For each expression, select all equivalent expressions from the list.

Answer:

8

Step-by-step explanation:

Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8

Bisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:

OQ = 32

PO = 4x,

This shows that OQ = PO that is:

32 = 4x

Swap

4x = 32
x = 8

Hence the value of x of OQ is equal to PO is 8

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Answer:

44

Step-by-step explanation:

4×(2)×4-2×(7)×2+40=?

8×4-14×2+40=?

32-28+40=

=44

Answer:

y = -1/2x - 8

Step-by-step explanation:

Slope: ( -7 - - 6 )/(-2 - - 4) = (-7+6)/(-2+4) = -1/2

Point : (-4,-6)

y - - 6 = - 1/2(x - - 4)

y+6= - 1/2(x+4)

y+6= - 1/2x - 2

y = - 1/2x -2 -8

y = -1/2x - 8

Answer:

-38

Step-by-step explanation:

b-8y

(-6)-8(4)

-6-32

-38

Answer:180

Step-by-step explanation:

.

Answer:

2×9(9+1)

18(10)

.180.

Answer:

-2h =6-15

-2h =-9

h=-9/-2

h=4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

10) First find the capacity of the swimming pool.

Volume of the swimming pool= length * depth  *width

                                                 = 15 * 1.5 * 5

                                                  = 112.5 cubic meter

1 cubic meter= 1000 liters

112.5 cubic m = 112.5* 1000 = 112,500 liters

Quantity of salt added to every 10 000 liters = 2 Kg

Quantity of salt added to  112,500 liters =  [tex]\dfrac{2}{10000}*112500[/tex]

       = 22.5 Kg

2x + 3x = 100

5x=100

x=100/5

x= 20

Therefore, 2x=2×20=40

3x=3×20=60

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Answer:

9.89 or 7 radical 2

Step-by-step explanation:

Answer:

The general equation of a slope-intercept form is as below;

[tex]y = mx + c[/tex]

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

Answer:

12.75

Step-by-step explanation:

Given the equations

x - y = 3.5 → (1)

[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )

x + y = 22 → (2)

Add (1) and (2) term by term to eliminate y

2x + 0 = 25.5

2x = 25.5 ( divide both sides by 2 )

x = 12.75

Substitute x = 12.75 into (2)

12.75 + y = 22 ( subtract 12.75 from both sides )

y = 9.25

The 2 numbers are 12.75 and 9,25

With the larger number being 12.75

Answer:

1. Natural

2. Whole

3. Integer

4. Rational

The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

For example 1, 2, 3, 4, 5, 6, and so on.

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

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Step-by-step explanation:

[tex]f(x)=f(x-1)+f(x-3)[/tex]

Substitute x=4,

[tex]f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2[/tex]

Answer:

$22.50 I believe...

Step-by-step explanation:

157.50 divided by 7

??

Answer:

$22.50 per hour

Step-by-step explanation:

157.50 = 7x

157.50 / 7 = 22.5

22.5/hour

If my answer is incorrect, pls correct me!

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Answer:

Step-by-step explanation:

Work Shown:

g(x) = -x+2

g(5) = -5+2 ... replace every x with 5

g(5) = -3

Answer:

g(5) = -3

Step-by-step explanation:

given:

[tex]g(x ) = - x + 2g(x) = - x + 2[/tex]

find:

[tex]g(5)[/tex]

replace x with 5

[tex]g(5) = - 5 + 2[/tex]

[tex]g(5) = - 3[/tex]

[tex]\boxed{\sf 1kg=2.205lbs}[/tex]

[tex]\\ \sf\longmapsto 6kg[/tex]

[tex]\\ \sf\longmapsto 6(2.205)[/tex]

[tex]\\ \sf\longmapsto 13.23lbs[/tex]

Answer:

x= -6 —> y= 4

x= -11 —> y= 5

Step-by-step explanation:

x= -6 —> y= 4

[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]

x= -11 —> y= 5

[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]

I hope I helped you^_^

The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.

The function f(x) = √( -x -2) + 2

The value of x and f(x) are ,

x    :   -2   -3    -6    -11

f(x) :   2     3      ?     ?

Now to find the missing value of f(x) substitute the value of x in f(x) we have,

When x = -6

f(x) = √( -x -2) + 2

⇒ f(x) = √( -( -6) -2) + 2

⇒ f(x) = √(6) -2) + 2

⇒ f(x) = √(4) + 2

⇒ f(x) = 2 + 2

⇒ f(x) = 4

And when x = -11

f(x) = √( -x -2) + 2

⇒ f(x) = √( -( -11) -2) + 2

⇒ f(x) = √(11) -2) + 2

⇒ f(x) = √(9) + 2

⇒ f(x) = 3 + 2

⇒ f(x) = 5

Therefore, the missing values of the function are 4 and 5.

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

Work Shown:

x = number of miles

2x = cost of traveling x miles, at $2 per mile, without including the $3 fee

2x+3 = total cost now including the $3 entrance fee, without tip

2x+3+1 = total cost plus $1 tip

2x+4 = amount you spent

2x+4 = 20

2x = 20-4

2x = 16

x = 16/2

x = 8

You traveled 8 miles.

Hey there! I'm happy to help!

Let's represent the number of miles traveled with the variable m.

We see that it will cost $2 for every mile, so for if we drive 8 miles, it will cost $16, 9 will be $18, and so forth. So the relationship is that the cost will be double the money, so what we have here is 2×m. In algebra, you can simply write variable multiplication as just putting the numbers next to each other, so 2m will be that part of the equation.

We see that the initial cost of the taxi is $3.

3

We are going to be adding our $2 per mile to this amount (2m).

3+2m

And we will add our $1 tip.

3+2m+1

And this is equal to $20.

3+2m+1=20

We can combine the 3 and the 1 to give us 4.

4+2m=20

So, we see that 2m+4 is equal to 20. If we subtract that four from 20, we will see that 2m is equal to 16.

We remember that our cost from mileage is double the miles, so if 16 is double something, we just divide by two!

16/2=8

So, this means that we traveled 8 miles!

Have a wonderful day and keep on learning! :D

Answer:

-4.

Step-by-step explanation:

There are 31 days in August.

1/2 * 31 - 1/2 * 39

= 15 1/2 - 19 1/2

= -4.

Answer:

x=1

Step-by-step explanation:

Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1

The equation of the vertical line in slope-intercept form is: x = 1.

A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..

Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.

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Answer:

[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]

I am joyous to assist you at any time.

Answer:

total = 99m² + 39.4m²

= 148.4m²

Answer:

45

Step-by-step explanation:

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

Hey there! I'm happy to help!

We see that the cupcakes are $2, but for every 8 you buy you get 1 free.

So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.

Let's see how many times $16 goes into $80.

80/16=5

So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.

9*5=45

So, Fatimah will get 45 donuts during the promotion.

Have a wonderful day and keep on learning! :D

Answer:

[tex]2.21 \times {10}^{ - 10} [/tex]

Step-by-step explanation:

When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.

You have to fist write it in a way you don't confuse yourself

Let the number be x

x+5=17

x=17-5

x=12

It's a step by step process