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kirza4 [7]
2 years ago
9

Identify the number that does not belong with the other three. Explain your reasoning.

Mathematics
2 answers:
Nastasia [14]2 years ago
8 0

Answer:

I would say the square root of 48 is the odd one out because it is the only irrational number

All the other numbers can be written as p/q except sqrt 48

myrzilka [38]2 years ago
8 0

Answer:

Step-by-step explanation:

It Should be √48 because it is the only irrational number

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Sholpan [36]
1) We have that the equation is x^2=20y , hence y=x^2/20. The standard equation of such an equation is y=\frac{1}{4p} x^2. Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is x=3y^2 \\  \frac{1}{4p} =3. Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y=y=\frac{1}{4p} x^2= \frac{1}{36 } x^2.
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: y= \frac{1}{4p} x^2 we get y=\frac{1}{32} x^2.
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the formx= \frac{1}{4p} y^2. Substituting p=7, we get x= \frac{1}{28} y^2.
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). -a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378. Thus a=0.378. Hence the correct expressions is y=-0.378*x^2
7 0
3 years ago
Read 2 more answers
Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.
Svet_ta [14]
S=[h(2h/tanθ+w+w)]/2
6 0
3 years ago
Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.
tresset_1 [31]

Answer:

3× + 16 = 22.75

3× = 22.75 - 16

<u>3x</u><u> </u>= <u>6</u><u>.</u><u>75</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>3 3

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7 0
2 years ago
john is looking at a map with a scale of 1/4 inch=20 miles. he measured the distance from his home to the bowling alley in town
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2 years ago
The college that Dora attends is selling tickets to the annual
Ksenya-84 [330]

Answer:

The solution of the system of equations is (11, 12)

Step-by-step explanation:

∵ The price of each student ticket is $x

∵ The price of each adult ticket is $y

∵ They sold 3 student tickets and 3 adult tickets for a total  of $69

∴ 3x + 3y = 69 ⇒ (1)

∵ they sold 5  student tickets and 3 adults tickets for a total of $91

∴ 5x + 3y = 91 ⇒ (2)

Let us solve the system of equations using the elimination method

→ Subtract equation (1) from equation (2)

∵ (5x - 3x) + (3y - 3y) = (91 - 69)

∴ 2x + 0 = 22

∴ 2x = 22

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{22}{2}

∴ x = 11

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(11) + 3y = 69

∴ 33 + 3y = 69

→ Subtract 33 from both sides

∵ 33 - 33 + 3y = 69 - 33

∴ 3y = 36

→ Divide both sides by 3

∵ \frac{3y}{3}=\frac{36}{3}

∴ y = 12

∴ The solution of the system of equations is (11, 12)

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2 years ago
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