Answer:
(3, -7) and (1, 2) are solutions to the equation
Step-by-step explanation:
Simply replace the (x, y ) pair of values in the equation and see if the equality holds:
Pair (0, -8) :
9 (0) + 2 (-8) = -16 therefore this pair is NOT a solution of the equation
Pair (3, -7):
9 (3) + 2 (-7) = 27-14 = 13 therefore this pair IS a solution of the equation
Pair (1, 2):
9 (1) + 2 (2) = 9 + 4 = 13 therefore this pair IS a solution of the equation
Pair (4, -5):
9 (4) + 2 (-5) = 36 - 10 - 26 therefore this pair is NOT a solution of the equation
Answer:
a ^ 2 - b ^ 2 = ( a + b ) ( a - b ) where a = 4p and b = 3q.
( 4p + 3q ) ( 4p - 3q )
Answer:
1. 1/2 +/-√5
2. 1 +/- i √6/2.
Step-by-step explanation:
1. f(x) = 4x^2 - 8x - 1
x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)
x =[ 8 +/- √80] / 8
= 1 +/- 4√5/8
= 1 +/- √5/2
= 1/2 +/-√5
2. By a similar method the zeros of the the second equation are:
x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4
= 4 +/- √(16 - 40) / 4
= 1 +/- √(-24)/4
= 1 +/- i √6 * 2 / 4
= 1 +/- i √6/2.
It would be written as:
5.65 *10^-4
Remember, when writing scientific notation for a decimal, the power of 10 is always negative. In this case, since we're basically moving the decimal point for places to the right, the power of 10 is -4
Hope this helped! :)
Answer:
x=12 ADB= 56 BDC= 54
Step-by-step explanation:
ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation
(3x+10) + (4x-4) = 90
I combined like terms to give me 7x+6=90
Then I subtract 6 from both sides giving me 7x=84
Last I divide 7 on both sides. x=12
Then I input the x (12) into the equation and solve it from there
3(12)+10 and 4(12)-4
3(12)+10=56
4(12)-4=54
. . . I think. Hope this helps!