Answer:
The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.
Step-by-step explanation:
We are given that Carly is traveling to visit family.
She drive distance on first day = x
She drive distance on second day = y
We are also given that Carly is travelling a total of 800 miles.
So,x+y=800
We are supposed to find domain and range of this relationship.
y=800-x
Domain : (-∞,∞)
Range:(-∞,∞)
Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.
Given:

To find:
The length of QR.
Solution:
We have,

Then,
(CPCTC)



Divide both sides by 4.


Similarity,
(CPCTC)



Divide both sides by 2.

Now,


Therefore, the correct option is d.
Answer: m² + 3m - 10 = 0
Step-by-step explanation:
From the expression, considering
6x + 5 = m
The original expression
( 6x + 5 )² - 10 = -18 - 15
Factorize the right hand expression,
-18 - 15 = -3( 6x - 15 )
Since m = 6x + 5 , we now substitute for m in that expression
m² - 10 = -3m
Now re arrange the equation in the form,
ax² - bx + c = 0
Now back to the equation,
m² + 3m - 10 = 0,
So the equivalent equation will be
m² + 3m - 10 = 0
Answer:
a) True
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Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the definite integration</em>
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<em>we know that the trigonometric formula</em>
<em> sin²∝+cos²∝ = 1</em>
<em> cos²∝ = 1-sin²∝</em>
<u><em>step(ii):-</em></u>
<em>Now the integration</em>
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<em> = </em>
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<em>Now, Integrating </em>
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<em> = sin π - sin 0</em>
<em> = 0-0</em>
<em> = 0</em>
<u><em>Final answer:-</em></u>
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