Answer:
- 6(x^2 +18z +81) . . . as written
- 6(x +9)^2 . . . . . . . . assuming a typo
Step-by-step explanation:
As the expression is written, the only factoring that can be done is to factor out the common numeric factor of 6:
= 6(x^2 +18z +81)
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<em>Assuming a typo in the question</em>
If we assume all variables are supposed to be "x", then the quadratic term can be further factored as a square:
= 6(x +9)^2
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It is often handy to remember that the form of the square of a binomial is ...
(a +b)^2 = a^2 +2ab +b^2
Here, we recognize that 18 = 2√81, so the binomial is (x +√81) = (x +9).
3ˣ (x² - 3)
Basically, just multiply everything together.
Step 1 : 3x × x² = 3x³ because when multiplying exponents, all you're really doing is adding them on top. So, x + 2x = 3x! But, they are exponents, so you get 3x³.
Step 2 : 3x ˣ × (-3) = -9ˣ
Now, our new question is : 3x³ - 9x
You wouldn't simplify this because x³ is NOT the same as x.
~Hope I helped!~
Answer:
Step-by-step explanation:
Given:
Required:
Solve for y (make y the subject of the formula)
SOLUTION:
Square both sides
Subtract both sides by x
Divide both sides by 2
<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
6) AB = DE (corresponding parts of congruent triangles are equal)
Answer:
10 Miles
Step-by-step explanation: The ratio for the problem is 1:6, multiply the 6 by 10 to get an hour and in a ratio you must multiply the number on booth sides by the same thing, the 1=miles and the 6=minutes
