Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)

Step-by-step explanation:

Hope it will help you...

Answer

Well I’d distribute first

So if simplified you’d get

6x-9x+12=13

-3x+12=13

-3x=1

x= 1/-3

X is - 1/3

Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

Step-by-step explanation:

x = 3y

x + y = 180°

3y + y = 180° ⇒ y = 45° = a

x = 3( 45° ) ⇒ x = 135° = b

The sizes of angles represented by a and b​ are 45 and 135 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that

x = 3y

Since we know that the linear pair is

x + y = 180°

Therefore, 3y + y = 180°

y = 45° = a

x = 3( 45° )

x = 135° = b

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

As x goes up, so does y. That immediately makes B incorrect.

The others (C and D) are incorrect because they points are not plotted correctly.

That leaves you with A.

Answer: C = 6.5l

Cost is $6.50 per yard.

Step-by-step explanation:

2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.

Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81

Joy wants 8 feet of fabric. First convert this to meters which would be:

= 8 feet x 0.305 meter per feet

= 2.44 meters

The cost of this fabric would therefore be:

= Cost per meter x Number of meters

= 1.15 x 2.44

= $2.806

= $2.81

In conclusion, the cost of the fabric would be $2.81.

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Answer:

Step-by-step explanation:

Given,

Perimeter of an equilateral triangle = 14.4 cm

As we know,

Perimeter of an equilateral triangle = 3 × sides (s) = 3s

Therefore,

By the problem,

=> 3s = 14.4 cm

[tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]

=> s = 4.8 cm

Hence,

The required side of the given equilateral triangle is 4.8cm(Ans)

The quadrilateral with vertices at the  points: (0,0), (3,2), (6,0), (3,-2) is a square

The vertices (or coordinates) of the quadrilateral is given as:

[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]

Calculate the distance between subsequent points, using the following distance formula

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]

[tex]BC = \sqrt{13}[/tex]

[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]

[tex]CD = \sqrt{13}[/tex]

[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]

[tex]DA = \sqrt{13}[/tex]

Notice that the sides of the quadrilateral are congruent.

Hence, the quadrilateral is a square

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Answer:

it's not a

Step-by-step explanation:

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

Answer:

Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:

f(x) = 3x4 − 5x3 − x2 − 8x + 4

Signs are: + - - - +

There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)

For negative roots, we first invert all the odd-powered terms in f(x):

3x4 + 5x3 − x2 + 8x + 4

Signs are: + + - + +

There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.

Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:

2 positive, 2 negative, 0 complex

2 positive, 0 negative, 2 complex

0 positive, 2 negative, 2 complex

0 positive, 0 negative, 4 complex.

Therefore we can have either 0, 2, or 4 complex roots.

The correct answer is the last choice.

The expression for the total number of fish and plants in all the sets is 24x + 18y.

The given parameters:

Let the total number of fish and plants = T

Let the total number of fish in all the sets = 24x

Let the total number of plants in all the sets = 18y

The expression for the total number of fish and plants in all the sets is calculated as follows;

T = 24x + 18y

Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.

The complete question is below:

Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set

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Answer:

19

Step-by-step explanation:

Based on what I understood from your question,

Value of x has been given = 12

So if we substitute or place that value in the given equation x + 7

=> 12 + 7 = 19

Hope I got it right.

[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]

trust my answer like it

Answer:

Preserve angles

Step-by-step explanation:

i think sorry if its wrong

Answer:

to preserve angles

Step-by-step explanation:

Patrick is correct, since the two parts of the statement are equal.

From the question,

Patrick said that the product of any number and 4 is always double the product of that number and 2. We are to investigate if Patrick is correct.

First, let the number be x,

From the first part of the statement

The product of any number and 4

That is,

4 × x = 4x

And

The second part of the statement,

double the product of that number and 2

That is,

2(x × 2) = 2(2x)

Now, we will investigate if

4x = 2(2x)

Expand the right hand side of the equation

That is,

4x = 2 × 2x  

Then, we get

4x = 4x

Since the two parts of the statement are equal, then Patrick is correct.

Hence, Patrick is correct, since the two parts of the statement are equal.

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Answer:

720 ways

Step-by-step explanation:

Assuming order doesn't matter, there are [tex]6!=6*5*4*3*2*1=720[/tex] ways to arrange six trophies on a shelf.

Answer:

64 in 2 is it the answers im not shure

Answer:

9 kg of tomatoes

Step-by-step explanation:

Cost of 40 kg of tomatoes = $200

Cost of 1 kg of tomatoes = 200/40 = $5

For $45, we get x kg of tomatoes,

kg       $

1          5

x         45

=> 45*1/5 = x kg (by cross multiplication)

=> 45/5 = x kg

We get 9 kg of tomatoes for $45.

Hope you understood!

Answer:

(9 Kg) You can get 9 kilograms of tomato's with 45$

Step-by-step explanation:

Answer:

6 13/28

Step-by-step explanation:

Hope this helps!

When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.

Step-by-step explanation:

Given:

Find cost price Cp first:

To find the percentage profit divide the profit by the cost price and multiply by 100%:

Answer: u < 6

Step-by-step explanation: 2 + u < 8

u < (8-2)

u < 6

Step-by-step explanation:

We know that in kinematics we can write the formula for uniformly accelerated bodies:

s = 1/2 a t^2 + v0 t + s0

In our case s0 (initial deployment)  = 0m and v0 (initial velocity) = 0

So:

s = 1/2 a t^2

Now we isolate t:

t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]

All proportionalities are obvious.

Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.

Answer:

Answer: 375 adult tickets were sold and 125 children tickets were sold.

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