Describe in words the transformations that map angle ABC to angle A'B' C'. Make sure that you add special details.

Answer:

Find the Slope from a Graph

Identify rise and run from a graph

Distinguish between graphs of lines with negative and positive slopes

Find the Slope from Two Points

Use the formula for slope to define the slope of a line through two points

Find the Slope of Horizontal and Vertical Lines

Find the slope of the lines

x

=

a

and

y

=

b

Recognize that horizontal lines have slope = 0

Recognize that vertical lines have slopes that are undefined

Identify slopes of parallel and perpendicular lines

Given a line, identify the slope of another line that is parallel to it

Given a line, identify the slope of another line that is perpendicular to it

Interpret slope in equations and graphs

Verify the slope of a linear equation given a dataset

Interpret the slope of a linear equation as it applies to a real situation

Identify slope from a graph

The mathematical definition of slope is very similar to our everyday one. In math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane. Consider the graphs of the three lines shown below:

You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope. Let’s look at an example.

EXAMPLE

Use the graph to find the slope of the line.

A line that crosses the points (2,1) and (6,3). A blue line labeled Rise goes up two units from the point (2,1). A red line labeled Run goes left from the point (6,3) so that it forms a triangle with the main line and the Rise line. A formula says slope equals rise over run.

Show Solution

This line will have a slope of

1

2

no matter which two points you pick on the line. Try measuring the slope from the origin,

(

0

,

0

)

, to the point

(

6

,

3

)

. You will find that the

rise

=

3

and the

run

=

6

. The slope is

rise

run

=

3

6

=

1

2

. It is the same!

Let’s look at another example.

EXAMPLE

Use the graph to find the slope of the two lines.

A graph showing two lines with their rise and run. The first line is drawn through the points (-2,1) and (-1,5). The rise goes up from the point (-2,1) to join with the run line that goes right to the point (-1,5). The second line is drawn through the points (-1,-2) and (3,-1). The rise goes up from the point (-1,-2) to join with the run to go right to the point (3,-1).

Show Solution

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line,

1

4

. The greater the slope, the steeper the li

Step-by-step explanation:

Answer:

cos (-1 • 0^2) = 1

Step-by-step explanation:

Plug in the value x=0

Answer:

P [tex]\leq[/tex] 6

Step-by-step explanation:

Set up Equation:

17.50 + 36.25(p) [tex]\leq[/tex] 235

Simplify Expression to Solve for how many people can go the park, using inverse operations.

36.25(p) [tex]\leq[/tex] 235 - (17.50)

36.25(p) [tex]\leq[/tex] 217.5

p [tex]\leq[/tex] 217.5/36.25

p [tex]\leq[/tex] 6

Therefore, no more than six people can attend the amusement park.

Answer:

Distributive property is the answer

The simplified expression of  -6√150 is -150√6

The expression is given as

-6√150

Express 150 as 25 * 6

So, we have

-6√150 =  -6√(150 * 6)

Take the square root of 25

So, we have

-6√150 =  -6 * 25√6

Evaluate the product

-6√150 =  -150√6

Hence, the simplified expression of  -6√150 is -150√6

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Answer:

Y = - 2

Step-by-step explanation:

i) y = 5x + 6

Gradient = 5 and intercept = 6

ii) y = 5 - 6x

Gradient = -6 and Intercept = 5

1)(bi)x + y = 6

Gradient = - 1 and intercept = 6

ii) 5y = 10x + 5

Gradient = 2 and Intercept = 1

iii) 6x - 10y = 2

Gradient = 0.6 and intercept = - 0.2

2)ai) 4x + y + 2 = 0

The line that depicts it is line A

ii) 4x + 2y = 8

The line that depicts it is line C

iii) 2x - 4y = 8

The line that depicts it is line B

1a) The general equation for a line in slope intercept form is;

y = mx + c

where;

m is slope or gradient

c is y-intercept

i) y = 5x + 6

Gradient = 5 and intercept = 6

ii) y = 5 - 6x

y = -6x + 5

Gradient = -6 and Intercept = 5

1)(bi)x + y = 6 can be rearranged in slope intercept form as;

y = -x + 6

Gradient = - 1 and intercept = 6

ii) 5y = 10x + 5

y = 2x + 1

Gradient = 2 and Intercept = 1

iii) 6x - 10y = 2

10y = 6x - 2

y = 0.6x - 0.2

Gradient = 0.6 and intercept = - 0.2

2)ai) 4x + y + 2 = 0

y = -4x - 2

Slope = -4 and intercept = -2 and the line that depicts it is line A

ii) 4x + 2y = 8

y = -2x + 4

Slope = -2 and intercept = 4 and the line that depicts it is line C

iii) 2x - 4y = 8

y = 0.5x - 2

Slope = 0.5 and intercept = -2 and the line that depicts it is line B

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Answer:

57.79

Step-by-step explanation:

Substitute: 63.5-5.71

Calculate the difference: 57.79

Answer: 57.79

Answer:

supplementary means the angles add upto 180 degrees. The name for 2 anglew which add upto 90 degrees is "complimentary".

1) Rounding up 4328 to 1 significant figure will give us; 4000

2) Rounding up 25446 to 1 significant figure will give us 30000.

3) Rounding up 38562.7  to 1 significant figure will give us; 40000

4) Rounding up 87600.2 to 1 significant figure will give us; 90000

When talking about significant figures with whole numbers, we mean all non - zero whole numbers. They include;

1) Rounding up 4328 to 1 significant figure will give us; 4000

2) Rounding up 25446 to 1 significant figure will give us 30000.

3) Rounding up 38562.7  to 1 significant figure will give us; 40000

4) Rounding up 87600.2 to 1 significant figure will give us; 90000

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Answer: 2979 Zeroes

Step-by-step explanation:

1. Figure out what 10^2985 is. (It's one followed by 2985 zeroes).

2. Using that knowledge, make 7.185629 a whole number. To do that, you need to multiply it by a number that has the same number of zeroes as it does to move the decimal place one by one to the right. In this case, it is 1,000,000, because it has 6 zeroes and you need to move the decimal point past 6 numbers (after 7 in 7.185629).

3. Subtract 2985 by 6, because you used 6 zeroes.

4. This gives you the answer 2979 zeroes because 2985 zeroes - 6 zeroes= 2979 zeroes.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

See attached graph for the rotated figure

The incorrect image point from the choices given is the first choice  T'(-3, -2). T' should have coordinates (-3, 2)

Step-by-step explanation:

When a point A(x, y) on the XY coordinate system is rotated 180° (either clockwise or anticlockwise) the coordinates of the new point A' will be (-x, -y). Thus the new coordinates will be the negative of the original coordinates

Looking at the figure and following the above rule we get the following results for original and rotated coordinates by 180°

Original Coordinates(x, y)             Rotated 180 Coordinates (-x, -y)

K(-1, -1)                                                 K'(1, 1)                          (-1 becomes 1)
P(0, -1)                                                 P'(0, 1)                           (0 stays at 0)
T(3, -2)                                                T'(-3, 2)
Q(0, -4)                                                Q'(0, 4)

To get the rotated image draw the new point coordinates and connect them

Expression as a single natural logarithm is 2.48490664979.

ln 3+ ln 4

ln (3×4)

ln(12) =2.48490664979

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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Answer:

the answer is b

Step-by-step explanation:

thnx

The surface area of the triangular prism is 136 cm square.

The surface area of a triangular prism can be found as follows;

Therefore,

surface area of a triangular prism = (perimeter of the triangle × height of prism) + (2 × base area)

Hence,

perimeter of the triangle = 5 + 5 + 6

perimeter of the triangle = 16 cm

height of prism = 7 cm

base area = 1 / 2 bh

base area =  1 / 2 × 4 × 6

base area = 24 / 2

base area = 12 cm²

Therefore,

surface area of a triangular prism = (16 × 7) + (2 × 12)

surface area of a triangular prism = 112 + 24

surface area of a triangular prism = 136 cm²

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Answer:

4.35

Step-by-step explanation:

Answer:

4.35 kilo

Step-by-step explanation:

Salma bought 32 ounces of strawberries and the price in dollars per ounce of each strawberries is 0.45

In this question, Salma bought two pounds of strawberries for $14.40

We need to find the price, in dollars per ounce of strawberries

We know that 1 pound = 16 ounces

2 pounds of strawberries = 2 × 16 ounces of strawberries

                                          = 32 ounces of strawberries

By unitary method, the required price is,

14.40 ÷ 32 = 0.45 dollars per ounce

Therefore, Salma bought 32 ounces of strawberries and the price in dollars per ounce of each strawberries is 0.45

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Answer:

-15+x+11y

Step-by-step explanation:

How to Solve

-15+x-y+12y  < ------ Subtract the values -5 and -10

-15+x+11y    <  -----   Combining like terms -y−y and 12y12y

Answer: I think the answer is never but I'm not sure

Step-by-step explanation:

The given expression can be solved by determining the product of irrational numbers.  

Irrational number is a real number that cannot be expressed as the quotient of two integers. If a square root of a number is not a perfect square root, then it is an irrational number.  

In the given expression, there are two rational numbers 7 and 3 while two irrational numbers √7 and √7.

The integer 7 and 3 can be multiplied. Hence,

7√7*3√7=7*3*√7*√7=21*√7*√7

When multiplying terms in square root, √a*√b=√ab. Hence,

21*√7*√7=21√7*7

As square root of a number is the number multiplying itself i.e., √a*a=a

21√7*7= 21*7=147

The product of the expression 7√7.3√7 is 147

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p(rolling an 8) with one regular die if we roll the die just once is 0.

A regular die has 6 sides. One each side, a unique number is written from 1 to 6. Thus, when a regular die is rolled, the outcomes can be-

1, 2, 3, 4, 5, 6

Thus, the sample space = { 1, 2, 3, 4, 5, 6 }

The probability of getting any one of the numbers will be 1/6 as total number of outcomes are 6.

Now, we need the probability of rolling a 8.

As we can see 8 is not a value in the sample space.

Thus, P(rolling an 8) will be ⇒ 0/6 = 0. That is, 8 will never be rolled.

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No Extraneous solution

The given equation is

  ( 7x + 6 ) ^ 1/2 - (9 + 4x ) ^ 1/2 = 0

We have to find the value of x

[tex]\sqrt{7x + 6}[/tex] = [tex]\sqrt{9 + 4x}[/tex]

Squaring both sides of the equation

[tex](\sqrt{ 7x + 6} )^{2}[/tex] = [tex](\sqrt{9 + 4x})^{2}[/tex]

7x + 6 = 9 +4x

3x = 3

x = 1

To know whether the value of x is the extraneous solution or not, put the value of x in the equation

[tex]\sqrt{7 * 1 + 6}[/tex] -[tex]\sqrt{ 9 + 4 * 1}[/tex] = 0

[tex]\sqrt{13}[/tex] - [tex]\sqrt{13}[/tex] =0

0 = 0

Therefore there is no extraneous solution to the equation as x = 0 is the solution of the equation.

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The nine thousand one hundred ninety-one in number form is 9191

nine thousand one hundred ninety-one in number form is written as

9000+100+90+1=9191

Numbers may be represented in language with range phrases. more universally, person numbers may be represented through symbols, called numerals;

for example, "five" is a numeral that represents the wide variety five. As handiest a fairly small wide variety of symbols may be memorized, primary numerals are commonly organized in a numeral system, which is an organized way to represent any quantity.

The maximum commonplace numeral device is the Hindu–Arabic numeral machine, which allows for the illustration of any quantity the use of a mixture of ten fundamental numeric symbols, called digits

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Answer:

The answer is 17/9.

Step-by-step explanation:

5 2/3 = 17/3

3 = 2 3/3

17/3 / 9/3

17/3 * 3/9

= 17/9

The angle of ∠FEG is 58 degrees

The angle DEF is a right angle.

Therefore,

∠DEF = 90°

Hence,

∠FEG + ∠GED = ∠DEF

∠FEG  = 5x - 22

∠GED = 2x

∠DEF = 5x - 22 + 2x

90 = 5x + 2x - 22

90  = 7x - 22

90 + 22 = 7x

112 = 7x

divide both sides by 7

x = 112 / 7

x = 16

∠FEG  = 5x - 22

∠FEG  = 5(16) - 22

∠FEG  = 80 - 22

∠FEG  = 58°

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Answer:Of(x)=

O F¹(x) =

Of(x)=

2

4x-3

Or¹(x)=2x-3

=

2

Step-by-step explanation:

Which function below is the inverse of f(x) = 4x-3? (1 point)

The road was 9.62 miles long after rebuilding.

The road was initially 3.7 miles long

After a rebuild it was 2.6 miles as long

The new length can be calculated by multiplying the initial length which is  3.7 by 2.6

= 3.7 × 2.6

= 9.62

Hence, after the rebuild the road was  9.62 miles long

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Answer:

-3x^{4}+2x^{3}+4x^{2}

Step-by-step explanation:

Re-order terms so constants are on the left

-x^{2}\left( 3x^{2}-2x-4\right)

-x^{2}\left( 3x^{2}-2x-4\right)

2

Distribute

-\textcolor{#C58AF9}{x^{2}\left( 3x^{2}-2x-4\right) }

-\left( \textcolor{#C58AF9}{3x^{4}-2x^{3}-4x^{2}}\right)

3

Distribute

-\left( 3x^{4}-2x^{3}-4x^{2}\right)

-3x^{4}+2x^{3}+4x^{2}