Angle (6) + Angle (7) = 180
Angle (6) + 57 = 180
Angle (6) = 180 - 57
Angle (6) = 123
------------
Angle (6) = Angle (8)
-----------
Therefore:
Angle (8) = 123 degrees
(-7x² + 3) + (4x² + 2x - 1)
-7x² + 3 + 4x² + 2x - 1
(-7x² + 4x²) + (3 - 1) + 2x collect like terms
-3x² + 2x + 2
hope this helps, God bless!
Answer:
1 Is A
2 is B
3 is A
4a is D
4b is -53 but that's not an answer choice
4c is C
4d is D
Answer:
tan(θ) = 0, 0.577, -0.577
Step-by-step explanation:
3tan³(θ) - tan(θ) = 0
tan(θ)(3tan²(θ) - 1) = 0
tan(θ) = 0
tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)
tan(θ) = 0, sqrt(⅓), -sqrt(⅓)
tan(θ) = 0, 0.577, -0.577
To find θ values, domain is required
Answer:
The distance is 280 miles
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Step-by-step explanation:
Given
When going to the mountain:
Let the speed be x.


When going home:


Required
Determine the distance of the mountains
Distance is calculated as:

When going to the mountains, the distance is:

When going home, the distance is:

It should be noted that, the distance is the same.
So, we have:

Open bracket


Collect Like Terms


Divide both sides by 3


Substitute 35 for x in



<em>The distance is 280 miles</em>