factor out the gcf from each polynomial 30x^2-18x^3+6x^4

Answer: 33

If you put all the numbers In order from least to greatest and find the middle number you'll get the answer

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

Answer:

y = -x + 11

Step-by-step explanation:

The slope of the line y = -x + 4 is -1.

So the slope of our line is also -1 ( because they are parallel).

First use the point-slope form of the equation of a line:

y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.

Here m = -1 and (x1, y1) = (6, 5).

So we have:

y - 5 = -1(x - 6)

y - 5 = -x + 6

y = -x + 11  <------ Slope intercept form.

Answer:

Step-by-step explanation:

Answer: $178.50

Step-by-step explanation:

If Alex is paid a piecework rate of $8.50 per motor, then;

Price per motor assembly = $8.50

By assembling 21 motors Alex gets,

1 motor = $8.50

21 motors = (21 * $8.50) / 1

= $178.50 / 1

= $178.50

By assembling 21 motors,

Alex gets $178.50

Answer:wait can you umm rewrite this i dont get it

Step-by-step explanation:

Answer:

54%

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

Trust me

Answer:

B is twice the size of A, so the ratio would be 2:1.

Step-by-step explanation:

Answer:

The population would be 1 million in 2024.

Step-by-step explanation:

In order to find the answer you can use the population growth formula:

A= P*e^rt

A=Population after time=1,000,000

P= Starting population=705,000

e= Euler number that is equal to 2.718

r= rate of growth=0.0151

t= time

Now, you can replace the values on the formula and solve for t:

1,000,000 = 705,000*e^0.0151t

1,000,000/705,000 = e^0.0151t

ln(1,000/705) = ln(e^0.0151t)

ln(1000/705) = 0.0151t

t = [ln(1000/705)]/0.0151

t = 23.14 years

According to this, the answer is that the population would be 1 million in 2024.

3+(5+4)(8-6)

3+(9)(2)

3+18

21

Answer:

26 units^2

Step-by-step explanation:

You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.

Triangle 1 = 1/2(2 x 7) = 7

Triangle 2 = 1/2(2 x 7) = 7

Triangle 3 = 1/2(2 x 6) = 6

Triangle 4 = 1/2(2 x 6) = 6

Total Area                   = 26

The area of the kite is 26 units^2

Answer:

1. Combine the like terms from all 3 sections then subsite for X.

2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.

Step-by-step explanation:

The two ways to find the total area of the park are:

Add the Areas of Each Section

Use Geometric Shapes

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Method 1:

Add the Areas of Each Section

We can find the total area of the park by adding the areas of each section. Therefore, the total area is:

Total Area = Game field + Picnic field + Recreation area

Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)

Total Area = 3x² + 175x + 1200 ft²

Method 2:

Use Geometric Shapes

Another way to find the total area of the park is to use geometric shapes that represent each section.

We can see that the Game field and Picnic field have the same area of

x² + 95x + 450 ft², which we can represent as a rectangle.

The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.

Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.

Total Area = Area of Rectangle + Area of Triangle

Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)

Total Area = 3x^2 + 175x + 1200 ft^2

Thus,

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer: See explanation

Step-by-step explanation:

We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:

x² + 3² = 5²

x² + 9 = 25

x² = 25 - 9

x² = 16

x = ✓16

x = 4cm

The other leg is 4cm

Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.

Answer:

(B)negative slope

(C)constant slope

(E)decreasing function

Step-by-step explanation:

just took the test :)

Answer:

B,C,E

Step-by-step explanation:

Answer:

[tex]x=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.

In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:

[tex]4x+5=8[/tex]

[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])

[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

Answer:

figure 1 is 8.5 units^2 and figure 2 is 3 units^2 and the average are is 5.25 units^2

The overestimated area, the underestimated area, and the average area will be 8.5 units², 3 units², and 2.75 units², respectively.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Since the area is covered with either a square or a triangle. Therefore, we can write the area of this two as,

Area of a square = 1 unit × 1 unit = 1 unit²

Area of triangle = 0.5 × 1 unit × 1 unit = 0.5 units²

The overestimated area, the number of square and triangles are,

Number of square = 6

Number of triangle = 5

Total overestimated area = (6×1unit²) + (5×0.5unit²) = 8.5 unit²

The under estimated area, the number of square and triangles are,

Number of square = 2

Number of triangle = 2

Total Underestimated area = (2×1unit²) + (2×0.5unit²) = 3 unit²

Furthermore, the average area is,

Average area = (Total overestimated area - Total Underestimated area)/2

                       = (8.5 units² - 3 units²) / 2

                       = 5.5  units² / 2

                       = 2.75 units²

Hence, the overestimated area, the underestimated area, and the average area will be 8.5 units², 3 units², and 2.75 units², respectively.

Learn more about Area here:

https://brainly.com/question/1631786

#SPJ2

(18/2)+6/6+3

Step-by-step explanation:

(18/2)=9

6/6=1

9+1=10

10+3=13

Use PEMDAS

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{C \: O \: R\: R \: E \: C \: T \: I \: O \: N}}} }: [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\:E \: N}}} }: [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: F \: I \: N \: D}}}} : [/tex]

✎ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]

[tex] \text{Cost \: of \: 1 \: exercise \: book }= \tt{ \frac{840}{12} = \$ \: 70 }[/tex]

[tex] \text{Cost \: of \: 4 \: exercise \: books} = \tt{ \$70 \times 4} = \boxed{ \tt{ \$280}}[/tex]

[tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{ \$ \: 280}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night !ツ

Let me know if have any questions regarding my answer! ♪

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Step-by-step explanation:

the volume would be inside of the spear so i could be wrong but you would do 10 multiplied by 21 and you get 210. IF you did base and height the base would be 10ft and the height would be 21ft then you just do base times height and that gets you 210 . i could be wrong though

Answer:

what did you get?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Christy took as many pears as Lily got apples.

Answer:

Answer should be 5/2 I thinkkkkk

Answer:

2.5 or can be 5/2

Step-by-step explanation:

Answer:

I guess the dude in the comments helped you out first but when that answer gets deleted this will be here

Step-by-step explanation:

plz give big brain crown

Answer:

False

Step-by-step explanation:

This is because there both above sea level and 50-17=33 not -33

Answer:

BC=4

Step-by-step explanation:

didn't i do this already lol