Answer:
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Step-by-step explanation:
Given
Required
Determine 
We know that:
This gives:
Collect like terms
Take square roots
By tan identity
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Answer:
45 points in round 3
Step-by-step explanation:
x + 30 + 25 = 100
combine like terms
30+25 = 55
x + 55 = 100
- 55 - 55
--------------------
x = 45
therefore, Amos scored 45 points in round 3
hope this helps! :D
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Answer:
- given
- addition property of equality
- addition property of equality
- division property of equality
- symmetric property of equality
Step-by-step explanation:
In step 2, -3x was added to both sides in accordance with the addition property of equality.
The same property lets you add 18 to both sides, as in step 3.
The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)
Swapping sides of the equal sign is allowed by the symmetric property of equality.
Split the second term in 3a^2 - 8a + 4 into two terms
3a^2 - 2a - 6a + 4 = 0
Factor out common terms in the first two terms, then in the last two terms.
a(3a - 2) -2(3a - 2) = 0
Factor out the common term 3a - 2
(3a - 2)(a - 2) = 0
Solve for a;
a = 2/3,2
<u>Answer : B. (2/3,2)</u>
The slope of the linear function shown is of -1/3.
<h3>What is a linear function?</h3>
A linear function, in slope-intercept formula, is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x</u>.
In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:
m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.
More can be learned about linear functions at
brainly.com/question/24808124
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