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3 years ago

Graph x2 + 9y2 = 25. What are the domain and range? Someone please help me ! (Picture below)

1 answer:

4 0

The equation is equivalent to x2/25 + y2/(25/<span>9)</span>= 1, it is an ellipse equation
the center is C(0,0)
a=5; b= 5/3, so a>b it is a horizontal major axis type (the x-axis)
all that you do is to find all characteristics by following all required formula

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1/4=something 8 plz help me

gayaneshka [121]

Answer:

1/4 = 0.25

Step-by-step explanation:

8 0

3 years ago

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Simplify the expression completely. (5√50-3√200+3√18)

Kaylis [27]

Answer:

$4\sqrt{2}$

Step-by-step explanation:

$5\sqrt{50} - 3\sqrt{200} + 3\sqrt{18}$ =

= $25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2}$ = $4\sqrt{2}$

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3 years ago

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If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2

Elza [17]

Answer:

p^2 + q^2 = 22/9.

Step-by-step explanation:

For a quadratic function ax^2 + bx + c if the zeroes are A and B then

A + B = -b/a and AB = c/a.

2x^2 - 7x + 3

Now p and q are the zeroes of the above function so

p + q = 7/3 and pq = 3/2.

Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

= 49/9 - 3

= 49/4 - 27/9

= 22/9.

4 0

3 years ago

A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a

OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

$x + y = 27$ => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

$14x + 7y = 294$ => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × $x + y = 27$

1 × $14x + 7y = 294$

Thus:

$7x + 7y = 189$ => equation 3

$14x + 7y = 294$ => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

$x + y = 27$

$15 + y = 27$

Subtract both sides by 15

$y = 27 - 15$

$y = 12$

The ordered pair would be (15, 12)

7 0

3 years ago

What is tan angle QTR if line PR is tangent to circle T at Q, and TS = 1 cm?

lions [1.4K]

Tangent = opposite / adjacent

In the diagram:
TQ is the short leg or the opposite
QR is the long leg or the adjacent
TR is the hypotenuse. TS is part of the hypotenuse.

Tan(QTR) = TQ / QR

TS = 1 ; TQ = TS so, TQ = 1

Tan(QTR) = 1/QR

I think the answer is C.RQ

3 0

3 years ago