1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)

Answer:

Yes, he can swim 100 lengths in under 45 minutes.

Step-by-step explanation:

First we divide 100 by 5

100 ÷ 5 = 20

Now we can multiply this by 130 seconds

Now we have 2600 seconds

Since 1 minute is 60 seconds we divide 2600 by 60 seconds

2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.

This is all assuming his rate is constant.

Micheal takes 43.333 minutes to swim 100 lengths.

Length is a measurement or extent of something from one end to another end.

The SI unit of length is meter.

Given that,

To cover 5 lengths, time taken by Micheal =  130 seconds,

Therefore,

Time taken by Micheal to cover 1 length = 130/5 = 26 seconds

Time to cover 100 length = 26×100=2600 seconds

1 minute = 60 seconds

100 length is covered = 2600×1/60 minute

                                    = 43.333 minute

So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.

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Answer:

(a)

Step-by-step explanation:

Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line

Answer:

8

Step-by-step explanation:

1/2(4)-(-6)                  BODMAS method

2-(-6)

2+6

8

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

Answer:

No solutions

Step-by-step explanation:

We can go through this one step at a time to figure out what M is equivalent to. First, let's write out our whole equation:

3 + 2M = 10 - 6 + 2M

I always like to combine like terms first. It looks like there are two like terms on the right side of our equation... 10 and -6. I can combine those to get 4. Now I have the following equation:

3 + 2M = 4 + 2M

Now, let's remove 2M from both sides.

3 + 2M - 2M = 4 + 2M - 2M

3 ≠ 4

We got an answer of 3 = 4, which is not true (that's why I put a ≠ between them instead of a =). What do we do with this information? Well, since we got an untrue statement as an answer, we know that no number is equivalent to M, or, there are no solutions.

Hopefully that's helpful! :)

Answer:

There are no values of  M  that make the equation true.

Step-by-step explanation:

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

Answer:

45 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 172° = 180° ( subtract 172° from both sides )

exterior angle = 8°

The sum of the exterior angles of a polygon = 360°

To find the number of sides n , divide 360° by 8°

n = 360° ÷ 8° = 45

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Answer:

Depends on other factors, although I'm not certain, so to speak.

Step-by-step explanation:

We don't know the probability of Ashley getting a speeding ticket when he is not speeding.  [It happens].

Otherwise, event B is dependent on event A.  Speeding must occur to initiate event B.

Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

Answer:

(7, -1) maybe...

Answer:

1155.0

Step-by-step explanation:

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

Answer:

The value of y is 46.715

Step-by-step explanation:

4y-10+3.14 = 180

4y = 180 + 10 - 3.14

4y = 186.86

4y ÷ 4 = 186.86 ÷ 4

y = 46.715

Answer:

y = 3/4x - 5/4

Step-by-step explanation:

6x=8y+10

Well you must first get your equation set up into the form called "Slope intercept."

6x=8y+10

Add 8y on both of your sides because your y is suppose to be alone.

8y + 6x = 10

Subtract 6x on both sides since it is in fact the opposite of addition.

8y = 6x + 10

Now, you will divide by 8 on both sides. When doing this your y will be alone.

y= 6/8x + 10/8

Note: You can leave it like this but you want to probably simplify.

y = 3/4x + 5/2

      or

y = 3/4x - 5/4

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

Step-by-step explanation:

69

Answer:

250=15x+10

Step-by-step explanation:

250=y

10=b

15 is how much you are paying consantly

The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.

If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,

y=mx+c

250=15x+10

Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

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Answer:

I think it is 80. But I am also not sure because this question is not briefly described.

Answer:

80

Step-by-step explanation:

got it right on edge

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.

Answer:

100.

...................

Answer:

All these statements are true.  See explanations, below.

Step-by-step explanation:

A Line 4y = -16 is horizontal.  TRUE.  Note that y = -4 here.

B. Line 3x = 27 is vertical.  TRUE.  Note that x = 9, which is a vertical line.  

C. For both lines, all points on the line have an x- and a y-coordinate.  TRUE.  But for 4y = -16, the y-coordinate is always the same:  -4; for x = 9, the x-coordinate is always the same.

D. For either line, one of the coordinates of all the points is always the same value.  TRUE (See C above)

Answer:

7n-3

Step-by-step explanation:

You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(2*x+5)=0

STEP1:

Equation of a Straight Line

1.1 Solve y-2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000

x-intercept = 5/-2 = -2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

Geometric figure: Straight Line

Answer:

Option 4: y = 5x - 1

Step-by-step explanation:

The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.

Generally speaking, slopes with higher values tend to have steeper lines.

In comparing the slopes of the given options:

Option 1: slope = -2

Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25

Option 3: slope = 1

Option 4: slope = 5

Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.  

Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.    

Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).