Show your work given the rule of (x,y)—->(x-7.5,y+6.8)
Original coordinate (5,3)

Answer:

C

Step-by-step explanation:

Because they are two in a addiction like A+B, but they are elevated to the second.

If the solution was D we would have one square in all the espression.

The expression for missing term is (d - e)². The correct option is (A).

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The 8th step of the problem is given below,

(1 + d²) + (e² + 1) = d² - 2de + e²

Comparing it with the 7th step (√(1 + d²))² + (√(e² + 1))² = ?

It can be found that the missing term is,

d² - 2de + e²

= (d - e)²

Hence, the missing term in the 7th step is given as  (d - e)².

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The percentage of decrease in calories is  33 % .

What is percentage ?

A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given:

Initial caloric intake = 3000 per day

Final  caloric intake =  2010 per day

Therefore percent of decrease in calories = 3000 - 2010 / 3000 x 100

= 33 %

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Explanation:

Refer to the diagram below.

Let's define these two point labels

A = (-9, -10)

B = (-5, -2)

which are the two given endpoints of the segment. Let's add in point C such that

C = (-5, -10)

Notice triangle ABC is a right triangle. The 90 degree angle is at point C.

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

The x coordinates of points A and C are -9 and -5 respectively. This is a gap of 4 units. Split this into 8 pieces to find each is 4/8 = 0.5 units wide. Why 8? Because the "ratio 5 to 3" has a total of 5+3 = 8 parts.

Since the first number of that ratio is 5, we'll move 5 parts to the right of point A. So we'll move 5*0.5 = 2.5 units to the right of A.

We go from A(-9,-10) to D(-6.5, -10)

Take note how the segments AD and DC are in ratio 5:3

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

The y coordinates of B and C are -2 and -10 in that order. This is a gap of 8 units. Split this into 8 equal parts, and each part is 1 unit tall.

Start at point C and move upward 5 of those parts, ie 5*1 = 5 units up. You should arrive at point E(-5, -5) shown in the diagram below.

Then draw a vertical line upward from point D until arriving at segment AB. At the same time, draw a horizontal line from point E until arriving at segment AB. Both approaches should get to point (-6.5, -5) which is the final answer. This is denoted as point F in the diagram below (marked in red).

On simplifying the given equation, the answer is

[tex]\frac{{9x^{2} - 15x^{2} + 4x}}{{x^{2} (x-1)} }[/tex]

Solving a math issue is the same thing as simplifying an equation. You basically strive to write an expression as simply as you can when you simplify it. At the conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to perform.

Finding the value or values that make the equation—or math sentence—true is the process of solving.

[tex]6 + [\frac{x+5}{x^{2}} + \frac{3x - 10}{x-1} ]\\[/tex]

On simplifying it,

[tex]6 + \frac{(x+5)(x-1) + (3x-10x^{2} )}{x^{2} (x-1)} \\\\6 + \frac{x^{2} -x + 5x +3 x^{3} - 10x^{2} }{x^{2} (x-1)} \\\\6 + \frac{3x^{3} -9x^{2} + 4x }{x^{2} (x-1)} \\\\\frac{6x^{3} - 6x^{2} + 3x^{3} - 9x^{2} +4x }{x^{2} (x-1)} \\\\\frac{9x^{2} - 15x^{2} + 4x}{x^{2} (x-1)}[/tex]

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The expressions that can be used to determine the area of the rectangle are:

12 x 7

7 . 10 + 7 . 2

The expressions that can be used to determine the perimeter of the rectangle are:

2 x (12 + 7)

7 + 12 + 7 + 12

2 . 7 + 2 . 12

The expression that cannot be used to find either the area or the perimeter of a rectangle is: 7 + 12

A rectangle is a 2-dimensional quadrilateral with four right angles that sum up to 360 degrees. A rectangle has two diagonals which bisect each other at right angles.

The area of a rectangle is the product of the width and the length.

Area of a rectangle = length x width

12 x 7 = 84 units²

7 . 10 + 7 . 2

70 + 14 = 84

The perimeter of a rectangle is the distance round the rectangle.

Perimeter of a rectangle = 2 x (length + width)

2 x (12 + 7)

2 x 19 = 38 units

7 + 12 + 7 + 12 = 38

2 . 7 + 2 . 12

14 + 24 = 38

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Step-by-step explanation:

you don't know the Pythagoras formula yet ?

this is something you need to remember for life. this you will encounter everywhere (not just in school) :

c² = a² + b²

in a right-angled triangle c is the Hypotenuse (the side opposite of the 90° angle). a and b are the legs of the triangle.

4.

the legs of this right-angled triangle are the pole and the ground distance to the cable fixture on the ground.

the cable itself is the Hypotenuse (as the right angle is the angle between the pole and the ground distance).

so,

cable² = 8² + 6² = 64 + 36 = 100

cable = sqrt(100) = 10 m

5.

here we have a right-angled triangle with the direct distance between the points being the Hypotenuse, and the x and y coordinate differences are the legs.

so, we have

distance² = (3 - -3)² + (0 - -1)² = 6² + 1² = 36 + 1 = 37

distance = sqrt(37)

please note that since we are squaring, the direction of the differences and their signs do not matter. the square will turn positive and negative distances into positive numbers.

 The equation that defines the parabola with vertex at the point and focus at (0,-5) is

y = 20x²

  The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

  The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

In this case we have the vertex of the parabola at the point (0,0) and the focus at the point (0,  -5) this is displaced on the y-axis upward, so the parabola is of the form.

y = x²

  Canonical equation

(y - yo) = 4p(x - xo)

Focus:
f = (0, 0 + p)

(y- 0) = 4*-5(x - 0)²

y = -20x²

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Answer:

625,3125,15625

Step-by-step explanation:

Because it is ×5, so 125×5=625, 625×5=3125...

Answer:

Step-by-step explanation:

calculate the miles with the distance

The value of ((1*2)*3) is 0

From the information given, we have the real number operation as;

(a*b) = (a+b)/ (a-b)

Given the expression;

((1*2)*3)

Now, let's solve the bracket first, we have;

( 1 * 2 )

Where;

a = 1

b = 2

( 1 * 2 )  = ( 1 + 2 ) / 1 - 2

Simplify further

= 3/ -1

= -3

Substitute into the operation;

( -3 * 3)

Where;

a = -3

b = 3

( -3 * 3) = ( -3 + 3) / -3 - 3

Simplify further

= 0/ -6

= 0

Thus, the value of ((1*2)*3) is 0

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The volume of the square pyramid is 32.49 cubic mm.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of cube or cubes.

Given that crystal is cut into a shape formed by two square pyramids joined at the base. Each pyramid has a base edge length of 5.7 mm and a height of 3 mm.

The volume of the pyramid will be calculated as below:-

V = ( L W H ) / 3

V = ( 5.7 x 5.7 x 3 ) / 3

V = 32.49 cubic mm

Therefore, the volume of the square pyramid is 32.49 cubic mm.

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Answer:96

Step-by-step explanation:

Two triangles with three pairs of corresponding congruent angles are congruent: Always TRUE

So, the statement says that:

Therefore, "two triangles with three pairs of corresponding congruent angles are congruent" is Always TRUE.

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The equation of the circle x^2 + (y + 1)^2 = 5 has a radius of √5 and a center located at (0 , -1).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, x^2 + (y + 1)^2 = 5, is in standard form, then

h = 0

k = -1

r = √5

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Answer:

The square root of 48 to the nearest tenth is 6.9

The difference in height between 30 meters up the cliff and 87 meters up the cliff will be 57 meters.

The distance between the albatross flying at 100 meters above the surface of the ocean and the shark swimming 30m below the surface is 130 meters.

It should be noted that the distance in height between 30 meters up the cliff and 87 meters up the cliff will be:

= 87 - 30

= 57 meters.

The distance between the albatross flying at 100 meters above the surface of the ocean and the shark swimming 30m below the surface will be:

= 100 - (-30)

= 100 + 30

= 130 meters

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The polynomial 7x3+2x2y4z has a degree of 7.

The highest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined solely by its variables; coefficients are to be disregarded. The degree of a polynomial is p for an nth degree polynomial function with real coefficients and x as the variable with the highest power n, where n accepts whole integer values (x).

based on the provided statement

Let's add exponents to determine each term's degree.

Degree of 7x³ (= x³) is =3

Degree of 2x²y⁴z (= 2+4+1) is = 7

Among all these degrees, 7 is the highest number and hence the degree of the given polynomial is 7.

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The C-intercept at (0, 180) and r- intercepts at (6, 0), (-6, 0), and (5, 0).

The points on each axis where the function crosses will be the intercepts. Therefore, the p-intercept will be at the point where r = 0, and the r-intercepts will be at the point where C = 0.

We have been given the function as

C(r) = (r-6)(r+6)(r-5)

We have to determine the C-intercept and r- intercepts.

We should plug in 0 for r and solve.

Solving for the C-intercept

Plug in 0 for r.

C(0) = (0-6)(0+6)(0-5)

C(0) = 180

The C-intercept is (0, 180)

Solving for the r-intercepts, we get

Set the function equal to 0.

0 = (r-6)(r+6)(r-5)

Solve for the zeros.

(r-6) = 0 ⇒ r = 6

(r+6) = 0 ⇒ r = -6

(r-5) = 0 ⇒ r = 5

The r-intercepts are (6, 0), (-6, 0), and (5, 0)

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Answer: 12

Step-by-step explanation: You're welcomed

The quotient of the decimal numbers 57.15 and 4.5 is 12.7.

The given decimal numbers are 57.15 and 4.5.

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Here, 57.15/4.5

4.5|57.15|12.7

     57.15
  _______
       0

Therefore, the quotient of the decimal numbers 57.15 and 4.5 is 12.7.

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The answer is a you should contact a financial institution like a bank.

The most common types of financial institutions are commercial banks, investment banks, insurance companies, and brokerage firms. These entities offer a wide range of products and services for individual and commercial clients such as deposits, loans, investments, and currency exchange.

The most common types of financial institutions include commercial banks, trust companies investment banks, brokerage firms or investment dealers, insurance companies, and asset management funds.

Local banks and credit unions usually offer the best rates. Major banks, such as Chase or Bank of America, offer the added benefit of having ATMs overseas.

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The difference is a binomial with a degree of 6.

What is Degree of polynomial?

The highest power of the variable in a polynomial is called the degree of the polynomial.

The polynomials are given as;

(a³b + 9a²b² - 4ab⁵) and (a³b - 3a²b² + ab⁵)

Now, The difference of the polynomial calculated as;

(a³b + 9a²b² - 4ab⁵) - (a³b - 3a²b² + ab⁵)

a³b + 9a²b² - 4ab⁵ - a³b + 3a²b² - ab⁵

12a²b² - 5ab⁵

Hence, Degree of polynomial = 1 + 5 = 6

So, The difference is a binomial with a degree of 6.

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The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

A triangular is a geometry with 3 sides and three angles. The triangle has angles that sum up to 180 °.

In a triangle, the opposing side will be short if the angle is small, while the other side will be longer if the angle is larger.

The sides of the triangle are in ascending order, then we have

WY < YZ < WX < XY < XZ

Then the sequence of the angles is given as,

∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ

The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

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The time that it will take for the object to be 4 feet above the valley floor will be 4 seconds.

It should be noted that the object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-16² +260.

Therefore, the time that it will take for the object to be 4 feet above the valley floor will be:

h=-16² +260.

4 = -16t² + 260

4 + 16t² - 260 = 0

16t² - 256 = 0

Collect like terms

16t² = 256

t² = 256/16

t² = 16

t = ✓16

= 4

The time is 4 seconds.

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Answer:

115-m = Current Sum

Answer:

You would copy the spoon called "1 teaspoon" which is the second spoon and paste it inside the box twice. Then you would copy the third spoon called "1/2 teaspoon" and paste it inside the box once.

Step-by-step explanation:

-

The trapezoid's area is 45cm ².

The measurement that expresses the size of a region on a plane or curved surface is called area.

1. Determine each base's length ( a and b ).

2. Find the height of the trapezoid ( h ).

In the formula for the trapezoid area, substitute these values:

A = [tex]\frac{a+b}{2}[/tex] × h

Given data

Length

a- 5cm

b- 4cm

Height: 10 cm

A = [tex]\frac{a+b}{2}[/tex] × h

A = [tex]\frac{5+4}{2}[/tex](10) 

A =[tex]\frac{9}{2}[/tex](10) 

A = 4.5(10) 

A = 45cm²

The trapezoid's area is 45cm².

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Answer:

1. (3/2)

2. (1/4)

Step-by-step explanation:

6 × ? = 9

÷6      ÷6

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

? = (3/2)

12 × ? = 3

÷12      ÷12

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

? = (1/4)

I hope this helps!

Step-by-step explanation:

9y=-72-4×

put x =1

9y=-72-4×1

9y=-72-4

9y=-76

The simplification of the expression 3(x + 3y) - 5(x -y) is  -2x + 14y.

According to the given question.

We have an expression

3(x + 3y) -5(x -y)

As we know that, the simplification of an expression means to write an equivalent expression which contains no similar terms.

Therefore, the simplificantion of the expression  3(x + 3y) - 5(x -y) is given by

3(x + 3y) - 5(x -y)

= 3x + 9y - 5x + 5y     (by distributive rule)

= 3x - 5x + 9y + 5y

= -2x + 14y                    (adding and subtracting the like terms)

Hence, the simplification of the expression 3(x + 3y) - 5(x -y) is  -2x + 14y.

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