Answer:
Unit rates are useful because they allow you to make direct comparisons. For example, you have your choice between two bottles of ketchup.
Step-by-step explanation:
To solve this problem we can think of a rule of three.
Writing the rule of three we have:
3 ---> 2
x ----> 18
Clearing the value of x
x = ((18) / (2)) * (3) = 27
answer
zak will take 27 steps if rich takes 18 steps
Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
Answer:
3) 
4) a) 
b) 
Step-by-step explanation:
<u>Exercise 3</u>



<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ 
If L2 passes through point (3, 1):



So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ 
If L3 passes through point (-5, 2):



STEP
1
:
Equation at the end of step 1
((49 • (x2)) + 12xy) + 26y2
STEP
2
:
Equation at the end of step
2
:
(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial
3.1 Factoring 49x2 + 12xy + 64y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
49x2 + 12xy + 64y2