what is the sum of 17 and a difference of 5

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)

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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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

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:

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.

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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Now we have a new proportion that out of 3500 pizzas there are a total of 692 thick crust pizzas

Mancini's  sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust            306

Thick crust             212

Stuffed crust             178

Pan style            191

Based on this information, of the next 3500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

692 thick crust pizzas

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3500 pizzas.

Type of Crust Number Sold

Thin crust            306

Thick crust             212

Stuffed crust             178

Pan style            191

total pizzas  : 1040

Now we must calculate for 3500 pizzas how much would be the total of thick crust pizzas. For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

x = 692

Now we have a new proportion that out of 3500 pizzas there are a total of 692 thick crust pizzas

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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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Answer:

k= 28.875

Step-by-step explanation:

4x+3= 0

4x= -3

X = -3/4

f(X)= 20x³+23x²-10x+k

0= 20(-3/4)³ + 23 (-3/4)² -10(-3/4)+k

20(-27/64)+23(9/16) +30/4+k

-540/64+207/16+7.5+k

-8.4375+12.9375+7.5+k. 0=-28.875+k

k=28.875

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°

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)

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:

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.

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

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 )

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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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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The height of the cylinder is 22 inches.

What is height ?

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.

Height is a measurement of vertical distance, or how high something or someone is (how tall they are) (how "high" a point is). For instance, "That building is 50 meters high," or "An airplane flies around 10,000 meters high."

Height is a basic physical characteristic that is commonly expressed in feet (ft) plus inches (in) in the United States and centimeters (cm) in other countries. The SI unit would be meters since these are length measurements. Remember that x feet plus y inches is typically written as x' y.

Seeing the figure we get to know the measures of cylinder

radius = 8 inches

height = 22 inches

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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

On solving the provided question, we can say that by trigonometry so sin 90 = p/h => z = 11

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

here,

it is a right angled triangle

by trigonometry

so sin 90 = p/h

1 = 11/z

z = 11

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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:

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

RevyBreeze

The three types of coordinate input in AutoCAD are absolute coordinates, relative coordinates, and polar coordinates

Absolute coordinates are based on the origin of the drawing, which is the point 0,0. To specify an absolute coordinate, you enter the X and Y coordinates of the desired point. For example, if you want to specify a point at X=4 and Y=6, you would enter ‘4,6’.

Relative coordinates are based on a point relative to the last point specified. To specify a relative coordinate, you enter the distance in the X and Y directions from the last point specified. For example, if you want to specify a point that is 4 units to the right and 6 units up from the last point, you would enter ‘4,6’.

Polar coordinates are based on a distance and an angle from the last specified point. To specify a polar coordinate, you enter the distance and angle from the last point. For example, if you want to specify a point that is 8 units away at an angle of 90 degrees, you would enter ‘8<90’.

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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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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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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

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:

y=-8x+9

Step-by-step explanation:

8x+y=9

(subtract 8x  on both sides of the equation)

y=-8x+9