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Lesechka [4]
2 years ago
13

Find three consecutive even integers such that the sum of 5 and the second is multiplied by -7, the result is 11 greater than 5

times the opposite of the third
Mathematics
1 answer:
Rudiy272 years ago
8 0

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.

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Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, round
Ann [662]

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area =  2al.

Given the following:

  • a = 11 cm
  • l = 15 cm

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area =  2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

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2 years ago
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Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-ax
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Option 1

Step-by-step explanation:

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4 years ago
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from
MatroZZZ [7]

Answer: $7,605

Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

= Principal * (1 + rate)^ no. of periods

= 6,500 * (1 + 17%)

= $7,605

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Which of these fractions is a recurring decimal?
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2. In factored form, a quadratic function can be written as y= (-2- x) (x-8). This parabola goes through the points (-2, 0) and
Trava [24]

The vertex of the given parabola is the point (3, 25).

<h3>How to get the vertex of the parabola?</h3>

If the parabola has roots x₁ and x₂, then the vertex of the parabola is at:

xₙ = (x₁ + x₂)/2

Here the parabola is:

y = (-2 - x)*(x - 8)

We can rewrite that to:

y = -(x + 2)*(x - 8)

Then the two roots are:

x = -2 and x = 8

Then the vertex is at:

xₙ = (8 - 2)/2 = 6/2 = 3

To get the y-value of the vertex, we evaluate the equation in x = 3:

y = -(3+ 2)*(3 - 8) = -5*(-5) = 25

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