Whenever you want to write the equation of a parallel line through some point (h, k), you can ...
- remove any added constant in the original given equation
- replace x with (x-h)
- replace y with (y-k)
- rearrange the resulting equation to the form required by the problem.
Using this formula here, we get
... 2(y +5) = 3(x -2)
Your answer form requires you solve this for y.
... 2y + 10 = 3x -6 . . . . . eliminate parentheses
... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)
... y = (3/2)x -8 . . . . . . divide by 2
Answer:
9^2 × 9^6=9^10/9^2
When multiplying exponents, if the bases are the same you add the exponents.
9^2 × 9^6 = 9^(2+6)=9^8
When dividing exponents, I'd the bases are the same you subtract the bottom exponent from the top.
9^10/9^2=9^(10-2)=9^8
9^8=9^8
Solution: 9^10 over 9^2
Step-by-step explanation:
Answer:
9 3/4
Step-by-step explanation:
3 1/4+6 1/2=
9+ 3/4
the answer is 9 3/4
Answer:
BC ≈ 19.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos71° = = = ( multiply both sides by BC )
BC × cos71° = 6.3 ( divide both sides by cos71° )
BC = ≈ 19.4 cm ( to 3 significant figures )
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula .
<h3>What is the missing element in a sequence?</h3>
A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:
(1)
Now we prove that given expression contains the pattern:
n = 0
7
n = 1
7 + (- 1)² · 2² = 7 + 4 = 11
n = 2
7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2
n = 3
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18
n = 4
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula .
To learn more on patterns: brainly.com/question/23136125
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