Answer:
Option A
Step-by-step explanation:
We need to solve out ,
We can write it as ,
On simplyfing further,
On solving the above equation , we will get ,
Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .
<u>Option</u><u> </u><u>A </u><u>is </u><u>correct</u><u> </u><u>.</u>
Answer:
-3/4
Step-by-step explanation:
In slope-intercept form, the slope is the coefficient of x.
200/5 = 40 mph 200/4 = 50 mph Let x be the speed in still waters and y the speed of current. x + y = 50 x - y = 40 ADD 2x = 90 x = 45 mph ANSWER is C) 2) C
a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.
b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.
<h3>What is the Angle of Intersecting Tangents or Secants Theorem?</h3>
According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.
a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]
Substitute
m∠AEB = 1/2(53 + 61)
m∠AEB = 57°
b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]
Multiply both sides by 2
2(35) = VW - 36
70 = VW - 36
Add 36 to both sides
70 + 36 = VW
VW = 106°
Learn more about the angle of intersecting chord theorem on:
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Answer:
y = 4x + 16
Step-by-step explanation:
y - 1 = 4(x + 3)
Has a slope of 4
y = 4x + c
32 = 4(4) + c
32 - 16 = c
c = 16
y = 4x + 16
