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An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x​ + y.
The third side of the same triangle measures 4x​ - 2y.
What are the values of x and y that would keep the triangle​ equilateral?

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Let us create the table from the given mapping

x                  y

2                20

2                40

4                40

3                30

From the table, it is clear that the input x = 2 is repeated twice. In other words, the input x = 2 is duplicated.

As we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the given relation/mapping DOES NOT represent a function.

Determining the domain of a relation:

We know that the domain of the relation is the set of all the x-coordinates of the given points or ordered pairs.

Thus, the domain of the relation in ascending order is:

Domain D = {2, 3, 4}

Determining the range of a relation:

We know that the range of the relation is the set of all the y-coordinates of the given points or ordered pairs.

Thus, the range of the relation in ascending order is:

Domain D = {20, 30, 40}

Answer:

40%

Step-by-step explanation:

40 is 40% of 100, you don't need a calculator for that, so, it's a 40% increase

hope this helps:)

Answer: the awnser is 33 3/4

Step-by-step explanation: im literally doing the same test

The area of a parallelogram can be found by finding the product of its height and base. The area of  the resulting figure is 105/4 sq. ft.

A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.

Each side of the square is given 4 1/2 ft,

And the height of each parallelogram 1 1/2 ft.

Now, the area of square is (side)^2 and the area of parallelogram is height × base.

Thus, area of given figure is given as,

Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)

        = 105/4 sq. ft.

Hence, the area of the given figure is 105/4 sq. ft.

To know more about parallelogram refer to,

https://brainly.com/question/19187448

#SPJ2

Answer:

3

Step-by-step explanation:

Answer:

35.36 i think

Step-by-step explanation:

40%x68=27.2

20%x27.2=5.44

27.2+5.44=32.64

68-32.64=35.36

$35.36

Answer:

4350 in^2

Step-by-step explanation:

hope this helps :)

Answer:

y = x + 1

Step-by-step explanation:

slope/m = -3/3 = -1

b/y-inter = 1

Answer:

Step-by-step explanation:

3x + 4y = - 12 = 0

x + 3y = - 9 = 0

Answer:

840

Step-by-step explanation:

Answer:

840 students have a dog

Step-by-step explanation:

0.60 * 1400=

840 have a dog

extra answer: 560 do not have a dog

Answer: the person has high blood sugar Levels

Step-by-step explanation:

Complete question :

Q11. What is the age of the car you usually drive? (years).

Q12.) About how many times in the past year did you attend formal religious services?

Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).

Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).

Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)

Answer:

Continous, ratio

Discrete, Ratio

Categorical, ordinal

Categorical, nominal

Categorical, ordinal

Step-by-step explanation:

Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The

Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.

The measurement scales include ;

Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.

The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.

The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other

Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :

Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5

1. continuous numerical, ratio

2. discrete numerical, ratio

3. categorical, ordinal or interval

4. categorical, nominal

5. categorical, ordinal or interval

just did the question! hope future students are helped

Answer:

standard form: = -3x7 + y^2 = 12 - x^2

Step-by-step explanation:

Answer:

X>1

Step-by-step explanation:

Answer:

Option C i.e. y = 1/2x + 5 is the correct option.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

A(4, 7)

B(-4, 3)

Determining the slope between A and B

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [3 - 7] / [-4 - 4]    

                 = -4 / -8

                 = 4/8

                 = 1/2

Thus, the slope of the line = m = 1/2

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now substituting m = 1/2 and b = 5 in the slope-intercept form

y = mx+b

y = 1/2x + 5

Therefore, the equation of line in the graph is:

y = 1/2x + 5

Thus, option C i.e. y = 1/2x + 5 is the correct option.

Answer:

too ;long

Step-by-step explanation:

sory lol

Answer:

52653

Step-by-step explanation:

SKFN SNZc ZBSIC HNSDIPBV DVNSBNCNSVB

Answer:

B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/2

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)

Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).

The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

If quadrilateral WXYZ is reflected across  the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

where are the anglessssssssss

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...