Roots of a quadratic equation 3x²-x+9=0 are p and q. Value from p/q + q/p = ....?
Answers
3x²-x+9=0
==>x²-x/3+3=0
p+q=1/3
pq=3
p/q+q/p=[(p+q)²-2pq]/(pq)=[(1/3)²-2*3]/3=[1/9-6]/3=-53/27
also x² - (1/3)x + 3 = 0
p,q are roots so
(x - p)(x - q) = x² - (1/3)x + 3 = 0
x² - (p+q)x + pq = x² - (1/3)x + 3 = 0
compare coefficients we have
p+q = 1/3 ... (1)
pq = 3 ... (2)
(1)/(2) ... (p+q)/pq = (1/3)/3
p/q + q/p = 1/9
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Need a little help on this :)
The vertices of xyz are x (1,-4)
Answers
The value of x in expression cos(2x-1) = sin(3x+6) is 17.
cos(2x-1) = sin(3x+6)
let
a = 2x - 1
b = 3x + 6
Therefore,
cos a = sin b
Therefore, a and b are complimentary.
What is complimentary angle?
Complimentary angles are angles that sum up to 90 degrees. Therefore,
2x - 1 + 3x + 6 = 90
2x + 3x - 1 + 6 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 / 5
x = 17
learn more on trigonometry here: brainly.com/question/2193114
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85/5
x = 17°
-3x + 2y = 9
A. (3,9)
B. (-27,9)
C. (-3,-6)
D. (-9,9)
Answers
use elimination
add them together to cancel x terms
3x-4y=9
-3x+2y=9 +
0x-2y=18
-2y=18
divide by 2
-y=9
multiply -1
y=-9
subsituete
3x-4y=9
3x-(4 times -9)=9
3x-(-36)=9
3x+36=9
subtract 36 from both sides
3x=-27
divide both sides by 3
x=-9
x=-9
y=-9
the answer is in (x,y) form
(-9,-9)
the answer is none of them (D is closest)
Answer:
(-9,-9)
Explanation:
The two given equations are:
3x - 4y = 9
-3x + 2y = 9
First step is to add the two equations in order to eliminate the x.
This will give us:
-4y + 2y = 9 + 9
-2y = 18
y = -9
Now, we substitute with the value of y in any of the equations to get x as follows:
3x - 4y = 9
3x - 4(-9) = 9
3x + 36 = 9
3x = -27
x = -9
Hope this helps :)
Answers
Answers
If you cut each apple into fourths u can gI've each person three slices .
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30 = 0.5 * 6 * base
30 = 3 * base
so , base = 10 inch
Answer:
Draw a vertical line to break the kite into two equal triangles with a base of 36 and a height of 15. Use the formula A = 1
2
bh to find the area of each. The sum of the areas is the area of the kite.
Step-by-step explanation:
boom
Answers
5x=90-15
5x=75
x=15