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Bingel [31]
2 years ago
13

If y varies directly with x and y is 12 when x is 9, what is x when y is 4?

Mathematics
1 answer:
Zolol [24]2 years ago
8 0

Answer:

3

Step-by-step explanation:

y/x=12/9=4/3

when y is 4 x is 3

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If the circumference is 31.4, what are the radius and the area?
jekas [21]

Answer:

radius = 5 units

area of a circle = 15.7units²

Step-by-step explanation:

given that the circumference of a circle = 31.4

radius = ?

recall that the formulae for finding the circumference of a circle  =  2πr

circumference of a circle  = 2 x 3.14 x r

31. 4 = 6.28r

divide both sides by the coefficient of r which is 6.28

31.4/6.28 = 6.28r/6.28

5 = r

radius = 5 units

therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units

to find the area of the circle

recall the formula = πr²

area of a circle = 3.14 x 5²

area of a circle = 3.14 x 25

area of a circle = 15.7units²

7 0
3 years ago
Find the equation of the parabola with focus (5, 1) and directrix y = -1.
Mumz [18]
Check the picture below.

since the focus point is above the directrix, that simply means the parabola is a vertical one, and therefore the square variable is the "x".

keeping in mind that, there's a distance "p" from the vertex to either the focus point or the directrix, that puts the vertex half-way between those fellows, in this case at 0, right between 1 and -1, as you see in the picture, and the parabola looks like so.

since the parabola is opening upwards, the value for "p" is positive, thus

\bf \textit{parabola vertex form with focus point distance}
\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=5\\
k=0\\
p=1
\end{cases}\implies 4(1)(y-0)=(x-5)^2
\\\\\\
4y=(x-5)^2\implies  y=\cfrac{1}{4}(x-5)^2

8 0
3 years ago
You are building a rectangular planter for your school garden. You want the area of the bottom to be 90ft^2. You want the length
Anestetic [448]
15 feet and 6 feet
 Hope this helps you :)<span>
</span>
6 0
3 years ago
Please do this question
Lerok [7]
I think its 46 srry if im wrong
5 0
3 years ago
8/9+2/3 in simplest form​
svetlana [45]

Answer: 14/9

Step-by-step explanation:

multiple forms of simplfied answers.

Decimal: 1.5 (bar notation above 5)

Mixed Number: 1 5/9

4 0
3 years ago
Read 2 more answers
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