Which of the following is the graph of y=-4 square root x

The third side of the triangle will be less than 35.

A polygon with three angles, sides and angles is called a triangle.

Given that, Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than

We know that, triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, length of the third side < 15+20 < 35

Hence, the third side of the triangle will be less than 35.

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Answer:

£15158.00

Step-by-step explanation:

The profit on the sale of 1 computer is the difference between the selling price and the buying price.

Profit on 1 computer:

£2081.00 - £915.00 = £1166.00

The profit on 13 computers is 13 times the profit on 1 computer.

13 × £1166.00 = £15158.00

Answer: £15158.00

Answer: 1st, 4th, and 5th choices

Answer:

a. 4

b. -2

Step-by-step explanation:

coordinate: (2,0), (0,4)

gradient = 4 - 0 / 0 - 2

 = -2

15 + 25 = 40

10% of 40 = 4

Therefore, Caleb gave $4 to the church!

Hope this helps :D

The perimeter of the sign is 22 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A rectangular school banner has a length of 21 inches and a perimeter of 66 inches.

Let the perimeter of the sign for the length of 7 inches of the banner = x

So, By definition of proportion, we get;

⇒ 21 / 66 = 7 / x

Solve for x;

⇒ x = 7 × 66 / 21

⇒ x = 22

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Reading a math word problem through to the end will help you comprehend what you need to do in order to solve it. After reading it, you may determine which components of the issue that need to be resolved are the most important and which are not.

There are few basic steps to be followed while solving any mathematics problem:

1. Read and understand the problem.

2. Identify what is given and what is needed to solve the problem.

3. Choose an appropriate strategy to solve the problem.

4. Carry out the strategy.

5. Check your answer to make sure it is correct.

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The Correct change to make the Equation correct is Change (x+5) to (x−5).

The Correct option is (C).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

12(2x+6)+4(x+5)=5x−17

28x + 72= 5x-17

23x = 109

x= 4.73

First, change (2x+6) to 12(2x−6).

12 (2x - 6) + 4(x+5) = 5x- 17

24x - 72 +4x +20 = 5x- 17

28x -52 = 5x- 17

23x = 35

x= 1.52

Now, Change (x+5) to (x−5).

12 (2x + 6) + 4(x-5)  = 5x- 17

24x + 72 +4x -20  = 5x- 17

28x + 52  = 5x- 17

23x = 69

x=3

Hence, Change (x+ 5) to (x-5).

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The largest side of the length is 26cm.

Now, According to the question:

Three consecutive even numbers can be expressed in terms of n. If n is an even number then,

(n -2), (n), (n + 2)

are three consecutive even numbers.

Therefore,

(n -2)+ (n)+ (n + 2) = 72cm.

We can simplify so...

3n + 2 - 2 = 72 cm.

3n + 0 = 72 cm.

3n = 72cm.

Divide both sides by 3 to solve for n

n = 24 cm.

24 is an even integer. Input 24 into the original equation.

(n -2)+ (n)+ (n + 2) = 72cm.

(24 - 2) + 24 + (24 + 2) = 72cm

22 + 24 + 26 = 72

72 = 72

Hence, The largest side of the length is 26cm.

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Answer:

x=-3

y=10

Step-by-step explanation:

If Jupiter is about 5.2 Astronomical Units (AU) from the Sun and Neptune is about 30.1 AU from the Sun, Neptune is about 5.79 times far from the Sun as Jupiter.

Therefore the answer is 5.79.

To find how many times as far from the Sun Neptune is as Jupiter, we need to divide the distance from the Sun to Neptune by the distance from the Sun to Jupiter.

Neptune is about 30.1 AU from the Sun and Jupiter is about 5.2 AU from the Sun, so:

= Distance from the Sun to Neptune / Distance from the Sun to Jupiter

= 30.1 / 5.2

= 5.79

So, Neptune is about 5.78 times as far from the Sun as Jupiter.

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The coordinate of the reflection is (-y, -x)

From the question, we have the following parameters that can be used in our computation:

Point = (x, y)

Reflection:  Across the line y=−x

Using the above as a guide, we have the following:

So, we have

Image = (-y, -x)

Hence, the image is (-y, -x)

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Answer

x ≥ 40

Step-by-step explanation:

Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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f(x)=1/2x^2+1/2x-10 in intercept form is (1/2)(x+4)(x-3)

The x-intercepts are x=-5 and x=4.

The vertex of symmetry is (-1/2, -81/8).

The axis of symmetry is:  x = -1/2

A vertical intercept is a point where the graph of a function or relation meets the y-axis of the coordinate system in analytical geometry,

f(x) = 1/2x^2+1/2x-10

=  (1/2)(x² + x - 20)

= (1/2) (x² + 5x - 4x - 20)

= (1/2) { x(x+5) -4(x+5)

= (1/2) (x+5)(x-4)

Hence, Intercept form: f(x) =(1/2) (x+5)(x-4)

The x-intercepts will be where the factors = 0

x + 5 = 0 ⇒x = -5

x - 4 = 0  ⇒ x = 4

Therefore, the x-intercepts are x=-5 and x=4

To find the axis of symmetry, take the average of intercepts (to find the center of parabola)

(-5 + 4)/2 = -1/2

Axis of symmetry ⇒ x = -1/2

To find the vertex, put the axis of symmetry into the equation

f(x) = (1/2)(x + 5)(x - 4) = (1/2)(-1/2 + 5)(-1/2 - 4) = (1/2)(9/2)(-9/2) = -81/8

vertex is  (-1/2, -81/8)

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The x-intercepts, vertex, and axis of symmetry will be - 5 & 4, (-0.50, -10.125), and x = - 1/2, respectively.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

f(x) = (1/2)x² + (1/2)x - 10

2f(x) = x² + x - 20

2f(x) = x² + x + 1/4 - 1/4 - 20

2f(x) = (x + 1/2)² - 81/4

f(x) = 1/2 (x + 0.50)² - 10.125

The x-intercepts are given as,

f(x) = 0

1/2 (x + 0.50)² - 10.125 = 0

(x + 0.50)² = 20.25

x + 0.50 = ± 4.50

x = - 0.50 ± 4.50

x = - 0.50 - 4.50, - 0.50 + 4.50

x = - 5, 4

The equation of the axis of symmetry is given as,

x + 1/2 = 0

x = - 1/2

The graph is attached below.

The x-intercepts, vertex, and axis of symmetry will be - 5 & 4, (-0.50, -10.125), and x = - 1/2, respectively.

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Answer:

Mr. Hurd received a discount of 57% on the trampoline. The cost of the trampoline was $699.99 and he got it for $429.99, resulting in a discount of 57% when rounded to the nearest percent.

Step-by-step explanation:

A statement that correctly compares the measures of center in the two sets of data is: Both the mean and median are greater for Plot A than for Plot B.

The correct answer is an option (A)

Consider plot A.

The data value represented on the dot plot:

3, 4, 4, 5, 5, 6, 6, 7, 7, 10

Using the formula of mean, the mean of Plot A would be:

mean = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10) / 10

mean = 57/10

mean = 5.7

The middle value of the data is: 5, 6

So, the median is:

Median = (5 + 6)/2

            = 11/2

            = 5.5

Consider plot B.

The data value represented on the dot plot:

3, 4, 4, 5, 5, 5, 6, 6, 6, 7

mean = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7)/10

mean = 51/10

mean = 5.1

The middle value of the data is: 5, 6

So, the median is:

Median = (5 + 5)/2

            = 5

Hence, both the mean and median are greater for Plot A than for Plot B.

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The complete question is:

Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.

Answer:

Step-by-step explanation:

A^2 + B^2 = C^2

12^2 + B^2 = 18^2

144 + B^2 = 324

Subtract 144 from both sides

B^2 = 324 - 144

B^2 = 180

[tex]\sqrt{180}[/tex] = 13.416

B^2 = 13.4

Answer:

Step-by-step explanation:

A karate studio offers a 6 week session for

$175. How much would you expect to pay for

a 9 week session?

175 : 6 = 29.16

29.16 x 9 = 262.5

or

175 : 6 = x : 9

x = 175 x 9 : 6

x = 262.5

The area of square 1 is 180 sq cm

The area of a square is calculated with the help of the formula: Area = s × s, where, 's' is one side of the square. Since the area of a square is a two-dimensional quantity, it is always expressed in square units

Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).

Area of square 1 = Area of square 2 + Area of square 3

Area of square 1 = 100 + 80

Area of square 1 = 180cm^2

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By graphing both equations on the same axis and findin where do they intercept, we willsee that the solution is (-2, 6).

Here we have the following system of equations:

y = x + 8

y = -(1/2)x+5

And we want to solve it graphically.

To solve it in that way, we just need to graph both equations on the same coordinate axis and find the ponit where the graphs intercept, that point will be the solution for the system.

The graph of the system of equations can be seen in the image below:

There, we can see that the lines intercept at the point (-2, 6), so that is the solution of our system.

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The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given

area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]

formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]

a = side of triangle

[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]  =  [tex]9\sqrt{3}cm^{2}[/tex]

[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]

[tex]a^{2} = 36\\ a = 6 cm[/tex]

since equilateral triangle all sides are equal

perimeter of triangle = 6 + 6 + 6

= 18cm

the semi perimeter of the triangle = 18 /2 = 9 cm

The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.

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The ratio of the volume of the cone to the cylinder is 1:3.

A cone has a circular base and the base is made of a radius and diameter.

A cylinder is a three-dimensional solid shape that makes of two parallel bases linked by a curved surface.

                   V1=  πr²h

Here,

'r' is the radius of the cylinder

'h' is the height of the cylinder

π is a constant whose value is 22/7.

The ratio of the volume of the cone to the cylinder is

=  (1/3)πr²h :  πr²h

= 1 : 3

So, the ratio is - 1:3.

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The area of the figure given is 49 square feet's.

       ∫dA = ∫∫F(x, y) dx dy

       A =  ∫∫F(x, y) dx dy

Given is a figure as shown in the image attached.

We can write the area of the figure as -

A = A{T} + A{R}

A = (4 x 10) + (1/2 x 6 x 3)

A = 40 + 9

A = 49 square feet's

Therefore, the area of the figure given is 49 square feet's.

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Polynomial factoring is the opposite of polynomial multiplication. A polynomial's leftover will be 0 if it is divided by its factors after factoring.

A multiple is a number that is the result of multiplying the provided number by other numbers, as opposed to a factor, which divides the given number perfectly without leaving a remainder.

When a polynomial f(x) is divided by (x - c), and (x - c) is a factor of the polynomial f(x), the remainder of the division is simply equal to 0. Therefore, if the remainder of a division like the ones mentioned above equals zero.

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The width for the second rectangle which is HIJK will be A. 24 inches.

From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:

= Width / Length

= 12/16

= 3/4

Therefore, the width for the second rectangle will be:

= 3/4 × 3.2

= 2.4

In conclusion, the correct option is A.

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There were 481 people that utilized the public swimming pool that day, including 217 children and 264 adults.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.

given

The number of children =X=217

The number of adults=264

Let say the number of children are denoted by X

Then the number of adults are (481-X)

Price for children =1.25X

Price for adults=2.25(481-X)

Price for children +Price for adults=865.25

1.25X+2.25(481-X)=865.25

Solving for X:

1.25X+1082.25-2.25X=865.25

-X=865.25-1082.25

-X=-217

X=217

The number of children =X=217

The number of adults=(481-X)

The number of adults=(481-217)

The number of adults=264

There were 481 people that utilized the public swimming pool that day, including 217 children and 264 adults.

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