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sattari [20]
4 years ago
11

write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.​

Mathematics
1 answer:
tigry1 [53]4 years ago
5 0

Answer:

A = 5x² + 6x + 1

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (a + b)

where h is the height and a, b the parallel bases, thus

A = \frac{1}{2} (x + 1)(6x - 5 + 4x + 7)

   = \frac{1}{2} (10x + 2)(x + 1)

   = (5x + 1)(x + 1) ← distribute using FOIL

   = 5x² + 6x + 1

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Solve this equation(15x^3- 2)^3= 2197
aliya0001 [1]

Answer:

x=1

Step-by-step explanation:

(15x^3- 2)^3= 2197

Take the cube root of each side

(15x^3- 2)^3 ^ 1/3= 2197^ 1/3

15x -2 = 13

Add 2 to each side

15x^3- 2+2= 13+2

15x^3 =15

Divide each side by 15

15x^3 /15 =15/15

x^3 =1

Take the cube root of each side

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3 years ago
What are some Solutions to the linear equation?: 3x+y=-8
svetlana [45]

9514 1404 393

Answer:

  (0, -8), (1, -11), (-1, -5)

Step-by-step explanation:

It is convenient to solve for y and choose values of x.

  y = -3x -8 . . . . . subtract 3x from both sides of the equation

Now, any integer value of x you choose will result in an integer value of y. Often, it is convenient to choose values near zero.

  x = -1, y = -3(-1) -8 = 3 -8 = -5 . . . . solution: (-1, -5)

  x = 0, y = -3(0) -8 = -8 . . . . solution: (0, -8)

  x = 1, y = -3(1) -8 = -11 . . . . solution: (1, -11)

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3 years ago
A car is traveling at 60 kilometers per hour how many meters per second is that
kiruha [24]

60 \times 1000 = 60000 \div 60 \div 60 = 16.66
4 0
4 years ago
Solve |x| + 7 < 4. Please help
PilotLPTM [1.2K]

Answer:

  no solution

Step-by-step explanation:

Subtract 7 from both sides of the inequality:

  |x| +7 -7 < 4 -7

  |x| < -3

This has <u>no solution</u>, because an absolute value cannot be negative.

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Vikki [24]
The digit in the tenths place is 8.
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2 years ago
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