Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected quadrilateral a b c d is then translated three units to the right and third and two units up to form quadrilateral a quotation b quotation quotation see quotation

Answer: 5/4

Step-by-step explanation:

The slope formula is [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]. This is basically the change in y over change in x.

Apply the formula to get: [tex]\frac{5--2}{6-2}[/tex].

Simplify it to get: [tex]\frac{5}{4}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

[tex](x',y') = (-x,y)[/tex] (Eq. 1)

ii) Translation three units in the -y direction:

[tex](x'',y'') = (x', y'-3)[/tex] (Eq. 2)

iii) Translation four units in the -x direction:

[tex](x''',y''') = (x''-4, y'')[/tex] (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) [tex]D(x,y) = (-1, 4)[/tex] Given.

2) [tex](x',y') = (1,4)[/tex] By (Eq. 1)

3) [tex](x'',y'') = (1, 1)[/tex] By (Eq. 2)

4) [tex]D'(x,y) = (-3,1)[/tex] By (Eq. 3)/Result

Answer:

D

Step-by-step explanation:

I hope this helps you out!

Answer:

all equilateral triangle’s can be mapped onto each other using dilations.

Step-by-step explanation:

Because you can dilate or increase the size and scale the triangle about a certain point so if you do it correctly, this can be done with just a dilation.

Also an equilateral triangle is defined as a triangle where all the sides are congruent in length. This does not mean that all equilateral triangles are congruent (Do not get confused with D) to each other since size is the undefined variable so all equilateral triangles are proportional which means that they always have a ratio between them depending on the scale factor.

For example, let's say I have an equilateral triangle with a side length of 2, this means that all the sides must have a length of 2, but I can also have an equilateral triangle with a side length of 3, which means that all the sides will have that length for that triangle.

2 ≠ 3, but there is always a conversion factor between the side lengths. In this case a scale factor of 3/2 from the triangle with a side length of 2 to the one with a side length of 3. And a scale factor of 2/3 going from the triangle with a side length of 3 to the triangle with a side length of 2. Because all the sides are congruent, the angles must all be 60° degrees because individual side proportions defined by trigonometry are based on angles and sides. Thus, the angles are also affected due to the change in ratio.

Answer:

2m + 20

Step-by-step explanation:

Given that:

Cost per meal = m

Tip left = $10

Total cost for each person :

m + 10

Total amount spent by the two :

2(m + 10)

2m + 20

Answer:

[tex]y = {60}^{o} [/tex]

Step-by-step explanation:

From the markings in the diagram, both triangles are equilateral and each angle in an equilateral triangle is 60°

Answer:

C

Step-by-step explanation:

Not all seventh graders will bring a lunch too school, be in the library, or be in a pre-algebra class, but its reasonable to assume that most will enter the school at the beginning of the day.

Answer:

C.surveying every fifth seventh grader entering the school at the beginning of the school day

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

x - 5 = 15

x +5 = +5

x = 20

Answer:

20

Step-by-step explanation:

if u go on your calculator there is a math button click it and go to numrical equations and type it out the first block is the numbers and stuff in front of the equal sign and the second block is after it

Answer:

1

Step-by-step explanation:

k=1

the value of k is 1

hope this helps ya!

Answer:

61x over 3

=16? on a graph

Step-by-step explanation:

Here is a huge hint:

sin(3x) = 3 sin (x) - 4(sin x)^3

sec (x) = 1/sin(x)

Take it from here.

The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.

Given is the equation -

sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)

We have the following equation -

{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)

Now, we know -

sin3x = 3 sin x - 4 sin³x

So, we can write -

(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)

sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}

(3 - 4sin²x) = 4cos²x - 1

3 + 1 = 4cos²x + 4sin²x

4 = 4(cos²x + 4sin²x)

4 = 4

1 = 1

LHS = RHS

Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

134

Step-by-step explanation:

Its 134, i did the math and my old answer had the explanation, but someone deleted it.

Answer:

Yes, its a function

Step-by-step explanation:

Given :

Customers can  buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of  windflower bulbs and 5 packages of crocus bulbs for a total of $145.

Shayna sold 3  bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121.

To Find :

The cost of one bag of windflower bulbs.

Solution :

Let, cost of one bag of windflower bulbs and crocus bulbs is x and y.

Converting given statement to mathematical equation, we get :

5x + 5y = 145

x + y = 29    ...1)

and

3x + 5y = 121    ...2)

Solving equation 1 and 2, we get :

3( 29 - y ) + 5y = 121

87 - 3y + 5y = 121

2y = 34

y = 17

and x = 12

Therefore, cost of one bag of windflower bulbs is $12 .

Hence, this is the required solution.

Answer:

shade the number line to the left of the open circle

Step-by-step explanation:

x is less than - 2, so it could be any number lower than -2. for example, -3, -4, -5, etc.

Answer:

A. shade the number line to the left of the open circle

Step-by-step explanation:

Answer:

m∠Z < m∠Y

Step-by-step explanation:

m∠Z < m∠Y

The inequality that relates the two angles in triangle XYZ is m∠Z < m∠Y

From the question, we have:

This means that, the angle at point Y is greater than the angle at point Z

i.e. m∠Y > m∠Z

Rewrite the inequality as:

m∠Z < m∠Y

Hence, the inequality that relates the two angles in triangle XYZ is m∠Z < m∠Y

Read more about angles at:

https://brainly.com/question/14362353

Answer

the x intercept is (-8,0)

Step-by-step explanation:

Answer:

x=74 degrees

Step-by-step explanation:

the sum of angles of triangle=180 degrees

121+y=180 ( the sum of the linear angles is 180 degrees)

y=180-121

y=59 degrees

x+59+47=180

x+106=180

x=180-106

x=74 degrees

Answer:

B

Step-by-step explanation:

Hope this help

Answer: B

B.) 3(3) + 0.75(2) = (3 + 0.75)x

Step-by-step explanation: i hope this helps :)

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

13x - 11 + 4x + 1 = 18x - 15 add like terms

17x - 10 = 18x - 15

- 10 + 15 = 18x - 17x

5 = x

measure of angle A 13x - 11 ➡ 13 × 5 - 11 = 54°

measure of angle B 4x + 1 ➡ 4 × 5 + 1 = 21°

measure of angle C 18x - 15 ➡ 18 × 5 - 15 = 75°

Answer:

-0.3125

Step-by-step explanation:

5k^-4 when k = -2

~Substitute

5(-2)^-4

~Take the exponent

5(-0.0625)

~Multiply

-0.3125

Best of Luck

Answer:

3

Step-by-step explanation:

2 - -1= 3

5-4 = 1

3/1 = 3

Answer:

1. +12x and 15

2. 14x

3. 2

Step-by-step explanation:

Step 1: Distribute -3

To distribute -3, you would multiply both -4x and -5 by -3, changing them to 12x and 15

Step 2: Combine 12x and 2x

Then you would combine like terms, meaning that you would add 12x and 2x, creating 14x.

Step 3: Combine 15 and -13

You would finish combining like terms by adding 15 to -13, creating 2

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A kilogram is the same as 1,000 grams.

HTH :)

Answer:

No, Each input has one output

Step-by-step explanation:

A circle can't be a function because of its radius and diameter, its not linear so  it might have the same input or output. Therefore, you need a line to have a linear function .!

Pls mark brainiest!

I hope you get this right!

Answer:

#4. linear

#5. quadratic

#6. exponential

#7. inverse

9514 1404 393

Answer:

  5361 feet

Step-by-step explanation:

The tangent of the angle is the ratio of vertical distance to horizontal.

  tan(25°) = (vertical distance)/(horizontal distance)

  horizontal distance = (2500 ft)/tan(25°) ≈ 5361 feet

Answer:

x=37/20

Step-by-step explanation:

4(2x-7)+3(3x-1)=3(2-x)

8x-28+9x-3=6-3x

17x+3x=6+31

20x=37

Answer:

x = [tex]\frac{71}{3}[/tex]

Step-by-step explanation:

1. Simplify/distribute each side.

[tex]4(2)(-7)+3(3)(-1)=3(2-x)[/tex]

[tex]4(2)(-7)+3(3)(-1)=(3)(2)+(3)(-x)[/tex]

[tex]-56+-9=6+-3x[/tex]

2. Flip the equation around.

[tex]-3x+6=-65[/tex]

3. Subtract 6 to balance the equation.

[tex]-3x+6-6=-65-6[/tex]

[tex]-3x=-71[/tex]

4. Divide each side by 3. We know they are in the same fact family.

[tex]\frac{-3x}{-3} = \frac{-71}{3}[/tex]