The answer is C because you divide the P so you get KP=AR then you finish the rest
Answer:
System A has 4 real solutions.
System B has 0 real solutions.
System C has 2 real solutions
Step-by-step explanation:
System A:
x^2 + y^2 = 17 eq(1)
y = -1/2x eq(2)
Putting value of y in eq(1)
x^2 +(-1/2x)^2 = 17
x^2 + 1/4x^2 = 17
5x^2/4 -17 =0
Using quadratic formula:
a = 5/4, b =0 and c = -17
Finding value of y:
y = -1/2x
System A has 4 real solutions.
System B
y = x^2 -7x + 10 eq(1)
y = -6x + 5 eq(2)
Putting value of y of eq(2) in eq(1)
-6x + 5 = x^2 -7x + 10
=> x^2 -7x +6x +10 -5 = 0
x^2 -x +5 = 0
Using quadratic formula:
a= 1, b =-1 and c =5
Finding value of y:
y = -6x + 5
y = -6(\frac{1\pm\sqrt{19}i}{2})+5
Since terms containing i are complex numbers, so System B has no real solutions.
System B has 0 real solutions.
System C
y = -2x^2 + 9 eq(1)
8x - y = -17 eq(2)
Putting value of y in eq(2)
8x - (-2x^2+9) = -17
8x +2x^2-9 +17 = 0
2x^2 + 8x + 8 = 0
2x^2 +4x + 4x + 8 = 0
2x (x+2) +4 (x+2) = 0
(x+2)(2x+4) =0
x+2 = 0 and 2x + 4 =0
x = -2 and 2x = -4
x =-2 and x = -2
So, x = -2
Now, finding value of y:
8x - y = -17
8(-2) - y = -17
-16 -y = -17
-y = -17 + 16
-y = -1
y = 1
So, x= -2 and y = 1
System C has 2 real solutions
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
Ques 1) 1440°
Ques 2) 4000
Ques 3) 33
Step-by-step explanation:
Ques 1)
The sum of the measures of the angles in degrees of a polygon with 'n' sides is given by: 180×(n - 2).
Now we have to find the sum of the measures the angles of a polygon with 10 sides.
i.e. n=10
Hence the value of the expression 180×(n-2) when n=10 is given by:
180×(10-2)=180×8=1440.
Hence, the sum of measure of the angles of a polygon with 10 sides is: 1440°.
Ques 2)
The Expression 500v gives the number of points a player earns for completing v voyages in video game.
We are asked to find the number of points earned for completing 8 voyages.
i.e. v=8 the value of 500v will be 500×8=4000.
Hence, 4000 points are earned for completing 8 voyages.
Ques 3)
we have to find the value of the question as given in the figure:
7x+y+16 for x=2 and y=3.
Hence, we find the value of the expression:
7×2+3+16=33.
Hence, the value of the expression is 33.
This is the answer its easy just simplify the inequality
