities and x+7>y, y<10-x, x ≥ y > 11 are examples of algebraic inequalities.

The examples of linear inequalities in two variables are:

3x < 2y + 5

8y – 9x > 10

9x  ≥ 10/y

x + y ≤ 0

To know more about linear inequality, visit;

https://brainly.com/question/21103162

#SPJ4

Answer:

The product of 5 and the sum of 3 and 1 is 20

Step-by-step explanation:

Equation:

5*(3+x)=20

15+5x=20

5x=5

x=1

A dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.

Given that, a dairy farmer wants to mix a 45% protein supplement.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be number of pounds farmer wants to mix a 45% protein supplement.

Here,

0.45x + 0.15(1200-x) = 0.40(1200)

⇒ 0.45x +180-0.15x = 480

⇒ 0.30x=480-180

⇒ 0.30x=300

⇒ x=300/0.30

⇒ x=1000

Here, 45% of 1000

= 450 pounds

15% of (1200-100)

= 0.15×200

= 30 pounds

40% of 1200

= 480 pounds

Therefore, a dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

The inverses of the functions  y= x⁹ and y= x¹¹ are functions.

The inverses of the functions y = x⁴ and y= x⁸ are not functions.

(a )Consider ,the inverse of the function is a function

(2 ) y= x⁹

The inverse of the function is given by,

x = [tex]\sqrt[9]{y}[/tex]  

Here y is an element of the real numbers.

i.e. y ∈R

So, this is a function.

(4) y= x¹¹

The inverse of the function is given by,

x = [tex]\sqrt[11]{y}[/tex]

Here y is an element of the real numbers.

i.e. y ∈R

Similarly , this is a function.

(b ) Consider ,the inverse of the function is a not a function

(1  )y = x⁴

The inverse of the function is given by,

x =  [tex]\sqrt[4]{y}[/tex] (y ≥0)

It is of one- one correspondence,

when y = 4 ,

x = ±√2

Thus, it is not a function.

(3)  y= x⁸

The inverse of the function is given by,

x = [tex]\sqrt[8]{y}[/tex]

Likewise , this is not a function.

To learn more about real numbers , refer:

https://brainly.com/question/17201233

#SPJ4

Answer: 36 cm= 8, 112 cm=1.25, 183.75 cm= 12.25

Answer:

Step-by-step explanation:

i just need the points bro

Answer:

BM = 20m

YZ = 13m

m∠B = 39

m∠M = 34

m∠Y = 107

Step-by-step explanation:

CM = 16m

BM = 20m

YZ = 13m

m∠B = 39

m∠M = 34

m∠Y = 107

May I please have a brainliest? Thank you!

Answer: Put it as a fraction then divide the numerator by the denominator but they have to be divided by the same number. Or just divide.

Step-by-step explanation:

The  value of this expression when w = -5 in w² +  3w - 11 is -1

Algebraic expressions comprises of at least one variable and one operation, it is an expression built up from integer constants, variables, and the algebraic operations

We need to find the value of this expression when w = -5 in w² +  3w - 11

After substituting the value of x as 5, we get the expression as

5² + 3(-5) - 11

25 - 15 - 11

25 - 26

= -1

Therefore, the value of this expression when w = -5 in w² +  3w - 11 is -1

To learn more about algebra refer here

https://brainly.com/question/4344214

#SPJ4

C (3rd Answer)

1st term is 900 and as n increases (number of terms increase), each time it goes down by 50 if n is greater than 1.

The value of function f(1/2) = 9.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between input variables in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x seems to be the input. A function is typically represented as y = f. (x). In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) as well as their outputs (also referred to as the codomain), where each input does have exactly one output and the output could be linked to its input.

Given function f(x) = (4+x)/x

put x = 1/2,

f(x) = (4+1/2)/1/2

f(x) = 9/2/1/2

f(1/2) = 9

Now f(3) = (4+3)/3

=7/3

To know more about function, visit:
https://brainly.com/question/4379163
#SPJ9