How do you find the sides of a triangle given the vertices?

Answer:

1

Step-by-step explanation:

Because the shape divided has to create another shape and for 1 it's an oval at the beginning and then after the lines of symmetry go through its seen as 8 triangles.

Step-by-step explanation:

the point-slope form is

y - y1 = m(x - x1)

m is the slope, (x1, y1) is the given point.

so,

y - -1 = 2(x - 6)

y + 1 = 2(x - 6)

227 18-inch cubes can fit inside the rectangular prism.

You may calculate how many 18-inch cubes can fit within a rectangular prism by dividing the rectangular prism's overall volume by the volume of a single 18-inch cube.

A rectangular prism's volume can be calculated using the formula length x width x height. In this instance, the dimensions are 312 inches long, 212 inches wide, and 3 inches high. As a result, the rectangular prism has a volume of 1,326,720 cubic inches (312 x 212 x 3).

A single 18-inch cube has a volume of 18 x 18 x 18 = 5832 cubic inches.

We divide the volume of the rectangular prism by the volume of a single 18-inch cube to get the number of 18-inch cubes that can fit inside: 1,326,720 / 5832 = 227.

Therefore, the rectangular prism can accommodate 227 18-inch cubes.

Please take note that this is an estimate and that there will not be enough room in the prism to fit 227 cubes exactly.

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Answer:

(1/2) (5 - m) or 1/2 * 5 - m or in word form, one half times five minus m

Step-by-step explanation:

Hope it helps! =D

Answer:

u < -5

Step-by-step explanation:

-2u > 10 (Divide both sides by -2)

u > -5 (Change the greater than sign to a less than sign since we divided by a negative number)

Final Answer: u < -5

The inequality is x ≤ 5.09, where x is the number of outfits. Rashon can buy at most 5 outfits while staying within his budget.

To determine the number of biking outfits Rashon can buy while staying within his budget, you can set up an inequality using the information provided.

First, calculate the total cost of the reflectors and gloves:

3 reflectors × $10.78 + $32.64 = $38.34 + $32.64 = $71

Then, subtract the cost of the bicycle, reflectors, and gloves from Rashon's budget: $780 - $481.28 - $71 = $227.72

Now, you can use this remaining amount to determine the number of biking outfits Rashon can buy.

Let x be the number of outfits he can buy

You can set up an inequality as follows:

44.95x ≤ $227.72

Dividing both sides by 44.95:

x ≤ 5.09

However, since the number of outfits is an integer, he can only buy 5 outfits at most.

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The possible rational roots of x³ - x² - 10x - 8 = 0 are -2, -1, and 4.

In mathematics, a root of an equation is a value of the variable that makes the equation equal to zero.

For example, in the equation x² - 4 = 0, the roots are 2 and -2, because when x = 2 or x = -2, the equation is satisfied (2² - 4 = 0 and (-2)² - 4 = 0). In other words, 2 and -2 are the values of x that "cancel out" the equation.

For a polynomial equation, such as x³ - x² - 10x - 8 = 0, the roots are the values of x that make the polynomial equal to zero. In this case, the roots are the values of x that satisfy the equation x³ - x² - 10x - 8 = 0.

The possible rational roots of x³ - x² - 10x - 8 = 0 are the integers that divide 8 and -8 and are also factors of -1. Since 8 and -8 are divisible by 1, 2, 4, and 8, the possible rational roots of the equation are -1, -2, -4, -8, 1, 2, 4, and 8. But among these, only -2, -1, and 4 makes the equation equal to zero.

Hence, -2, -1, and 4 are the possible rational roots of x³ - x² - 10x - 8 = 0.

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Answer:

2 and 4

Step-by-step explanation:

The difference of 4 and 2 is 2 because 4-2=2, and this matches the first part of the question. 4+2=6, and this is true because it matches the second part of the question. Hope this helps and please mark brainliest! :D

Set each component to 0 and solve for x to discover the roots, or solutions, of the polynomial equation P(x) = 0. Factor the polynomial equation to find the solution. Set each factor to 0. 2x4 = 0 or (x - 6) = 0 or (x + 1) = 0 Determine x.

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.

Here,

By setting each component to 0 and solving for x, you may obtain the roots, or solutions, of the polynomial equation P(x) = 0. Factor the polynomial equation to solve it. Set each component to zero. 2x4 = 0, (x - 6) = 0, and (x + 1) = 0. Calculate x.

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So,  the area of the triangle is 12 square inches.

In a two-dimensional plane, the area of a triangle is the region enclosed by it. A triangle, as we all know, is a closed form with three sides and three vertices. Thus, the area of a triangle is the total space filled by the triangle's three sides. The typical formula for calculating the area of a triangle is half of the product of its base and height.

The area of a triangle can be found using the formula: (1/2) * b * h

Given that b = 3 in. and h = 8 in., the area of the triangle would be:

(1/2) * 3 * 8 = (1/2) * 24 = 12 square inches.

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Answer:

Step-by-step explanation:

x'=x+10,y'=y+1

so,the x' in D' is -2+10 = 8, y' in D' is 7+1=8

then, the D' is (8, 8)

Answer:

y=-8x+9

Step-by-step explanation:

8x+y=9

(subtract 8x  on both sides of the equation)

y=-8x+9

Answer:

Below

Step-by-step explanation:

This is a right traingle with legs 300 and 2250

Tangent = opp leg / adjacent leg

Arc tan (opp / adj) = arctan (300/2250) = 7.6°

The equation of line that passes through (6,0) and has a slope of -5/6 is y = (-5/6)x + 5.

The point-slope form is expressed as;

( y - y₁ ) = m( x - x₁ )

Where m is slope, x₁ and y₁ are the coordinates of the point .

Plug the slope m = -5/6 and point (6,0) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - 0 ) = (-5/6)( x - 6 )

y - 0 = (-5/6)x + (5/6)6

y = (-5/6)x + 5

Therefore, the equation of the line is y = (-5/6)x + 5.

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Answer:

A. C. And D.

Step-by-step explanation:

I searched it up for you, cause... I'm not good at this XD. I hope this helps :D

Checking nonzero rows in the matrix is the first step in determining whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.

What does matrix mean?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The elements, or entries, of the matrix are the integers.

               In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

What are types and a matrix?

The dimensions or size of a matrix are determined by these rows and columns. There are several different kinds of matrices, including row matrices, column matrices, null matrices, square matrices, diagonal matrices, and upper and lower triangular matrices.

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Answer:

First, you have to check the nonzero rows in the matrix to determine whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.

Step-by-step explanation:

What is a matrix?

A matrix is a collection of numbers that are arranged in a row and column format in a rectangular or square form depending on the size of their rows and columns.

1. Addition: Any numbers of the same index can be added.

2. Subtraction: Any numbers of the same index can be subtracted.

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Answer:

about 91 m high.

Step-by-step explanation:

I have measured them as best I can on my computer screen.

The tower is 14 mm high and the tree is about 91 mm high on the enlarged image.

That makes the tree about 91 m high.

The cost of each of the favors is of $5 and the required equation is 8f+265 = 305

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.

The addition of 8 favors increase the cost of the party by $40

The equation that can be used to find the number of favors =

8f+265 = 305

Solving for f,

8f = 40

f = 5

Hence, the cost of each of the favors is of $5.

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John's house is 7 + 5 = 12 miles away from Rick's house in the east-north direction. John's house is 13 miles from Rick's house.

To solve this problem use Pythagoras theorem. Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

a² + b² = c²

c is the shortest distance or hypotenuse.

Distance of John's house from Rick's house  

= [tex]\sqrt{(7+5)^2+5&^2}[/tex]

= [tex]\sqrt{12^2+5^2}[/tex]

= [tex]\sqrt{144+25}[/tex]

= [tex]\sqrt{169}[/tex]

= 13 miles

So, John's house is 13 miles from Rick's house.

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By Pythagoras theorem, The length of MN=5 units and that of LN=4.33 units.

 is the formula for Pythagoras' theorem. The right-angled triangle's longest side, or c, is used in this equation. The hypotenuse is another name for this line. The other two sides of the triangle are shown by letters A and b.

Since, it is a right angle triangle, we can use Pythagoras theorem.

cos 60=base/hypotenuse

1/2=2.5/Hypotenuse

Hypotenuse=2*2.5

Hypotenuse=MN=5 units.

now,

sin 60=perpendicular/hypotenuse

[tex]\sqrt{3}/2=LN/5\\[/tex]

LN=4.33 units.

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Answer:

B' (- 1, - 2 ) , C' (0, - 8 )

Step-by-step explanation:

A (1 , - 4 ) → A' (- 3, - 5 )

1 → - 3 in the x- direction means subtract 4 from the original x- coordinate

- 4 → - 5 in the y- direction means subtract 1 from the original y- coordinate

the translation rule is then

(x, y ) → (x - 4, y - 1 ) , then applying this

B (3, - 1 ) → B' (3 - 4, - 1 - 1 ) → B' (- 1, - 1 )

C (4, - 7 ) → C' (4 - 4, - 7 - 1 ) → C' (0, - 8 )

The exact representation of surveying drama club is by second sampling method.

Thus correct option is B .

Given, Selling tickets to the school play .

Systematic random sampling is known to be a type of random sampling technique that needs the selection of samples  using a system of intervals in a specific population.

In Systematic Sampling second sampling method is used. Grounded on the fact that the system of sampling is one that's drawn from the population, it's said to be an effective system of sampling.

Hence option B is correct .

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There have been 3 sides and 3 angles in every triangle, some of which might be the same. The hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides, are given specific names in the case of a right triangle.

A triangle is a three-sided geometry shape with 3 vertices. The internal angle of the triangle, which is 180 degrees, is built. It means that a triangle's internal angles sum to 180 degrees.

It is the polygon with the fewest sides. Or to put it another way, a triangle is a three-sided, two-dimensional shape whose internal angles are 180°.

Triangles are primarily divided into six varieties based on the angles and side length.

The triangles are further divided based on the angles into:

(1) Acute Angle Triangle

(2) Obtuse Angle Triangle

(3) Right Angle Triangle

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The perimeter of the rectangle when ℓ = 6.2 units and w = 3.5 units is 9.4 units

The perimeter of a two-dimensional shape is the total length of the outline.

Since the perimeter of a rectangle can be found using the expression 2ℓ+2w

when ℓ=6.2 units and w = 3.5 units, you can get the perimeter by substituting ℓ=6.2 and w = 3.5 into the expression 2ℓ+2w. That is:

perimeter of rectangle = 2ℓ+2w

perimeter of rectangle = 2×6.2 + 2×3.5

perimeter of rectangle = 12.4 + 7

perimeter of rectangle = 19.4 units

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One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.

A sequence is a group of numbers, or "terms," as 2, 5, 8. Some sequences can be made endlessly long by taking advantage of a specific pattern they follow. Add three and use the example of 2,5,8 to continue the series. There are formulas there that demonstrate where to look for words within a sequence. A collection of objects that are in some order is referred to as a sequence informally in mathematics. It has parts, much like a set. The entire, potentially infinite number of ordered objects is referred to as the sequence's length. putting two or more items in a sensible order. Chronological.

given

One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.

When counting by skips, you always start with the number you're counting by and keep adding it.

For instance, if you skip count by 2, you would get 2, 4, 6, 8, 10, etc.

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Ordered pairs are also very well known as coordinates.

An ordered pair is a set of two numbers that are used to describe the position of a point on a coordinate plane.

The first number in the ordered pair is called the x-coordinate and the second number is called the y-coordinate. The x and y coordinates represent the horizontal and vertical positions, respectively, of a point on a coordinate plane.

For example, (3,4) is an ordered pair. Here, 3 is the x-coordinate and 4 is the y-coordinate. Point (3,4) is located 3 units to the right of the y-axis and 4 units above the x-axis on a coordinate plane.

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Answer:

x = - 1

Step-by-step explanation:

Given:

8(x-10)=-88

Solve:

8(x-10)=-88

Using the distributive property.

How to use distributive property:

Multiply the outside number by the inside parenthesis numbers.

Like this;

8x - 80 = -88

Now add 80 to both sides:

8x - 80+80 = -88+80

8x = -8

Divide both sides by 8:

x = -1

Check:

We can substitute x which is -1 into the equation;

8(-1-10)

8*((-1)-10)

= -88

Hence, x = -1

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The value of angle D, angle E, angle F are 48° , 84° and 48° respectively

An isosceles triangle is a triangle with two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

Since E is not equal to F then we can possibly say F = D since the triangle is an isosceles triangle.

Therefore :

180 = 5x+59 + 2x+38 + 2x + 38

180 = 9x + 135

9x = 180-135

9x = 45

x = 5

therefore angle E = 5×5 + 59 = 25+59 = 84°

angle D = F = 2×5 + 38 = 10 + 38 = 48°

therefore D = 48°, E = 84°, F = 48°

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