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ICE Princess25 [194]
4 years ago
14

When asked to factor the trinomial 6x^2-18x+12, a student gives the answer (x-2)(x-1). What is one thing wrong with this answer?

A. There is nothing wrong with the answer B. 6 is also a factor of this trinomial C. The factors are not simplified D. The minus signs should be plus signs
Mathematics
2 answers:
Alex17521 [72]4 years ago
5 0
The correct answer is B because 6 needs to be included.

Gre4nikov [31]4 years ago
5 0

Answer:

B. 6 is also a factor of this trinomial.

Step-by-step explanation:

We have been given a trinomial 6x^2-18x+12. A student gives the answer (x-2)(x-1).

To figure out student's mistake, let us factor our given trinomial by splitting the middle term.  

6x^2-18x+12    

6x^2-12x-6x+12    

6x(x-2)-6(x-2)    

(6x-6)(x-2)    

6(x-1)(x-2)  

Therefore, 6 is also a factor of our given trinomial and option B is the correct choice.

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What is the equation, in slope-intercept form, of the line that is perpendicular to the line
NeTakaya

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

The negative reciprocal of slope = 1 is -1

Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

y_1 = -2

m = -1

Insert the values

y - ( -2)) = -1( x - (-2))

y + 2 = -1 ( x + 2)---- point slope form

But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

y = -x - 2 - 2

y = -x - 4 ( slope - intercept form)

4 0
4 years ago
Choose the law and the formula that would be used to solve the triangle.
Oksana_A [137]

Answer: A^2

Step-by-step explanation:

Angle C + Angle B = Angle A

4 0
3 years ago
Triangle ABC will be dilated according to the rule D Subscript F, 0.25(x,y), where point F is the center of dilation. On a coord
just olya [345]

Answer:

(1, 0)

Step-by-step explanation:

correct answer

3 0
4 years ago
Read 2 more answers
{[14-2×3]-[18÷(12-3)]}+{42-11×3+[(65-9×5)+3]}
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Use Bidmas, solve all the inner brackets (), with first division, then multiplication then addition then subtraction
5 0
3 years ago
While riding her bike to the ocean and back home 5 times, Kimberly timed herself at 53min, 48min, 56min, 54min, and 45min. She h
alex41 [277]

Answer:

Kim will need to spend 67 minutes on her sixth ride

Step-by-step explanation:

Represent the number of minutes of her sixth ride by m.

Then the average number of minutes is

53 + 43 + 56 + 54 + 45 + m

---------------------------------------- = 53

                      6

Multiplying both sides of this equation by 6 yields

6(53 + 43 + 56 + 54 + 45 + m)

--------------------------------------------- = 6(53)

                        6

which simplifies to

 251 + m

---------------- = 318

         

or  251 + m = 318.  Subtract 251 from both sides to obtain the value of m:

m  = 318 - 251 = 67

Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of  53 minutes.i

4 0
3 years ago
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