Rectangle ABCD has a length of 8n – 8 and a width of 3n - 1.
Find the Area of Rectangle ABCD. Write the answer in Standard
Form.

Answer:

1. Quadrant 2

2. Quadrant 1

3. Quadrant 2

4. Quadrant 4

5. Quadrant 4

6. Quadrant 2

7. Quadrant 2

8. Quadrant 3

Step-by-step explanation:

For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.

The first quadrant (+, +)

The second quadrant (-, +)

The third quadrant (-, -)

The fourth quadrant (+, -)

Using these patterns we can state what order pair correlates to which quadrant.

(-2.5, 2.1) --> Q2

(1/2, 3/4) --> Q1

(-10, 13) --> Q2

(2.5, -5.5) --> Q4

(9, -10) --> Q4

(-12, 3.4) --> Q2

(-5/8, 5) --> Q2

(-6.4, -6.3) --> Q3

Cheers.

Answer:

Please see attached picture for full solution.

Answer:

It's 2 (z + 3)

Answer:

[tex]\pi=\frac{v}{hr^2}[/tex]

Step-by-step explanation:

So we have:

[tex]v=\pi r^2h[/tex]

And we want to solve for π.

First, divide both sides by h:

[tex]\frac{v}{h}=\pi r^2[/tex]

Now, divide both sides again by r²:

[tex]\pi=\frac{v}{hr^2}[/tex]

And this is our answer :)

Answer:

[tex]\frac{v}{r^{2} h} = \pi[/tex]

Step-by-step explanation:

Simply divide both sides by [tex]r^{2}h[/tex] to get pi by itself.

Answer:

The correct option is (a).

Step-by-step explanation:

We need to find the expression that is equivalent to 1.5(6x+3y)+2x-0.05y.

Firstly opening brackets as follows :

[tex]1.5(6x+3y)+2x-0.05y=1.5\times 6x+1.5\times 3y+2x-0.05y\\\\=9x+4.5y+2x-0.05y[/tex]

Now taking x terms and y terms together

[tex]9x+4.5y+2x-0.05y=(9x+2x)+(4.5y-0.05y)\\\\=11x+4.45y[/tex]

So, 1.5(6x+3y)+2x-0.05y is equal to 11x+4.45y.

Answer:

9

Step-by-step explanation:

If α and β are the zeros of ax² + bx + c = 0 , then

α + β = [tex]\frac{-b}{a}[/tex] ( sum of zeros ) and

αβ = [tex]\frac{c}{a}[/tex] ( product of zeros )

Given

x² + 5x + 8 = 0

with a = 1, b = 5, c = 8 , with zeros a and b, then

a + b = [tex]\frac{-5}{1}[/tex] = - 5

ab = [tex]\frac{8}{1}[/tex] = 8

Thus

(a + b)² = a² + 2ab + b² , that is

(- 5)² = a² + 2(8) + b²

25 = a² + 16 + b² ( subtract 16 from both sides )

9 = a² + b²

(60 m ; 120 m)

A = l×w = 7200m²

P = 2w + 2l = 360m

lw = 7200 => l = 7200/w

2(w + l) = 360 => w + l = 180

w + 7200/w = 180

w² + 7200 - 180w = 0

w² - 60w - 120w + 7200 = 0

w(w - 60) - 120(w - 60) = 0

(w - 60)(w - 120) = 0

w₁ = 60m => l₁ = 7200/60 = 120 m

w₂ = 120m => l₂= 60 m

Answer

Roughly, it would be 20.5

The exact answer is 21.05

Step-by-step explanation:

To roughly get the estimate you round it to the nearest 1st decimal place in this case. So it'd be 41.0 x 0.5

Answer:

81= 3 times x

its right on khan.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

[tex]9x - 3 - 8x = 7 - x\\x - 3 = 7 - x\\[/tex]

Move x's to one side, and numbers to the other.

Make it the opposite sign when you move it over. Since I'm subtracting 3, I'm going to add it to the other side, and add x. And then divide by 2 to solve for x

[tex]x + x = 7 + 3\\\\\frac{2x}{2} = \frac{10}{2}\\\\x = 5\\\[/tex]

Answer:

-5 times 12 is a binomial

Step-by-step explanation:

two terms = binomial

HOWEVER IF IT's -5.12 then it's a monomial because it's one term

If we firstly consider only the terms in x.

subtract 2x from both sides of the equation

⇒5+2x

−2x=2x−2x

+6

Observe that the x terms are eliminated and we are left with

5+0=0+6 that is 5=6 which is invalid

There is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Given

5 + 2x = 2x + 6 ( subtract 5 from both sides )

2x = 2x + 1 ( subtract 2x from both sides )

0 = 1 ← not possible

Thus indicates the equation has no solution

Answer:

17

Step-by-step explanation:

Let x = the number we have to find

From the given information, we have this equation:

(x + 5) / 2 = 11

<=> x + 5 = 11 . 2 = 22

<=> x = 22 - 5 = 17

Answer: 17

Step-by-step explanation:

I guess you would have to guess and check for this one.

17+5= 22

22/2 = 11

hope this helps

Answer:

Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.

Step-by-step explanation:

We must write the data problems.

Charmaine = $8.80/h mowing

Charmaine = $8.10/h babysitting

How much will Charmaine earn for 6 h mowing and 1 h babysitting?

1 h mowing ....................... $8.80

6 h mowing ....................... $x

x = 6 h mowing * $8.80

x = $52,8

To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.

$52,8 (from mowing) + $8.10 (from babysitting) = $60.90

Answer:

4ux³

Step-by-step explanation:

√8ux⁵ √2ux

√8*2 u*u x⁵*x

√16u²x⁶

4ux³

Answer:

a)5:2

b)14

c)17

Step-by-step explanation:

The ratio for babies to nursery workers is 5:2

To find the answer to b, we find how much you have to multiply 2 by to get 35, which is 7 and multiply that by the number of workers, 2, so you need 14 workers

To find the answer to c multiply 2 bye 3.5 to get 7 and multiply 5 by 3.5 to get 17.5 now rounf down so the answer to c is 17

Answer:

a)5:2 b)14 c)17

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

60x40=2400

2400/2=1200

1200/30=40

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

Answer:

[tex]\Huge \boxed{\mathrm{infinite \ solutions}}[/tex]

Step-by-step explanation:

[tex]\sf 12x + 1 = 3(4x + 1) - 2[/tex]

Using distributive property.

[tex]\sf 12x + 1 = 12x+3 - 2[/tex]

[tex]\sf 12x + 1 = 12x+1[/tex]

Subtracting 1 from both sides.

[tex]\sf 12x=12x[/tex]

Dividing both sides by 12.

[tex]\sf x=x[/tex]

All real numbers are solutions.

There are infinite solutions.

Answer:

a = [tex]\frac{b^2-d}{4c}[/tex]

x = 27y

Step-by-step explanation:

Order of Operations: BPEMDAS

Question 1

Step 1: Write out discriminant

d = b² - 4ac

Step 2: Subtract b² on both sides

d - b² = -4ac

Step 3: Divide both sides by -1

b² - d = 4ac

Step 4: Divide both sides by 4c

a = [tex]\frac{b^2-d}{4c}[/tex]

Question 2

Step 1: Write out equation

2/3(x - 18y) = 6y

Step 2: Distribute parenthesis

2/3x - 12y = 6y

Step 3: Isolate x by adding 12y on both sides

2/3x = 18y

Step 4: Divide both sides by 2/3

x = 27y

Answer:

Step-by-step explanation:

time=distance/speed

=4800/48

100

Answer:

[tex]\Huge \boxed{\mathrm{100 \ seconds}}[/tex]

Step-by-step explanation:

4.8 kilometers is 4800 meters.

[tex]\sf \displaystyle time \ (s) = \frac{distance \ (m) }{speed \ (m/s)}[/tex]

[tex]\sf \displaystyle t = \frac{4800}{48}[/tex]

[tex]\sf \displaystyle t = 100[/tex]

It will take the object 100 seconds.

Greetings from Brasil...

Let's isolate N. For that we will pass the - 8 to the second member:

n - 8 = - 3

n = - 3 + 8

n = 5

Answer:

x=-16

Step-by-step explanation:

4x– 15 = 17 - 4x+10x

4x+4x-10x = 17+15

-2x=32

-x=16

x=-16

Answer:

X>3

Step-by-step explanation:

X+9<4X

x-x+9<4x-x

9<3x

3<x

Answer:

p = - 14

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Note 81 = 9² and 729 = 9³

Given

[tex](81)^{-4}[/tex] ÷ [tex](729)^{2-p}[/tex]

= [tex](9^{2}) ^{-4}[/tex] ÷ [tex](9^{3}) ^{2-p}[/tex]

= [tex]9^{-8}[/tex] ÷ [tex]9^{6-3p}[/tex]

= [tex]9^{-8-(6-3p)}[/tex]

= [tex]9^{-8-6+3p}[/tex]

= [tex]9^{3p-14}[/tex]

Thus

[tex]9^{3p-14}[/tex] = [tex]9^{4p}[/tex]

Since bases on both sides are equal then equate the exponents

4p = 3p - 14 ( subtract 3p from both sides )

p = - 14

Answer:

12.2 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 20.74 and b = 3.4 , thus

[tex]\frac{1}{2}[/tex] × 3.4 × h = 20.74 ( multiply both sides by 2 to clear the fraction )

3.4h = 41.48 ( divide both sides by 3.4 )

h = 12.2 cm

h = 12,2 cm

Area formula

A = b×h/2

20.74 = 3.4×h/2

41.48 = 3.4h

h = 41.48/3.4

h = 12,2 cm

Answer:

volume is the correct answer

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\frac{-5}{2}b -15}[/tex]

Step-by-step explanation:

[tex]\displaystyle (-14+\frac{3}{2}b )-(1+\frac{8}{2} b)[/tex]

Distributing the negative sign to the terms in the bracket.

[tex]\displaystyle -14+\frac{3}{2}b -1-\frac{8}{2} b[/tex]

Grouping the like terms in the expression.

[tex]\displaystyle (-\frac{8}{2} b +\frac{3}{2}b) +(-1-14)[/tex]

Combining the like terms in the expression.

[tex]\displaystyle (\frac{-8+3}{2}b) +(-15)[/tex]

[tex]\displaystyle (\frac{-5}{2}b) +(-15)[/tex]

Answer:

B. 9 in

Step-by-step explanation:

The area covered by the fabric ([tex]A[/tex]) is represented by the following formula:

[tex]A = l^{2}[/tex]

Where [tex]l[/tex] is the side length of the canvas, measured in inches, and which is now cleared:

[tex]l = \sqrt{A}[/tex]

If [tex]A = 77.8\,in^{2}[/tex], then:

[tex]l = \sqrt{77.8\,in^{2}}[/tex]

[tex]l \approx 8.82\,in[/tex]

Which corresponds to option B.