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2 years ago

13

USLI5

1 answer:

Reptile [31]2 years ago

4 0

For #3.

Zeros are 3 and -1 (plot them on the x-axis as a point)

Axis of symmetry is halfway between those so it’s: x=1

Vertex is (1, -4)

Y-intercept is (0,-3)

Domain is always all real numbers
Range is y is greater than or equal to -3

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Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 )left parenthesis, 0, comma

steposvetlana [31]

Answer:

$\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) $\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }$ .

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

$\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

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3 years ago

Square root of 75000

Oduvanchick [21]

The square root of 75000 is 273.86

7 0

3 years ago

Read 2 more answers

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Elden [556K]

The answer is
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2 years ago

What is the value of the 9th term in the following geometric sequence?

earnstyle [38]

Answer: The correct option is (D) 196608.

Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :

3, 12, 48, 192, . . .

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

$a_n=ar^{n-1}.$

For the given sequence, we have

first term, a = 3 and the common ratio, r is given by

$r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.$

Therefore, the 9th term of the given sequence will be

$a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.$

Thus, the required 9th term of the given sequence is 196608.

Option (D) is CORRECT.

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3 years ago

Starting from the origin, how is point ( – 2, – 6) plotted?

OleMash [197]

I would say b the reason is because -2 is on the x and -6 in on the y so it would be left then down.

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2 years ago