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bixtya [17]
3 years ago
14

Factorise fully 150-24d^2

Mathematics
1 answer:
solong [7]3 years ago
7 0
Answer: 6(5 + 2d)(5 - 2d)


Explanation:

150-24d^2 = 6(25 - 4d^2) = 6(5 + 2d)(5 - 2d)
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An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8).
MAVERICK [17]

Answer:

The last one.

Step-by-step explanation:

The standard form equation of an ellipse with foci on the y-axis is ...

  y²/a² +x²/b² = 1

where "a" and "b" are the lengths of the semi-major and semi-minor axes, respectively. If "c" is the distance from the center to the focus, then this relation also holds:

  b² +c² = a²

For this ellipse ...

  b² + 8² = 17²

  289 -64 = b² = 225 . . . . . subtract 8²

  b = 15 . . . . . . . . . . . . . . . . . take the square root

The equation of the ellipse is then ...

  y²/17² +x²/15² = 1

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3 years ago
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Which measure of variability is not resistant to extreme values?
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Answer: Range

Step-by-step explanation:

I just did it

6 0
3 years ago
You collected the following data about the colors of dresses at the prom:
cluponka [151]
Sum=14 + 37 + 22 + 56 + 33 = 152 => 100%
red = 14 => x%

100% / 152 = x / 14
x = 100 × 14 / 152
x = 1400 / 152
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a beach ball has a diameter of 2 feet. which of the following is closest to the volume of the beach ball. a.4.2ft b. 12.6ft c. 1
zloy xaker [14]

Answer: A

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7 0
3 years ago
Solve 3^x−5 = 9. (3 points) Select one: a. x = −3 b. x = 2 c. x = 7 d. x = 8
goldfiish [28.3K]
ANSWER

C. x=7

EXPLANATION

The given exponential equation is

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We rewrite the right hand side as 3 raised to exponent 2.

{3}^{x - 5} = {3}^{2}

Observe that the base of both sides of the equation are equal.

We now equate the exponents.

x - 5 = 2

Solve for x,

x = 2 + 5

x = 7

The correct choice is C.
4 0
4 years ago
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