Two rules come into play here:
1) We cannot divide by zero. Thux, x cannot = -3.
2) The domain of the square root function is (0, infinity). This is the dominant limiting factor.
x + 3 must be > 0. Thus, x must be > -3
The domain of this expression is (-3, infinity).
Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° = = = ( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB = ≈ 4.41 ( to the nearest hundredth )
Answer:
Slope: 4
Y-intercept: -5
Equation: y=4x-5
Step-by-step explanation:
Slope formula:
So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:
Which is equal to:
Which is equal to 4. So the slope is 4.
To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).
-1=4(1)+b
= -1=4+b
= -1-4=4-4+b
= -5=b
So the y-intercept is -5.
Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:
y=4x-5
The answer you are looking for is C