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bija089 [108]
3 years ago
11

A rectangle on a coordinate plane has vertices at (7, 5), (–7, 5), (–7, –2), and (7, –2). What is the perimeter of the rectangle

?
Mathematics
2 answers:
Aleks04 [339]3 years ago
6 0

Answer:

7 think

Step-by-step explanation:7

yuradex [85]3 years ago
6 0

20 units

Step-by-step explanation:

....................................

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Write a statement that correctly describes the relationship between these two sequences: 6, 7, 8, 9, 10, and 18, 21, 24, 27, 30.
Paul [167]

Answer:

so my educated guess is that they both follow the patern of even odd even. the first goes up 1 but the secound goes up three.. the first is factors of one and the secound is factors of three. so i do not see a simularity there sorry if that is not enough.

Step-by-step explanation:

6 0
3 years ago
An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out squares of equal size from the fou
Burka [1]

Answer:

Maximum volume of the box will be 7.41 cubic feet.

Step-by-step explanation:

Open box has been made from a metal sheet measuring 3 ft and 8 ft.

Let four square pieces were removed from the four corners with one side measurement x ft.

Volume of the open box = Length × width × height

Length of the box = (3 - 2x) ft

Width of the box = (8 - 2x) ft

Height of the box = x ft

Volume of the box = (3 - 2x)(8 - 2x)x

V = (24 - 6x - 16x + 4x²)x

V = 24x - 22x² + 4x³

Now we take the derivative of V with respect to x and equate the derivative to zero,

\frac{d}{dx}(V)=\frac{d}{dx}(24x - 22x^{2}+4x^{3})

V' = 24 - 44x + 12x²

V' = 0

12x² - 44x + 24 = 0

3x² - 11x + 6 = 0

3x² - 9x - 2x + 6 = 0

3x(x - 3) - 2(x - 3) = 0

(3x - 2)(x - 3) = 0

(3x - 2) = 0

and (x - 3) = 0

Therefore, x = 3, \frac{2}{3}

For x = 0.67

Length of the box = (3 - 2x) = 3 - 1.34

                              = 1.66 ft

Width of the box = (8 - 2x) = 8 - 1.34

                            = 6.66 ft

Volume of the box = 0.67 × 1.66 × 6.66

V = 7.41 cubic feet.

Similarly, for x = 3,

Length of the box = (3 - 2\times 3) = -3

which is negative but the length of the box can not be negative.

Therefore, maximum volume of the box will be 7.41 cubic feet.

6 0
3 years ago
What is the answer to f/2 =5/8
coldgirl [10]
F=2*5/8 which is 5/4
8 0
3 years ago
Read 2 more answers
1) check if they given ordered pairs are solutions to the equation or not.
ziro4ka [17]
Answer: a) Yes
b) No


Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎

Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.

*You can use the same method for question b).*
3 0
3 years ago
Given two points (2, 7) and (1, -2) on a line, calculate the slope of the line.
Kipish [7]

Answer:

Step-by-step explanation:

Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9

7 0
2 years ago
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