<u>Answer:</u>
The correct answer option is B. 2 = 3x + 10x^2
<u>Step-by-step explanation:</u>
We are to determine whether which of the given equations in the answer options can be solved using the following expression:
Here, 
and 
.
These requirements are fulfilled by the equation 4 which is:
Rearranging it to get:
Substituting these values of 
in the quadratic formula:
The formula for Slope is m =
where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.
m =
Plug in the given values
=
Cross multiply
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[<span>tex] \frac{1}{4} [/tex] =
Simplify the double negative
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=
Simplify the numerator and denominator
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=
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Since both sides equal each other,
y = -2.
Answer:
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
is any integer value.
The value of cannot exceed 1 or be less than 0, because the value of 
must be between 0 and 360 degrees.
Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
<span>Answer: 1.66666666667
When rounded up, 1.67
In short 1 2/3 equals to 1.67
Hope this helps!
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