Graph the oppisite of the opposite of 2 on the number line. Click on the number line to identify the numbers location. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Answer:

Commutative Property

Step-by-step explanation:

-8+8 = 0

0 = 0

Answer:

Step-by-step explanation:

[tex] \mathsf{2 \frac{3}{8} }[/tex]

Convert mixed fraction to improper fraction

⇒[tex] \mathsf{ \frac{2 \times 8 + 3}{8} }[/tex]

⇒[tex] \mathsf{ \frac{16 + 3}{8} }[/tex]

⇒[tex] \mathsf{ \frac{19}{8}} [/tex]

Calculate

⇒[tex] \mathsf{2.375}[/tex]

Learn more:

How to convert mixed fraction into improper fraction?

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Hope I helped!

Best regards!

Answer:

C. 65

Step-by-step explanation:

By the property of intersecting chords inside a circle.

[tex] TW\times WU = CW\times WV[/tex]

[tex] 14\times (2x + 2)= 12\times (2x + 5)[/tex]

[tex] 28x + 28= 24x + 60[/tex]

[tex] 28x - 24x =60-28[/tex]

[tex] 4x =32[/tex]

[tex] x =\frac{32}{4}[/tex]

[tex] x =8[/tex]

UT = 14+ 2x + 2

CV = 12+2x+5

UT + CV = 14 + 2x + 2 + 12 + 2x + 5

UT + CV = 4x + 33

UT + CV = 4*8+ 33 = 32 + 33 = 65

UT + CV = 65

Answer:

Y' = -xsin(2x) + 2cos(2x)

Step-by-step explanation:

For this problem, we will need to use the product rule since you have two terms that contain the variable x.

The product rule is simply as follows:

The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.

Note the derivative of 2x with respect to x, is 2.

Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).

With this in mind, let's find the derivative of our function with respect to x.

Y = 2xcos2x

Y = 2x * cos(2x)

Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)

Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)

Y' = (-x)sin(2x) + 2cos(2x)

So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.

Cheers.

Answer: Simplifying ratios is just like simplifying fractions. Think of ratios as fractions. You divide a number that both numerator and denominator can be divided by.

Example

5/10 = 1/2

How did we get 1/2? Simple! You divide the numerator and denominator by 5.

5/10÷5/5=1/2

You do the same for ratios but the only difference is instead of putting a fraction bar (/) you put a colon (:)

Let's try another example but with a ratio!

Example

5:10 = 1:2

How did we get 1:2? Simple! Again we divided by 5 just like we did with the fraction example! So really ratios are just like fractions!

5:10÷5:5=1:2

Remember

The fraction bar is /

The ratio bar is :

Ratios are just like fractions but the symbol can sometimes trick people.

Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

I'm sure you meant "percent," not "present."

If 25% of the square is shaded, then the percent that is not shaded is 75%.

Answer:

The similarities are;

1) The tangent slope of the tangent graph and the cotangent graph are always the same sign through out

2) The period of each trigonometric ratio cot and tan is π/2

The differences are;

1) The sign of tangent function always positive while that of the cotangent function always negative

2) Where the value of cot x ranges from undefined to 0, the value of tan x ranges from 0 to undefined in the same domain

Step-by-step explanation:

Answer:

8t^3-36t^2+54t-27

Step-by-step explanation:

(2t-3)^3

(2t-3)(2t-3)(2t-3)

Multiply the first two terms

(4t^2 -6t -6t+9)(2t-3)

Combine like terms

( 4t^2 -12t +9) ( 2t-3)

Multiply

2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)

Distribute

8t^3 -24t^2 +18t-12t^2 +36t-27

Combine like terms

8t^3-36t^2+54t-27

Answer:

8t³ - 36t² + 54t - 27

Step-by-step explanation:

(2t - 3)³

(2t - 3)(2t - 3)(2t - 3)

FOIL the first two binomials - first - outer - inner - last

(2t - 3)(2t - 3)

= 4t² - 6t - 6t + 9

= 4t² - 12t + 9

multiply this polynomial by the last binomial

(4t² - 12t + 9)(2t - 3)

distribute 2t

2t • 4t² = 8t³

2t • -12t = -24t²

2t • 9 = 18t

distribute -3

-3 • 4t² = -12t²

-3 • -12t = 36t

-3 • 9 = -27

combine

8t³ - 24t² + 18t - 12t² + 36t - 27

simplify

8t³ - 36t² + 54t - 27

Answer:

-1

Step-by-step explanation:

If i = √-1, then i^2 = -1.

Answer:

It helps because it gets you thinking. Personally, it would motivate me because that process itself is very helpful. Brainstorm will get you your idea, you can decide if you want to do it or not, then you work on it, and because you have the right attitude towards whatever you are working on, you'll enjoy it!

Answer:

A

Step-by-step explanation:

Given

x² + 3x - 18

Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3, since

6 × - 3 = - 18 and 6 - 3 = + 3, thus

x² + 3x - 18 = (x + 6)(x - 3) → A

Answer:

( x+6) ( x-3)

Step-by-step explanation:

x^2 + 3x - 18

What 2 numbers multiply to -18 and add to 3

6*-3 = -18

6+-3 = 3

( x+6) ( x-3)

Answer:

2/9

Step-by-step explanation:

5 dimes and 5 pennies = 10 coins

P( dime) = number of dimes / total

            =5/10 = 1/2

keep the dime

4 dimes and 5 pennies = 9 coins

P( penny) = number of penny / total

                 =4/9

P( dime, keep, penny) = 1/2 * 4/9 = 2/9

=================================================

Explanation:

There are 5+5 = 10 coins total, of which 5 are dimes. The probability of selecting a dime is 5/10 = 1/2.

The coin is not put back, so we have 10-1 = 9 coins overall. Of this, 5 are pennies. The probability of pulling a penny out is 5/9. Note how this is dependent on the first event above.

From here, multiply the two probabilities

(1/2)*(5/9) = 5/18

The rule used here is

P(A and B) = P(A)*P(B given A)

where A and B are the events "pulling out a dime on the first selection" and "pulling out a penny on the second selection"

Answer:

A kite

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral are;

A(2, 3), B(4, 6), C(8, 9), and D(5, 5), therefore,  the length of the sides of the quadrilateral can be found using the following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

(x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints on the side

For side AB, we have;

[tex]l_{AB} = \sqrt{\left (6 - 3 \right )^{2}+\left (4-2 \right )^{2}} = \sqrt{13}[/tex]

The slope = 1.5

For side BC, we have;

[tex]l_{BC} = \sqrt{\left (9 - 6 \right )^{2}+\left (8-4 \right )^{2}} = 5[/tex]

The slope = 3/4

For side CD, we have;

[tex]l_{CD} = \sqrt{\left (5 - 9 \right )^{2}+\left (5-8 \right )^{2}} = 5[/tex]

The slope = 4/3

For side DA, we have;

[tex]l_{DA} = \sqrt{\left (3 - 5 \right )^{2}+\left (2-5 \right )^{2}} = \sqrt{13}[/tex]

The slope = 2/3

Angle ADC = Actan (2/3 - 4/3)/(1 + 2/3*4/3) = -19.44 = 180-19.44 = 160.55°

Angle ABC = Actan (0.75 - 1.5)/(1 + 0.75*1.5) = -19.44 = 180-19.44 = 160.55°

Therefore, given that the quadrilateral has two pairs of equal adjacent sides and the angles are equal at the meeting point of the two squares, it is best described as a kite.

Answer:

Step-by-step explanation:

3x - 5 is f^(-1) (x) = (1 / 3) x + (5 / 3), which is a linear expression.

Answer:

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

Hence the amount Mr Noel originally borrow is $400

Answer:

3x + 8

Step-by-step explanation:

Number: x

Three times a number: 3x

Eight increased by three times a number: 3x + 8

Answer:

[tex]\huge\boxed{ 8 + 3x}[/tex]

Step-by-step explanation:

Let the number be x

So, three times x will be => 3x

Increases by 8 means adding 8 So, the final expression will be:

=> 8 + 3x

Answer:

Step-by-step explanation:

An absolute value function f when stretched or shrink vertically,

1). If a function f(x) = |x| is stretched vertically by a factor 'k',

   g(x) = k[f(x)] = k|x|  [where k > 1]

2). If the same function is vertically compressed by a factor 'k',

   g(x) = k[f(x)] = k|x|  [where 0 < k < 1]

Following these rules we can define a vertical stretch or compression of any function.

Answer: p= 1/7

Step-by-step explanation:

5/7=p+4/7

-p=4/7-5/7

-p=-1/7

P=1/7

Answer:

x > 11

Step-by-step explanation:

15 < 4 + x

Subtracting 4 from both sides (to get rid of the 4 on the right side) gives us:

15 - 4 < 4 + x - 4

11 < x

Answer:

x>11

Step-by-step explanation:

15<4+x

Simplify both sides of the inequality.

15<x+4

Flip the equation.

x+4>15

Subtract 4 from both sides.

x+4−4>15−4

x>11

Answer:

d=6 2/3 or 6.6666

Step-by-step explanation:

3(d+4)=32

3d+12=32

3d=32-12

3d=20

d=6 2/3 or 6.6666

5 / 4 =1.25PER LB

1.25 x 6 =7.5

Answer: The table on the top right corner

Answer: Answer in the steps

Step-by-step explanation:

x       y  

0      3

1        1

2        -1

3        -3

This a linear function because as the y values decrease by a constant amount the x values also increase by a constant amount.

Answer:

10/7

Step-by-step explanation:

5x+2x=10

7x=10

x=10/7

Answer:

A. 27°

Step-by-step explanation:

Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:

m<1 + m<2 = 90°

3x + (5x + 18) = 90°

Solve for x using this equation

3x + 5x + 18 = 90

8x + 18 = 90

Subtract 18 from both sides

8x + 18 - 18 = 90 - 18

8x = 72

Divide both sides by 8

x = 9

Find m<1

m<1 = 3x

Plug in the value of x

m<1 = 3(9) = 27°

Answer:

The point is NOT on the line.

Step-by-step explanation:

Step 1: Write out equation

y = -x + 3

Step 2: Define point

A(6, 3)

x = 6, y = 3

Step 3: Plug in coordinates

3 = -(6) + 3

3 = -6 + 3

3 ≠ -3

Answer:

(6, 3 ) is not on the line

Step-by-step explanation:

Substitute x = 6 into the right side of the equation and if the value is equal to the y- coordinate of the point, then it is on the line

y = - 6 + 3 = - 3 ≠ 3

Thus (6, 3 ) is not on the line

Answer:

10 times

Step-by-step explanation:

Since the leftmost value is called ones place.

the second leftmost value is called tens place.

the third leftmost value is called a hundred place.

the fourth leftmost value is called a thousand place and so on.

So, The value of 4 in 4,735 is 4 thousand = 4,000

and the value of 4 in 6,412 is 4 hundred = 400.

Hence, the value of the 4 in 4,735 is 10 times the value of the 4 in 6,412.

Answer:

10 times greater.

Step-by-step explanation:

4 in 4735 has a values of 4000.

In 6412 it has a values of 400.