Select the correct answer.
Identify the vertex of the function graphed below.


A.
(0,-2)
B.
(3,1)
C.
(1,1)
D.
(2,2)

Answer:

(3,0)

Step-by-step explanation:

If you use a graphing calculator and connect the two points then you would get (3,0) :))

Answer:

Step-by-step explanation:

a) Together they run:

b) They run 5 days Monday through Friday last week:

Answer:

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

Step-by-step explanation:

Let suppose that center of dilation is located at origin, that is [tex]O(x,y) = (0,0)[/tex]. Vectorially speaking, dilation is described by following expression:

[tex]D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.

[tex]D(x,y)[/tex] - Original point.

[tex]D'(x,y)[/tex] - Dilated point.

[tex]r[/tex] - Dilation factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]r = \frac{2}{3}[/tex], [tex]J(x,y) = (0,0)[/tex], [tex]K(x,y) = (0,6)[/tex], [tex]L(x,y) = (9,12)[/tex] and [tex]M(x,y) = (12,0)[/tex], then the dilated points are, respectively:

[tex]J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)][/tex]

[tex]J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)][/tex]

[tex]J'(x,y) = (0,0)[/tex]

[tex]K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)][/tex]

[tex]K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)][/tex]

[tex]K'(x,y) = (0,4)[/tex]

[tex]L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)][/tex]

[tex]L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)][/tex]

[tex]L'(x,y) = (6, 8)[/tex]

[tex]M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)][/tex]

[tex]M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)][/tex]

[tex]M'(x,y) = (8,0)[/tex]

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

  Option B will be the correct option.

        (a, b) → (ka, kb)

Following the rule for dilation,

If a quadrilateral J(0, 0), K(0, 6), L(9, 12) and M(12, 0) is dilated by a scale factor [tex]\frac{2}{3}[/tex], coordinates of the image points will be,

[tex]J(0,0)\rightarrow J'(0, 0)[/tex]

[tex]K(0,4)\rightarrow K'(0, 4)[/tex]

[tex]L(9,12)\rightarrow L'(6,8)[/tex]

[tex]M(12,0)\rightarrow M'(8,0)[/tex]

     Therefore, Option B will be the correct option.

Learn more about the rule of dilation here,

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Answer:

Step-by-step explanation:

Perpendicular lines have negative-reciprocal slopes.

The line contains point P(4, 8)

Point slope form:

Given line:

The slope of the perpendicular line is m = -1/4.

The line in point-slope form is:

Answer:

y - 8 = -1/4(x - 4)

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.

Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)

y - y₁ = -1/4(x - x₁)

To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.

y - 8 = -1/4(x - 4)

This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)

Hope this helps!

Answer:

4.1x + 29

Step-by-step explanation:

So the perimeter would be the sum of all of the sides, so:

[tex]2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29[/tex]

Answer: 4.5x+ 29 which is 3, so 3 is correct.

Step-by-step explanation:

P = a+b+c

First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)

Answer:

The answer is 10

Step-by-step explanation:

To get this you will make the improper fraction into a fraction and then turn that into decimal form

[tex]4 \frac{1}{8} = 4[/tex]

and

[tex]5 \frac{6}{10} = 6[/tex]

That is how you find the estimated answer

Hope this Helped

Answer:

2

Step-by-step explanation:

Answer:

X= 20

Step-by-step explanation:

To find x you need to know what are the dimensions

48 divided by 12 = 4

5 x 4 = 20

x = 20

hope this helps

Answer:

81,300

Step-by-step explanation:

Answer:

help me

Step-by-step explanationok so

Answer:

pts

Step-by-step explanation:

Answer:

25 pages in 10 minutes.

A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.

Speed is the time rate at which an object is moving along a path,

Given that car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.

We have to check whether the statement is true or false.

To check, we can use the formula:

distance = rate x time

Substituting the given values, we get:

distance = 60 x 4.5 = 270 miles

Therefore, the statement is true.

Hence, A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.

To learn more on Speed click:

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Answer:

A= 65 C= 65 and D= 115

Step-by-step explanation:

given a parallelogram .

interior angles sum is 360 degree.

sum of adjacent angles is 180degree.

opposite angles are congruent (B=D).

A + B + C + D = 360

(A + D) + C + 115 = 360 since A and D are adjacent angles .

180 + 115 + C = 360

295 + C = 360

C = 360 - 295

C = 65

D = 115

A = 65

a+b+c+d=360

65 + 65 + 115 + 115 = 360

130 + 230 = 360

360 = 360

Answer:

12 servings

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Equilateral triangles are triangles whose all sides and angles are equal.

Since the above given triangle has 3 equal sides it is an equilateral triangle.

So, the three angles of this triangle can be 3x.

Which means :

[tex] =\tt 3x = 180[/tex]

[tex] =\tt x = \frac{180}{3} [/tex]

[tex]\hookrightarrow \tt \color{plum}x = 60°[/tex]

▪︎Therefore, x = 60°

Answer:

D. Cannot be determined

Step-by-step explanation:

Similarly between given triangles can not be determined because given information are insufficient.

The correct option for the given triangles is D. Cannot be determined

Any two triangles will be considered as similar as they have congruent corresponding angles and the corresponding sides are in equal ratios.

Two shapes are Similar when one can become the other after a resize, flip, slide or turn.

Given are two triangle PWR and XYZ we need to determine whether they are similar or not,

So, we only have measurement of a pair of sides and measurement of an angle,

We have some similarity rules by which we can prove two triangles to be similar, they are :-

AA rule, Side Angle Side (SAS), Side Side Side (SSS) and Right-angle Hypotenuse Side (RHS)

Since, we do not enough information to conclude our discussion.

Hence, the correct option is D. Cannot be determined

Learn more about similar triangles, click;

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Answer:

-1

Step-by-step explanation:

It crosses the y axis at negative 1, the y axis is the vertical line

Z>-3

Z<5

Z< or = 4

These 3 above have the 3 numbers in the solution set!

You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!

Also Thanks for the 50 Points!

The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

If the inequality have -0.5, 2.5, and 4 as part of the solution set.

That means, the required value has to be less than or equal to 4.

So, the inequalities are z ≤ 4 and z < 5.

Therefore, the inequalities are z ≤ 4 and z < 5.

To learn more about the inequality;

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Given:

[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].

To find:

The unknown number.

Solution:

Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].

[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]

[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]

Multiply both sides by 16.

[tex]-33=-44x[/tex]

Divide both sides by -44.

[tex]\dfrac{-33}{-44}=x[/tex]

[tex]\dfrac{3}{4}=x[/tex]

Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].

A - variables

B - multiplied

C - reciprocal?

D - 0

//

I'm not too sure about C. it can either be the reciprocal or the opposite.

Answer:

1) B. the labels can he make to the tape

2) D. he can make 73 labels

Step-by-step explanation:

1) We are told that He will make labels 1.25 inches long each. We are asked the number of labels he can make.

Thus, correct answer is option B.

2) He wants to make labels 1.25 inches long out of 91.25 inches of plastic.

Thus, number of labels he can make = 91.25/1.25 = 73 labels

Answer:

164 inches

Step-by-step explanation:

First, add 3 and 4

3+4= 7

Then divide 287 by 7

287/7= 41

Then, multiply 4 (from the ratio) by 41

4*41= 164

To get the length of the shorter piece, subtract 164 from 287

287-164= 123

Check your work:

123+164= 287

Hope this helps!

Step-by-step explanation:

The area that cow can graze is in the form of semicircle.

Radius of semicircle

Length of rope =14 m

Required area = 1/2 ×πr

=1/2×22/7×r^2

=1/2×22/7×14×14

=308m2

Answer:

Rectangle

Step-by-step explanation:

It's a rectangle because opposite sides are parallel as you can see , it has 4 right angles , and it has 4 sides .. it's not a square because in a square all sides are equal

Answer: 28

28 - 17 = 11

11 * -2 = -22

Step-by-step explanation:

First we must calculate the interquartile range (IQR), using this equation:

[tex]IQR = Q_{3} - Q_{1}[/tex]

Based on the information provided we fill in:

[tex]IQR = 58 - 45[/tex]

[tex]IQR = 13[/tex]

In order to find what the range for the data set is we need to use the Interquartile Rule:

[tex]Q_{1}-1.5[/tex] × [tex]IQR\\[/tex]

[tex]Q_{3}+1.5[/tex] × [tex]IQR\\[/tex]

[tex]1.5[/tex] × [tex]13 = 19.5[/tex]

Now we plugin in:

[tex]45 - 19.5 = 25.5\\[/tex]

[tex]58 + 19.5 = 77.5[/tex]

Any number below 25.5 is a possible outlier and any number above 77.5 is a possible outlier.  

Answer:

Based on the results of the calculations, 25 could be a possible outlier in the data set.

Answer:

A plane shape with four straight sides and four right angles for corners is called a rectangle.

Step-by-step explanation:

Answer:

You still need help? :P

Step-by-step explanation: