The point
lies on the unit circle.
The reference angle for 245° is 65°.
Since 245° lies in the third quadrant,
cosine is negative and sine is negative
Therefore 245° intersect the unit circle at
In terms of x and y, 245° intersects the unit circle at
Answer: 2 + √10 , 2 − √10
Step-by-step explanation:
-5x(x-4) = -30
divide by -5
x(x - 4) = -30
distribute the x
x^2 - 4x = 6
move the 6 to the left to have the equation equal zero
x^2 - 4x - 6 = 0
plug into the quadratic formula & solve
x
= 2 + √10 , 2 − √10
Answer:
First, you have to form simultaneous equation for both of their ages in yerms of a and b :
b = 4a - 12 -------- ( 1 )
a + b = 28 -------- ( 2 )
Next, you will have to solve it by substituting ( 1 ) into ( 2 ) :
a + (4a - 12) = 28
5a - 12 = 28
5a = 28 + 12
5a = 40
a = 8
Then, substitute a = 8 into ( 1 ) :
b = 4(8) - 12
b = 32 - 12
b = 20
Answer:
2(3x + 7)(2x - 1)
Step-by-step explanation:
You can see it a little easier if you take out a common factor of 2
2(6x^2 + 11x - 7)
The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.
Let 6 factor into 2 and 3 and the 7 into 7 and 1
2(3x - 1 )(2x + 7)
Now remove the brackets.
2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.
2(6x^2 + 19x - 7)
So we'll try it again
2(3x + 7)(2x - 1)
2(6x^2 + 14x - 3x - 7) Looks like we have it.
2(6x^2 + 11x - 7)
So the right factors are
2(3x + 7)(2x - 1)
Answer:
140
Step-by-step explanation:
80 x 1.75 = 140
