Answer:
Step-by-step explanation:
The sides for the square are equal to 2x-5 because that is the square root of the area. The length of the rectangle is 3x+6 and the width is 3x-6 because that is what you get when you factor the equation.
Now, you have add them up.
To take out the line in the middle of the shape we will subtract 
because we are assuming that this equation is equal to the shorter side. This makes the equation
If you are looking for a numerical answer, I can't say I know how to get it.
Hope this helps! <3
Answer:
Step-by-step explanation:
Exact form is x = 86/11
Mixed number form is x = 7 whole number 9/11
$18.75/3 shirts= $6.25 per shirt.
Answer:
- 6. See solution
- 7. k = 2, k = -6
Step-by-step explanation:
6.
<u>Given equation:</u>
- The sum of the roots is q1 and the product of the roots is q2
Need to show that q1+q2 = 0
<h3>Solution</h3>
<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>
- 2(x + 2)² + p(x + 1) = 0
- 2x² + 8x + 8 + px + p = 0
- 2x² + (p + 8)x + (p + 8) = 0
<u>Sum of the roots: </u>
<u>Product of the roots:</u>
<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>
- q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0
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7.
<u>Given quadratic equation:</u>
Need to find the possible values of k
<h3>Solution</h3>
<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>
- D = 0
- √b² - 4ac = 0
- √(-k -2)² - 4*1*4 = 0
- √k² + 4k + 4 - 16 = 0
- √k² + 4k - 12 = 0
- k² + 4k - 12 = 0
- k = {-4 ± √4² -4*1*(-12)}/2
- k = (-4 ± √16 + 48)/2
- k = (-4±√64)/2
- k = -2 ± 4
- k = 2, k = -6
