Enter the correct answer in the box.
Write the expression 12-2 in simplest form.

Answer:

i believe it's (1,-8)

Step-by-step explanation:

you subtract the "+3," since it's really the opposite, from 4 to get 1. The -8 stays the same since the transformation doesn't affect the y's.

Step-by-step explanation:

perimeter=(8cm×5)+24cm

=40cm+24cm

=64cm

The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)

The coordinates of the polygon WXYZ are:

W = (-4,-1)

X = (-2,-1)

Y = (-2,-4)

Z = (-3,-2)

When reflected across the y-axis, the rule of transformation is:

(x,y) -> (-x,y)

So, we have:

W' = (4,-1)

X' = (2,-1)

Y' = (2,-4)

Z' = (3,-2)

When rotated by 180 degrees, the rule of transformation is:

(x,y) -> (-x,-y)

So, we have:

W" = (-4,1)

X" = (-2,1)

Y" = (-2,4)

Z" = (-3,2)

Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)

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Answer:

The decimal stays in the same place and the answer is 0.186

Step-by-step explanation:

Step-by-step explanation:

it means the shape of the balloon is close to a sphere.

the volume of a sphere is

4×pi×r³

so, it bases on r³.

that means any scaling factor f between 2 similar balloons for the radius has to be multiplied in 3 times (once for every "r").

in our case we know

8.4 = 2.8 × f

f = 8.4 / 2.8 = 3

so,

large volume = small volume × f×f×f =

= small volume × f³ = 92×3³ = 92×27 =

= 2,484 cm³

Answer:

Step-by-step explanation:

1. the surface area of a square is 6 * s^2

a. 6 * 5^2 = 150 sq ft

b. 6 * 6^2 = 216 sq in

c. 6 * 12^2 = 864 sq mm

2. the surface area of a rectangle is 2(l*w + w*h + l*h)

a. 2(2*5 + 5*7 + 2*7) = 118 sq ft

b. 2(16*11 + 11*10 + 16*10) = 892 sq in

3. the surface area of a sphere is 4pi * r^2

a. 4pi * 12^2 = 576pi or 1809.6 units sq

b. 4pi * 16^2 = 1024pi or 3216.99 units sq

c. d = 2r, r = 5, 4pi * 5^2 = 100pi or 314.2 units sq

4. the surface area of a cylinder is (2pi * r^2) + (2pi*r * h)

a. (2pi * 6^2) + (2pi * 6 * 12) = 216pi or 678.6 units sq

b. (2pi * 2^2) + (2pi * 2 * 10) = 48pi or 150.8 units sq

c. (2pi * 3^2) + (2pi * 3 * 5) = 48pi or 150.8 units sq

5. r = d/2 = 0.5, using formula from question 4:

(2pi * 0.5^2) + (2pi * 0.5 * 4) = 4.5pi or 14.14 ft sq

Answer:

41

Step-by-step explanation:

(3*7)+(4*10)/2

(21)+(40)/2

Bidmas means you do 40/2 first

21+20=41

Answer:

[tex]0.6428[/tex]

Step-by-step explanation:

[tex]sin(x + y) = sinxcosy + cosxsiny[/tex]

[tex]sin40 = sin(18 + 22)[/tex]

[tex]= sin18cos22 + cos18sin22= (0.3090 * 0.9272) + (0.9511 * 0.3746)= 0.2865 + 0.3563= 0.6428[/tex]

2. Elana's Family. Elana's Family.

The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,

⇒ m = - 2/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The perpendicular line is,

⇒ 2x + 3y = 24

Now,

Since, Product of slopes of perpendicular line are - 1.

So, We need to find the slope of the line.

Hence, Slope of the line is,

2x + 3y = 24

y = - 2/3x + 8

m = dy/dx = - 2/3

m = - 2/3

Thus, The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,

⇒ m = - 2/3

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Answer:

The answer is 8! ("eight factorial") = 8*7*6*5*4*3*2*1 = 40320, which is the number of permutations of 8 objects. 

(8 ways to put the first book in the first place, then 7 ways to put the second book in the second place, then 6 ways to put the third book in the third place, and so on). 

Using the concept of closure, it is found that the false statement is given by:

Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and  multiplication operations.

As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.

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Answer:

(1) the tax is 788.76

(2) 19312.23

Step-by-step explanation:

Hope this helps

Answer:

b) 70.6

Step-by-step explanation:

To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6

Answer:

C.4400

Step-by-step explanation:

The formula to convert Fahrenheit to Celsius (or Vice Versa) is,

F

=

(

9

C

5

)

+

32

Here C is the Temperature in Celsius Degrees and F is temperature in Fahrenheit Degrees.

Time for substitution

( 9C)

40 = ______ +32

5

I have put 40 instead of F because the value I have in hand is temperature in Farhenheit.

=> (40 -32) 5

________ = C

9

Then take all the constant term to one side and keep the variable on other side.

C = 4.4444444

C = 4400

Answer:

Step-by-step explanation:

Number : 2 Cost : $10

Number : 3 Cost : $15

Number : 7 Cost : $28

⇒ The cost is not always the same per person.

⇒ Predicted number in a group for cost of $40 :

⇒ Since 7 costs $28 and if we use 8, it will be $5 per head but the price difference will be too large

⇒ 10 people is more reasonable at a rate of $4 per person

Answer:

1,080 square inches

Step-by-step explanation:

27 inches * 40 inches = 1,080 square inches

Answer:

C. 360-85=12h

Step-by-step explanation:

360=85+12h

360-85=12h

Since  the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function

The standard equation of a linear function is y = mx + b

where:

m is the slopee

b is the y-intercept

Using the coordinate point (1, 6) and (2, 9)

Find the slope

Slope = 9-6/2-1
Slope = 3/1

Slope = 3

For the y-intercept

Recall that y = mx + b

9 = 3(2) + b

b = 3

Determine the equation

y = 3x + 3

Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function.

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Answer:

The volume of a prism with a base area of 24.3 cm2 and height 14 cm

-4x-6=-5y+9y

-4x-6= 4y

-4x= 4y+6

4x=-4y-6

x= (-4y-6)/4

An expression in terms of s that represents the number of large bottles is :  L = [tex](\frac{15s}{2} /3})[/tex]

The company makes s small bottles every minute

let ; M represent the number of medium bottles made every minute

L represent the number of large bottles made every minute

small bottles to medium =  2 : 3

small bottles to medium =  s : M

M is the unknown, so to find how many medium bottles that has been made,  we must cross multiply

2M = 3s

M = [tex]\frac{3s}{2}[/tex]  medium bottles made every minute

medium bottles to large bottles =  3 : 5

medium bottles to large bottles =  M : L

where M = [tex]\frac{3s}{2}[/tex]

The equation becomes:

           3 : 5

           [tex]\frac{3s}{2}[/tex] : L

L is the unknown, so to find how many Large bottles that has been made,  we must cross multiply

3L =( [tex]\frac{3s}{2}[/tex] ) * 5

L = [tex](\frac{15s}{2} /3})[/tex]

L = ( [tex]\frac{5}{2}[/tex] s)

L = 2.5 s

therefore the large bottles the company makes every minute is 2.5s large bottles

we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s

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Step-by-step explanation:

Using the distance formula

√(x1-x2)²+(y1-y2)²

√(-3+5)²+(7-2)²

√(2)²+(5)²

√4+25

√29 units

The solutions of the given equation are x = 4 or x = -5.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.

Given is an equation, 3(x – 4)(x + 5) = 0 we need to find the solution of the equation,

So, we can see that the equation is a quadratic equation, so it will have two solutions,

The equation is already in factored form,

So,

3(x – 4)(x + 5) = 0

Solution,

x-4 = 0

x = 4

x+5 = 0

x = -5

Hence, the solutions of the given equation are x = 4 or x = -5.

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Answer:

10 apples

Step-by-step explanation:

Answer:

Intrest rate is 3645%

20(36.45%) = $4374

Step-by-step explanation:

Semi-annualy = 6 months

Start: $9,000

After 10-years (120 months): $13,373.53

Since it's gaining money every 6 months, it gains money over 20 months.

(120/6 = 20)

After removing the starting cost, it gains $4,373.53 over 20 months.

(13,373.53 - 9,000 = 4,373.53)

$4,373.53 spread out over 20 months equals around $218.68 every 6 months.

(4,373.53 ÷ 20 = 218.6765)

(218.6765 ≈ 218.68)

$218.68 over 6 months equals about $36.45 every month

(218.68 ÷ 6 = 36.44666)

(36.4666 ≈ 36.45)

The intrest rate is 3645%

(3645% ÷ 100% = 36.45)

Answer: X = 7

Step-by-step explanation:

1) 20 / 5 = 4

2) X - 2 = 5

3) 7 - 2 = 5

4) 4 x 5= 20

6) 20 / 5 = 4

7) X = 7