Answer:
x = -2.5
x = 2
Step-by-step explanation:
Hello!
We can remove the denominators by multiplying everything by it.
Solve:
Let's make one side equal to 0.
Solve by factoring, and then the zero product property.
Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, 
, think two numbers that equal "ac" and add up to "b".
Using the zero product property, set each factor to 0 and solve for x.
- 2x + 5 = 0
2x = -5
x = -5/2 = -2.5 - x - 2 = 0
x = 2
The two answers are x = -2.5, and x = 2.
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Answer:
= 1
Step-by-step explanation:
Im in 7th grade too!
Answer:
x = 3
Step-by-step explanation:
the equation of a vertical line parallel to the y-axis is
x = c
where c is the value of the x-coordinate the line passes through
here the line passes through (3, 2 ) and (3, - 4 )
both points have an x-coordinate of 3, hence
equation of line is x = 3
Step-by-step explanation:
Let O be the center of the circle
We have Angle YOW = 125°
and Angle WOX = 121°.
Therefore Angle YOX = 360° - 125° - 121° = 114°.
(Sum of angles around a point is 360°)
Since Angle at Center = 2 * Angle at Circumference,
Angle YWX
= 0.5 * Angle YOX = 0.5 * 114° = 57°. (A)
