Answer:
g=3
Step-by-step explanation:
multiply x with x-4 and +7 with x-4 to open the brackets
x^2 - 4x + 7x - 28 = x^2 +gx - 28
x^2 + 3x - 28 = x^2 + gx -28
x^2 - x^2 + 3x -28 + 28 = gx
gx is kept alone on the other side because we have to find value of g
cancel out +x^2 -x^2 and +28 -28
we ll be left with
3x = gx
divide both sides by x
3x/x = gx/x
cancel out x in the numerators with the x in the denominators
3 = g
9514 1404 393
Answer:
(9/34)√34 ≈ 1.543
Step-by-step explanation:
The second equation can be rewritten as ...
6x -10y -12 = 0
3x -5y -6 = 0
3x -5y = 6
__
The formula for the distance from point (x, y) to line ax+by+c=0 is ...
d = |ax+by+c|/√(a²+b²)
Then the distance from a point to the first line is ...
d = |3x -5y +3|/√(3² +(-5)²)
We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...
d = |6 +3|/√34
Simplifying and rationalizing the denominator gives a distance of ...
d = (9/34)√34 ≈ 1.543
Answer: 40
Step-by-step explanation:
Fill in variables: 3(6)-8(-2)+6
Multiply: 3(6)=18; -8(-2)=16
Replace: 18+16+6
Combine like terms: 40
Answer:
a
Step-by-step explanation: