Mental Math Determine whether each statement is always, sometimes, or never true.An absolute value function of the form f(x) = c|x| is symmetric about the y-axis.

Answer:

6 points of data, minimally.

Easiest if they are 3 points.

All data is going to be comprised of more than one unit of data itself.

For 3 points, we need 6 coordinates.

For 3 lines, we need 2 points each, and then 2 coordinates for each point.

Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.

Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.

So in a 2D space, the information required to make a figure is twice the number of vertices.

Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.

“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”

Edit… A closed figure made only of straight line segments.

I'm sorry if it has any wrong ‍♀️

Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:

Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].

The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.

Some of the steps required in construction of a congruent triangle to a given one are:

1. Draw a line with a straight edge and mark a starting point.

2. copy one of the angles of the given triangle to the marked point on the line drawn.

3. Copy the length of sides of the triangle appropriately.

5. Copy the measures of other angles and length of sides to complete the congruent triangle.

Therefore, some of the least amount of information to be known for the construction are:

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Answer:

arc tan (angle) = 1,119 / 173

arc tan (angle) = 6.4682080925

angle = 81.212 Degrees

Step-by-step explanation:

Sarah had spent a total amount of $17.5 as y represents the total amount when x which represents the number of rides which will be 1.

In the given question, It is stated that Sarah had a set price for admission and for ride tickets. The equation representing this situation given in the question is y = 1.5x + 16, where y represents the total amount of money Sarah will spend, and x represents the number of rides she will have in the park.

We have been given a situation in which the value of x is set to be 1. So, taking x = 1 in the equation y = 1.5x + 16, We get :

       => y = 1.5(1) + 16   => y = 17.5

Here we get y = 17.5 which will be the total amount Sarah will spend in the amusement park.

Hence, when x = 1, y tells us the total amount Sarah spends in the amusement park which will be $17.5

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The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.

It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

For example, we can conclude that ½+√2 is irrational.

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Answer:

81 pounds

Step-by-step explanation:

Given that:

Peanut per pound = $6.75

Cashew per pound = $9.50

Let

Number of cashews sold = x

Number of peanuts sold = x + 32

Total sales made = $1,012.25

(Number of caahew sold * cost of cahew) + (Number of peanut sold * cost of peanut) = total sales made

(x * 9.50) + [(x + 32) * 6.75)] = 1012.25

9.50x + 6.75x + 216 = 1012.25

16.25x = 796.25

x = 796.25 / 16.25

x = 49

Number of peanuts sold = x + 32 = 49 + 32 = 81

Answer:5 Hours

Step-by-step explanation:

160/4 = 40 miles per hour

200/40 = 5

Answer:

8 hours

Step-by-step explanation:

there are 360 miles total because it already covered 160 and there are 200 left.  160 / 4 = 4 hours per 40 miles.  200 is 40 more miles than 160.  This means that it is the 4 hours of 160 miles in that 200 + 4 more hours for 40 miles.  Add them together and you get 8 hours.

Answer:

m=y8+2x

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

13 days till Christmas

Answer:

13 days left

Step-by-step explanation:

25 - 12

= 13

A segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.

Assuming point E is located between points D and F on a straight line, points D, E, and F are collinear, and based on the segment addition postulate, we have the equation that is true:

DE + EF = DF.

Let's assume that we have the following lengths:

DE = 2x

EF = 3x

DF = 100

Therefore, we would have the following:

2x + 3x = 100

5x = 100

5x/5 = 100/5

x = 20.

Therefore, a segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.

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Answer: 8.65*103

Step-by-step explanation:

Using scientific notation, it is found that the amount raised by the West, in dollars, is of:

[tex]8.65 \times 10^3[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

Combined, the amount raised by the North, South and East is:

[tex]2.38 \times 10^4 + 6.75 \times 10^3 + 1.46 \times 10^4[/tex]

To add numbers, they need to have the same exponent, hence:

[tex]6.75 \times 10^3 = 0.675 \times 10^4[/tex]

To add the numbers, we add the bases and keep the exponents, hence:

[tex]2.38 \times 10^4 + 0.675 \times 10^4 + 1.46 \times 10^4 = 2.38 + 0.675 + 1.46 \times 10^4 = 4.515 \times 10^4[/tex]

The total amount is given in the problem, hence the amount raised by the West is:

[tex]5.38 \times 10^4 - 4.515 \times 10^4 = 0.865 \times 10^4 = 8.65 \times 10^3[/tex]

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Answer:

the lowest amount mia can spend is $75

Step-by-step explanation:

3x12=36

12x3+15 this is for the noise makers

9 x 4= 36

15 x 4 = 60

60+15=75

she will spend 75 dollars on party suplies

The direct distance between Centerville and Capital City round to the nearest kilometer is 1,336 kilometers.

The distances between Centerville, Springfield, and Capital City form a right triangle in geography.

The distance between Centerville and Springfield is 913 kilometers, and the distance between Springfield and Capital City is 976 kilometers.

Let x be the direct distance between Centerville and Capital City using the formula

By Pythagorean theorem, we get

                                      913² + 976² = x²

                         833,569 + 952,576 = x²,

                                                      x² = 1786145

                                                       x = √1786145

                                                       x = 1336.46736

Hence, we get x = 1,336.46736 rounding to the nearest tenth is 1,336 kilometers.

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Answer:

D

Step-by-step explanation:

Answer: I think B

Step-by-step explanation: Hope it helped! :)

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope you can use the slope equation:

[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

Let's define the terms in the equation:

y2 = 5

y1 = 7

x2 = 4

x1 = 8

Now, let's put these into the equation and solve:

[tex]slope = \frac{5 - 7}{4 - 8} = -\frac{2}{4} = -\frac{1}{2}[/tex]

Therefore, the slope is -1/2.

I hope this helps!!

- Kay :)

Answer:

There are 6hrs and 38 minutes between 8:15 am and 2:53 pm

Step-by-step explanation:

8:15 a.m- 9:15 am= 1 hr

9:15 am- 10:15 am= 1 hr

10:15 am-11:15 am=1 hr

11:15 am- 12:15 pm= 1 hr

12:15 pm- 1:15 pm= 1 hr

1:15 pm- 2:15 pm= 1hr

2:15 pm-2:53 pm= 53-15= 38 min

Answer:

3.5

Step-by-step explanation:

7/3= 3.5 or 3 1/2

Answer: x= -12.5

Step-by-step explanation:

Start with distributing-5(x+4) or you get

x-5x-20=30

Add x and -5x to get -4x

Thank you add 20 to each side and get

-4x = 50

Divide by -4 on each side to get x=-12.5

Answer:

x=-25/2 is the answer.

Step-by-step explanation:

Below are the steps for solving the equation:

Step 1: Simplify, combine like terms, and distribute:

x−5(x+4)=30

x+(−5)(x)+(−5)(4)=30

x+−5x+−20=30

(x+−5x)+(−20)=30

−4x+−20=30

−4x−20=30

Add 20 to each side:

−4x−20+20=30+20

−4x=50

Divide each side by -4:

-4x/-4=50/-4

x=-25/2, which is -12.5 as a decimal.

So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.

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Translations

Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.

If the figure has 3 points (A, B and C), we would be left with:

A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)

A(X, Y) → A'(X ± m; Y ± n)

B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)

C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)

in our example - see attached figure - let

m = 4

n = - 1

(these values of m=4 and n=-1 were chosen by me arbitrarily)

A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)

B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)

--------------------------------------------------------------------------

Rotations

The expression (formula) for rotation will be:

P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)

Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then

in our example - see attached figure

A(1; 2) → A''(-2; 1)

B(2; 3) → B''(-3; 2)

______________________________

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Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

Answer:

The answer is D.

Step-by-step explanation:

The difference between each term is 4.

-2 - (-6) = 4

2 - (-2) = 4

6 - 2 = 4

10 - 6 = 4

d. 4

here, -2-(-6)= -2+6=4

2-(-2)= 2+2=4

6- 2 = 4

10-6 = 4

so the common difference of them is 4.

Answer:

4.6538474e+15

Step-by-step explanation: