A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter

Answer:

60

Step-by-step explanation:

Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.

Answer:

(5x2y3+1)(5x2y3−1)

Step-by-step explanation:

In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)

Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).

Answer:

8

Step-by-step explanation:

[tex]\sqrt{\frac{256}{4} }[/tex]

[tex]\sqrt{\frac{16*16}{2*2} }[/tex]

[tex]\sqrt{(\frac{16}{2})^2 }[/tex]

square and root gets cancel . so ,

[tex]\frac{16}{2}[/tex]

8

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

Answer:

Hourly rate = 130.50

3-hour session = 391.50

Step-by-step explanation:

Part 1

Step 1: Divide the given figures

522.00/4 = 130.50

Step 2: Multiply the result to the number being looked for

130.50 * 1 = 130.50

So, Arnold’s hourly rate is 130.50

Part 2

Step 1: Multiply the answer found in part one to 3

130.50 * 3 = 391.50

Therefore, Arnold’s would charge $391.50 in a 3-hour session

Step-by-step explanation:

24$

Answer:

x = -2, y = 5/3

Step-by-step explanation:

we have the value of x already (-2).

x=-2

Plug it into the first equation y = 2/3x+3

y = 2/3(-2)+3

y = -4/3+3

y = -4/3+9/3

y = 5/3

x = -2, y = 5/3

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

y=-5x+17

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would add '5' to the y-intercept (12) to make a translation up 5 units.

y = -5x + 12 + 5

y = -5x + 17

Hope this helps.

Answer:

x+y=80 i.e. 5x+5y=400 multiplying both sides by 5

now 5x+8y=535

therefore 3y=535-400=135

therefore y=135/3=45

now x=80-y=80-45=35

therefore final answer x is 35 y is 45

Answer:

x=35, y=45

Step-by-step explanation:

x+y=80=>5x+5y=400 so (5x+8y)-(5x+5y)=535-400

<=>3y=135<=>y=45=>x=80-y=80-45=35

Answer:

A. 0.3x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

0.8

¯

3

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

0.8

¯

3

x

y

−

2

1.2

−

1

0.3

0

0

1

0.3

2

1.2

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

1

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

16

x

y

−

2

−

16

−

1

−

4

0

0

1

−

4

2

−

16

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

5

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

16

x

y

−

2

−

16

5

−

1

−

4

5

0

0

1

−

4

5

2

−

16

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

4

3

−

1

1

3

0

0

1

1

3

3

3

Answer:

m²n⁵

Step-by-step explanation:

m²n³ / n-²

The exponent changes sign when "flipped" from division to multiplication

m²n³ * n²

m²n⁵

Answer:

A la empresa le faltan confeccionar 344 chompas.

Step-by-step explanation:

Dado que una empresa quiere confeccionar 720 chompas, si el 1er día confeccionaron los 3/10 del total y el 2do día los 2/9 del total, para determinar cuántas chompas le falta confeccionar se debe realizar el siguiente cálculo:

Día 1:

720 x 3/10 = X

720 x 0.3 = X

216 = X

Día 2:

720 x 2/9 = X

720 x 0.22222 = X

160 = X

720 - 216 - 160 = X

344 = X

Por lo tanto, a la empresa le faltan confeccionar 344 chompas.

Answer: x = 4.5

Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.

  x + x = 9

  2x = 9

÷2    ÷2

---------------------

 x = 4.5  

x + x = 9

4.5 + 4.5 = 9

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

2p + 4b = 42

7p + 9b = 107

p = $5

b = $8

Step-by-step explanation:

p is cost of plant, b is cost of bush

2p + 4b = 42

7p + 9b = 107

First we'll solve the first equation for p in terms of b:

2p + 4b = 42

subtract 4b from both sides

2p = -4b + 42

divide both sides by 2

p = -2b + 21

Now substitute that value in for p in the second equation, and solve for a numerical value of b:

7(-2b + 21) + 9b = 107

-14b + 147 + 9b = 107

combine like terms:

-5b = -40

b = 8

Use this to go back and solve for p:

p = -2b + 21

p = -2(8) + 21

p = -16 + 21 = 5

---------------------------

check the math:

2p + 4b = 42

2(5) + 4(8) = 10 + 32 = 42

Answer:

D. Yes; the graph passes the vertical line test.

Step-by-step explanation:

1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.

2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.

3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.

4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."

Answer:

B. Linear decreasing

Step-by-step explanation:

Answer:

Linear decreasing;

Straight line = linear

Slope downwards (from left to right) = decreasing function

Answer:

X= 7.5 Y=75

Step-by-step explanation:

Answer:

-7/3 +\- 1/3i

Step-by-step explanation:

Answer:

Step-by-step explanation:

cash in bank = 79

overdraft = 27

left = 79 - 27

     = 52

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

Answer:

22 feet

Step-by-step explanation:

When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.

Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

x(x+1)-2(x+1)

(x+1)(x-2)

x=-1 or 2

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

Answer:

b.The stocks have a yield 6.84 percentage points greater than that of the bonds.    Step-by-step explanation: got it right on edge 2022!

Answer:

y = -4x + 17

Step-by-step explanation:

y = -4x + b

5 = -4(3) + b

5 = -12 + b

17 = b