Multiplying the first equation by -2 results in -6x + 4y = -24.
Adding this result to the second equation:
<span>6x-4y=24
</span>-6x + 4y = -24
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0 = 0
There are an infinite number of solutions, since the 2 given equations represent collinear lines.
Answer:
w² - 13w + 36
Step-by-step explanation:
Given
(w - 9)(w - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
w(w - 4) - 9(w - 4) ← distribute both parenthesis
= w² - 4w - 9w + 36 ← collect like terms
= w² - 13w + 36
Answer:
The last equation x2 - 2x -4 = 0
has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)
Step-by-step explanation:
If a quadratic function has roots 1 and 5
f(x) = (x -1)(x- 5)
f(x) = x^2 - 6x + 5
Unless you meant. -4 and 6 ?
g(x) = (x + 4)(x - 6)
g(x) = x^2 -2x -24
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Or did you mean x = 1 and x =4 ?...
x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0
x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0
0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2
x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0
Answer:
16
Step-by-step explanation:
the lcm for 3 and 4 is 12
200 ÷ 12 = 16.667
≈16
CD = AD - (AB + BC)
CD = 51 - (19+14)
CD = 51 - 33
CD = 18
answer
CD = 18 mm
