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4 years ago

PLEASE HELP ME!!! HIGHSCHOOL MATH!!!

Mathematics

1 answer:

inna [77]4 years ago

4 0

We know that
the equation of a vertical parabola in vertex form
y=a*(x-h)²+k
(h,k)------> (0,5)
y=a*(x-0)²+5
y=a*x²+5
substitute the point (2,9) in the equation
9=a*(2)²+5------> 9=4*a+5-------> 4*a=9-5-----> 4*a=4-----> a=1

the equation of the vertical parabola is
y=x²+5

the equation of a horizontal parabola in vertex form
x=a*(y-k)²+h
(h,k)------> (0,5)
x=a*(y-5)²+0
x=a*(y-5)²
substitute the point (2,9) in the equation
2=a*(9-5)²------> 2=16*a------> a=1/8

the equation of the horizontal parabola is
x=(1/8)*(y-5)²

the answer is
the equation of the vertical parabola is y=x²+5
the equation of the horizontal parabola is x=(1/8)*(y-5)²

see the attached figure

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36 pints of paint. They need divided into 11 small containers. If they are poured equally, how many pints of paint would b in ea

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Answer:

3.27 pints

Step-by-step explanation:

36 divided by 11 = 3.27 pints

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3 years ago

write the equation of the line that passes through the point (2,-3) and is perpendicular to the line y=-2x+3. And how do you fin

pogonyaev

Answer:

y=2x-7

Step-by-step explanation:

The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.

Firstly, let's assess what know and what we don't:

Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.

All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.

y=mx+b

-3=2(2)+b

-3=4+b

-3-4=b

-7=b

Now that we have b, we can write the equation:

y=2x-7

3 0

3 years ago

The center is (2,5) and the radius is 9

kiruha [24]

Answer:

(x-2)2+(y-5)2=92

(x-2)2+(y-5)2=81

Step-by-step explanation: Center:(2,5)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:9

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:18

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*9 = 56.5486677646163

The circumference of a circle is the distance around it.

Area:254.469004940773

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

The standard form for the equation oif a circle is

(x-a)2+(y-b)2=r2

And in our particular case:

(x-2)2+(y-5)2=92

(x-2)2+(y-5)2=81

The general form for the equation of a circle is

x2 + y2 + Ax + By + c = 0

We can get the general form by expanding the equation of the standard form

(x-a)2+(y-b)2=r2

(x-2)2+(y-5)2=92

(x-2)2+(y-5)2=81

x2-4x+4+y2-10y+25=81

x2+y2-4x-10y-52=0

5 0

4 years ago

Students and adults purchased tickets for a recent basketball playoff game. All tickets were sold at the ticket booth-season pas

il63 [147K]

Answer:

$\displaystyle 200\:adult\:tickets \\ 500\:student\:tickets$

Step-by-step explanation:

{700 = S + A

{4500 = 5S + 10A

−⅒[4500 = 5S + 10A]

{700 = S + A

{−450 = −½S - A >> New Equation

_____________

$\displaystyle \frac{250}{\frac{1}{2}} = \frac{\frac{1}{2}S}{\frac{1}{2}}$

$\displaystyle 500 = S$ [Plug this back into both equations above to get the A-value of 200]; $\displaystyle 200 = A$

6 0

4 years ago

Read 2 more answers

What it the radius of a sphere if the volume is 41.63

Ilia_Sergeevich [38]

The radius is 2.15
hope this helps

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3 years ago