What is the missing reason in the proof?



Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) Definition of subtraction
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y ________________________



Additive Identity Property


Opposite of a Sum Property


Additive Inverse Property


Symmetric Property

Answer:

66 and 52?

Step-by-step explanation:

Answer:

-189

Step-by-step explanation:

[tex]\int^9_0 \ |6x-6| \ dx[/tex]

⇒ 6x - 6 = 0

6x = 6

x = 1

[tex]\int^9_0 \ (6x- 6 ) \ dx = \int^9_0 \ -(6x - 6) \ dx[/tex]

[tex]= - \Big[ \dfrac{6x^2}{2}- 6x \Big]^9_0[/tex]

[tex]= - \Big[ \dfrac{6(9)^2}{2}- 6(9) - 0 \Big][/tex]

[tex]= -(243 - 54 - 0 )[/tex]

= -189

Answer:

The first number line is correct.

Step-by-step explanation:

To find the number which best represents Eva's stock, we look into the text, and find the changes:

Monday: Stock bought at $42.

Tuesday: Change of -$15, so now it is worth $42 - $15 = $27

Wednesday: Change of +$15, so now it is worth $27 + $15 = $42

The number line which represents the decrease, and then the increase, is the first one.

Answer:

$125

Step-by-step explanation:

To solve this, we need to find 2.5% of 5,000. To do this, we multiply 5,000 by .025. This gets us 125. That means you earn $125 worth of interest in one year.

Answer:

Let's go step-by-step ⇒

[tex]\frac{10x + 4}{7} = 8[/tex]

= [tex](\frac{7}{1})\frac{10x+4}{7} = \frac{8}{1}(\frac{7}{1})[/tex]

= [tex]10x+4=56[/tex]

= [tex]10x = 52[/tex]

= [tex]x = 5.2[/tex]

Your answer is x = 5.2

I hope this helps!

- sincerelynini

Answer:

D. [tex] x = \frac{5*\sqrt{2}}{2} [/tex]

Step-by-step explanation:

Reference angle = 45°

Length of Opposite side = x

Hypotenuse length = 5

Applying trigonometric ratio, we have:

[tex] sin(45) = \frac{x}{5} [/tex]

Multiply both sides by 5

[tex] 5*sin(45) = \frac{x}{5}*5 [/tex]

[tex] 5*sin(45) = x [/tex]

[tex] 5*\frac{1}{\sqrt{2}} = x [/tex] (sin 45 = 1/√2)

[tex] \frac{5}{\sqrt{2}} = x [/tex]

Rationalize

[tex] \frac{5*\sqrt{2}}{\sqrt{2}*\sqrt{2}} = x [/tex]

[tex] x = \frac{5*\sqrt{2}}{2} [/tex]

Answer:

[tex]z = x + y \\ \huge \boxed{x = z - y}[/tex]

Answer:

Step-by-step explanation:

Hahahhhh Lol

Answer:

y=1.125×8 or y=1.125×24

Answer:

D. 8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9

Step-by-step explanation:

(8x⁸ - 9x³ + 3x² + 9) + (4x⁷ + 6x³ - 2x)

Apply distributive property to eliminate parentheses

8x⁸ - 9x³ + 3x² + 9 + 4x⁷ + 6x³ - 2x

Collect like terms

8x⁸ + 4x⁷ - 9x³ + 6x³ + 3x² - 2x + 9

8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9

Answer:

 = 2

Step-by-step explanation:

3  +  6  =  1 2

subtract 6 from both sides of the equation

3  +  6  −  6  =  1 2  −  6

3  =  1 2  −  6

3y/3 = 6/3

y = 6/3

y = 2

i'm taking the same thing :)

Answer: 900 times

Step-by-step explanation:

1 kilometer = 1000 meters

1.8 kilometers = 1000 × 1.8

1.8 kilometers = 1800 meters

2 meters = 1 click

1800 meters = 1800 ÷ 2

1800 meters = 900 clicks

The wheel will click 900 times when Ty walks 1.8 kilometers.

Hope this helped!

Answer:

It will click 900 times

Step-by-step explanation:

We know that there are 1000 meter in 1 km.

So 1.8 km is basically

1.8*1000=1800

So 1800 meters

And every 2 meters it clicks once

So 1800/2=900

So 900 times in 1.8 km

Answer:

6

Step-by-step explanation:

there are six outcomes:

waffle cone apricot

waffle cone chocolate

waffle cone blackberry

sundae apricot

sundae chocolate

sundae blackberry

Answer:

It will weigh 10 pounds per foot

Answer:

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80

Answer:

20

Step-by-step explanation:

Answer:

LM = 20

Step-by-step explanation:

To find LM we have. to subtract MN from LN

So 23 - 3 = 20

Answer: Yes

Step-by-step explanation: The answer of 1400 is correct.

What I did is I found the area of the figure assuming it was a rectangle, then I subtracted the corners that were removed.

1800 - 150 - 100 - 150 = 1400

Answer:

Yup Its Correct

Step-by-step explanation:

The Calculated Area Al adds up to 1400

Answer:

it would cost £15

Step-by-step explanation:

12 ÷ 4 = 3

3 × 5 = 15

Answer:

r = 16.5

Step-by-step explanation:

Move the subtraction over to the over side first

0.1r - 1 = 0.65

It becomes addition on the right side

0.1r = 0.65 + 1

Move the multiplication over to the over side first

0.1r = 1.65

It becomes division on the right side

r = 1.65 / 0.1

r = 16.5

Answer:0.1r-1=0.65  (85% sure this is the answer

Answer:

925.04cm²

Step-by-step explanation:  

Curved surface area of a cylinder = 2πrh

If the sum of the radius of the base and height of the cylinder is 21 cm, then;

r + h = 21

r = 21-h..... 1

The curved surface area is expressed according to the formula

CSA =  2πrh

Substitute the value of CSA given into the formula

616 = 2πrh ....2

Substitute equation 1 into 2;

]616 = 2π(21-h)h

616 = 2π(21h-h²)

Note that π = 3.14

616 = 42(3.14)h - 2(3.14)h²

616 = 131.88h - 6.28h²

98.09 = 21h - h²

h²-21h+98.09 = 0

h = 21±√21²-4(98.09)/2

h = 21±√441-392.36/2

h = 21±√48.64/2

h = 21±6/97/2

h = 21+6.97/2 and 21-6.97/2

h = 27.97/2 and 14.03/2

h = 13.985 and 7.015

Recall that r = 21-h

r = 21 - 13.985

Substitute r = 7.015  into the total surface area of the cylinder

The total surface area = 2πrh + 2πr²

The total surface area = 616 + 2(3.14)7.015²

The total surface area = 616 + 309.04

The total surface area = 925.04

Hence the total surface area of the cylinder is 925.04cm²

Answer:

All parallelograms have 4 equal sides

Answer:

I don't know

Step-by-step explanation:

thanks for the points again.

Answer:

(5,-1)

x=5

y= -1

Step-by-step explanation:

To solve this we're going to solve for one variable in either equation

so we have

x+y=4

We can subtract y and 4 from both sides to get

x-4= -y

Then divide by -1 so that y will be a positive number

-x+4=y

We can plug this in for y in the other equation

2x -2(-x+4)=12

Distribute the -2 and get

2x+2x-8=12

Combine like terms and add 8 to get

4x=20

divide and get x=5

Plug in x=5 into the first equation to get

5+y=4

subtract 5 to get y= -1

Our answer is (5,-1) or x=5 y= -1

I checked this on desmos and the math is correct

Answer:

The solution to the system of equations will be:

x = 5, y = -1

Step-by-step explanation:

Given the system of equations

x + y = 4

2x - 2y = 12

Isolate x for x + y = 4:    x = 4 - y

substitute x = 4 - y in the equation 2x - 2y = 12

2(4-y) - 2y = 12

8 - 2y - 2y = 12

8 - 4y = 12

4y = 8 - 12

4y = -4

divide both sides by 4

4y/4 = -4/4

y = -1

substitute y = -1 in x + y = 4

x + y = 4

x + (-1) = 4

x - 1 = 4

x = 5

so

(x, y) = (5, -1)

Therefore, the solution to the system of equations will be:

x = 5, y = -1

Answer:

Step-by-step explanation:

1) slope = 3 ; y-intercept = 1

y = mx + b

y = 3x + 1

0 = 3x + 1 -y

-1 = 3x - y

ANS: 3x - y = -1

2)   Passing through (0,2), slope = -4

y - y₁ = m(x -x₁)

y - 2 = -4(x - 0)

y - 2 = -4x

4x + y - 2 = 0

Ans: 4x + y = 2

3)Passing through (-1,3) and (1,1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{1-3}{1-[-1]}\\\\= \frac{-2}{1+1}\\\\= \frac{-2}{2}\\\\= - 1[/tex]

m= -1 ; (-1 , 3)

y - y₁ = m(x -x₁)

y - 3 = (-1)(x - [-1] )

y -3 = (-1)(x +1 )

y - 3 = -x - 1

x +  y -3 = -1

x +y = -1 + 3

Ans: x + y = 2

4) Passing through (1,3), slope = 1/2

y - y₁ = m(x -x₁)

[tex]y - 3 = \frac{1}{2}(x - 1)\\\\y - 3 = \frac{1}{2}x - \frac{1}{2}\\\\[/tex]

Multiply the equation by 2

[tex]2*y - 2*3 = 2*\frac{1}{2}x - 2*\frac{1}{2}\\\\2y - 6 = x - 1\\[/tex]

2y - 6 +1 = x

2y - 5 = x

    -5 = x - 2y

Ans: x - 2y = -5

5)  Passing through (1/2,1) and (4,2)

Slope = [tex]\frac{2-1}{4-\frac{1}{2}}[/tex]

         [tex]= \frac{1}{\frac{7}{2}}\\\\= \frac{2}{7}[/tex]

m = 2/7 ; (4 , 2)

y - y₁ = m(x -x₁)

[tex]y - 2 = \frac{2}{7}(x - 4)\\\\7y - 7*2 = 7*\frac{2}{7}(x - 4)\\\\7y - 14 = 2(x -4)\\\\7y - 14 = 2x - 8\\\\[/tex]

7y - 14 + 8 = 2x

7y - 6 = 2x

Ans:  2x - 7y = -6