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yan [13]
3 years ago
14

Which equation is equivalent to

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0
It is the last equation. You square both sides. 
Xelga [282]3 years ago
3 0
The last equation is correct
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Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a squa
rusak2 [61]

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

5 0
3 years ago
Sophia used the Order of Operations to simplify 4(5 - 2) to 4x3.
Alchen [17]

Answer:

  • Yes

Step-by-step explanation:

<u>Order of operations, use the operation within the parenthesis:</u>

  • 1) 5 - 2 = 3
  • 2) 4*3 = 12

<u>Distributive property, a(b + c) = ab + ac:</u>

  • 1) 4*5 - 4*2 = 20 - 8
  • 2) 20 - 8 = 12

Both ways are correct and lead to same result

5 0
3 years ago
How do i figure out of this opens up or down?
KATRIN_1 [288]
It opens up 
axis of symmetry is x=1
vertex is 1,0

x intercepts is -1,0,1,2,3,
y intercepts is 4, 1,0,1,4
3 0
3 years ago
1) Determine the unit rate of travel for each animal by dividing the distance traveled (y) by the
notsponge [240]

Answer:

It takes the Dolphin 2 hours for swimming 40 miles. The penguin takes 8 hours and the swordfish will take 2/3 of an hour, which is 40 minutes to travel 40 miles.

Step-by-step explanation:

Given :

The bottlenose dolphin travels 40 miles in 2 hours. Or it takes 20 miles in 1 hour.

Now, dividing the distance by unit rate given in the question:

40/20=2 hours

40/5=8 hours

40÷60= 2/3 hour

Therefore,

- the dolphin takes 2 hours for swimming 40 miles.

- the penguin takes 8 hours

- the swordfish takes 2/3 rd of an hour

5 0
3 years ago
Read 2 more answers
Need understanding how to do this
kkurt [141]

Answer:

  • 102 + (3x +2) = 180 . . . . equation to solve
  • x = 25 1/3 . . . . . . . . . . . . value of x

Step-by-step explanation:

It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.

Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.

  102 + (3x +2) = 180 . . . equation used to solve for x

  3x = 76 . . . . . . . . . . . . . subtract 104

  x = 76/3 . . . . . . . . . . . . divide by 3

  x = 25 1/3 . . . the value of x

7 0
3 years ago
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