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SVEN [57.7K]
3 years ago
8

Traveling to Vietnam,a plane encounters a tailwind and averages 289 mph.However ,on the return trip the plane , now traveling ag

ainst the same wind averages 257mph. Find the speed of the wind and the speed of the plane in no wind

Mathematics
2 answers:
Daniel [21]3 years ago
5 0
2 * plane speed in still air = 289mph + 257mph = 546
plane speed in still air = 273 mph

plane speed in still air + wind speed = 289
273 + wind speed = 289
Therefore, wind speed = 16 mph


maks197457 [2]3 years ago
3 0
The answer to your question is 16 mph
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Yuri [45]

Answer:

A

Step-by-step explanation:

Solution is in this picture.

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3 years ago
Mr. Ramirez has enough money to fence one of his rose gardens, how many feet of fencing will he need if both gardens have the sa
Irina-Kira [14]
He will need double the amount of what he would need for the one garden.
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3 years ago
Which graph represents the function of f(x) 9x^2 -36 / 3x + 6
Finger [1]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}-36}{3x+6}

Remember that the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

<em>Simplify the numerator</em>

9x^{2}-36=(3x+6)(3x-6) ----> by difference of squares

substitute

f(x)=\frac{(3x+6)(3x-6)}{3x+6}

simplify

f(x)=3x-6

The domain is all real numbers except the value of x=-2

The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)

therefore

The graph in the attached figure

7 0
3 years ago
If a square has a sides of 12xy+1 it's perimeter is
Rudik [331]
Side = 12xy+1

Perimeter = 4(12xy+1) 
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8 0
4 years ago
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B
Step2247 [10]

Answer:

<em>The coordinates of P are (-2,0)</em>

<em>The radius of the circle is 5.</em>

Step-by-step explanation:

<u>Analytic geometry</u>

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

Substituting x1=-6, x2=2, y1=3, y2=-3:

\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2

\displaystyle y_m=\frac{3-3}{2}=0

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting x1=-6, x2=-2, y1=3, y2=0:

r=\sqrt{(-2+6)^2+(0-3)^2}

r=\sqrt{4^2+(-3)^2}

r=\sqrt{16+9}=\sqrt{25}=5

The radius of the circle is 5.

4 0
3 years ago
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