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3 years ago

The product of two consecutive even integers is 224. what are the 4 integers?

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

Answer:

-16 and -14

14 and 16

Step-by-step explanation:

Let's say x is the smaller integer and x+2 is the larger integer. Their product is 224.

x (x + 2) = 224

x² + 2x = 224

Complete the square and solve for x.

x² + 2x + 1 = 225

(x + 1)² = 225

x + 1 = ±15

x = -16 or 14

x + 2 = -14 or 16

So the integers are either -16 and -14, or 14 and 16.

Lisa [10]3 years ago

7 0

Answer:

2*112

4*56

8*28

14*16

Step-by-step explanation:

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3 years ago

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The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector

Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

$x^{2}=4py$ (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

$x^{2}=4(6)y=24y$ (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

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3 years ago

Find the missing values in the following figures

jekas [21]

Answer:

15.

x = 40/9 = 4 4/9

z = 24/5 = 4 4/5

17.

x = 50

y ≈ 11.5

Step-by-step explanation:

15. Corresponding segments are proportional:

top right side / whole right side = x / 8

5/(5+4) = x/8

x = 8(5/9) = 40/9

x = 4 4/9

right side bottom / right side top = z / 6

z = 6(4/5) = 24/5

z = 4 4/5

____

17. The acute angles are complementary:

x = 90 -40 = 50

From the Pythagorean theorem:

y = √(15² -9.6²) = √132.84

y ≈ 11.5

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3 years ago

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Oduvanchick [21]

Answer:D

Step-by-step explanation:

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3 years ago

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eduard

Answer:

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Step-by-step explanation:

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3 years ago