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3 years ago

when asked to factor the trinomial x^2-18x+81 a student gives the answer (x-9(x+9) which of the following statements is true

Mathematics

2 answers:

Alex17521 [72]3 years ago

5 0

the answer is incorrect; the plus sign should be a minus sign

charle [14.2K]3 years ago

3 0

(x - 9)(x + 9) would give you x^2 - 81 when you get a plus and minus like that after you factor the middle term is canceled out so the answer would be (x - 9)^2

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3 years ago

Solve the system of linear equations by substitution.

Anastasy [175]

Answer: The solution is the ordered pair (1/2, -3/4) so x = 1/2 and y = -3/4 pair up together. The two lines, when graphed, cross at this location.

note: 1/2 = 0.5 and -3/4 = -0.75; so the intersection point can be written as (0.5, -0.75)

===================================================

Explanation:

The second equation has y isolated. We can replace the y in the first equation with the expression 1/2x - 1

3x + 2y = 0

3x + 2( y ) = 0

3x + 2( 1/2x - 1) = 0 ... y is replaced with 1/2x-1

3x + 2(1/2x) + 2(-1) = 0 .... distribute

3x + x - 2 = 0 .... note how 2 times 1/2 is 1

4x - 2 = 0

4x = 2

x = 2/4

x = 1/2

Use this x value to find the y value it pairs with

y = (1/2)*x - 1

y = (1/2)*(1/2) - 1 ... replace x with 1/2

y = 1/4 - 1

y = 1/4 - 4/4

y = (1-4)/4

y = -3/4

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3 years ago