From the given information, the parabola is a regular parabola facing up with vertex at (-5, 2).
Required equation is (x + 5)^2 = 4p(y - 2)
But 2 + p = 5 => p = 5 - 2 = 3
Therefore, required equation is (x + 5)^2 = 4(3)(y - 2)
(x + 5)^2 = 12(y - 2)
y - 2 = 1/12 (x + 5)^2
y = 1/12 (x + 5)^2 + 2
f(x) = 1/12 (x + 5)^2 + 2
<h3>4cos ^4(x) -5cos^2(x)+1=0</h3><h3>(u^-1) (4u^-1)=0</h3><h3>(u^-1)=0</h3><h3>u^=1</h3><h3>u=√1</h3><h3>u=1</h3><h3>u=±1</h3><h3>cos (x)=±1</h3><h3>x=0 or π</h3><h3 /><h3>4u^-1=0</h3><h3>4u^=1</h3><h3>u^=1/4</h3><h3>u=√1/4</h3><h3>u=1/2</h3><h3>u= ±1/2</h3><h3>cos (x)=±1/2</h3><h3>x= π/3 or 4π/3</h3><h3 /><h3>x= 0, π/3, π, 4π/3</h3>
27.5
22= K(8)
Divide 8 on both sides to get your K value
2.75 = K
Plug your K value into the other equation
Y= 2.75(10)
Solve to get Y
Y= 27.5
When the problem asks "vary directly", it is saying that you are multiplying your K value with your X value(K*X). If the problem is asks "vary indirectly", it is saying that you are dividing your K value by your X value (K/X)
Step-by-step explanation:
This can be rewritten as
If we will solve this way,
But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.
From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.
If the exponent has a positive value, move TO THE RIGHT.
For example,
Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.