Answer:
3 minutes and 39 seconds
Step-by-step explanation:
Answer: 60 degrees
Step-by-step explanation:
1. Make a right triangle where the right angle is and label the hypotenuse r.
2. Since the chord is equal to r and a 90-degree angle is formed at the intersection, the chord is bisected. Therefore, the chord segment is 1/2 r.
3. Since we have to solve for the intercepted arc, we must find the central angle ( the angle of the right triangle closest to the dot/center) of the arc, which in this case is the sin, or 0.5r/r.
4. We must get rid of the fraction in the numerator, so multiply both the numerator and denominator by 2 which gets you 1r/2r.
5. The r's cancel out, leaving you with 1/2.
6. Since we have to find the angle measure, you must take the negative sin of 1/2 which is 30 degrees.
7. Finally multiply by 2 since you only solved one bisected portion to get 60 degrees.
Answer:
f(x)=2(x-4)^2 = 4±√x/√2
Step-by-step explanation:
Answer:
Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system
y=ax+b
y=2x+5
needs to have no solutions. Subtracting the equations gives us
(a−2)x+(b−5)=0
In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .
Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation
5=2⋅4+b
should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation
y=2x−3
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Which line is parallel to the line y = 2x -4?
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What is an equation for the line that is parallel to y= -4x