Answer:
Step-by-step explanation:
Given
See attachment
Solving (a): 
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Make the subject
Substitute 
for 
Solving (b): 
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Solving (c): 
To solve for , we make use of:
The relationship between both angles is that they are alternate exterior angles.
So:
Answer:
There is a vertical asymptote for the rational function at x = −4. Set the denominator equal to 0 and solve for x.
2x + 8 = 0 → x = −4
Step-by-step explanation:
1,100,000,000 is the answer
Answer:
Difference of 15,180,495 feet³
Step-by-step explanation:
Red pyramid volume: 59300000 feet³
Pyramid of Khafre volume: 74400000 feet³
Subtract to get difference
74400000-59300000= 15100000
Nearest in answer choice is 15,180,495 so therefore it is the third choice.
Answer:
slope-intercept form: y = 3x - 14
slope: 3
y-intercept: -14
Step-by-step explanation:
To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.
"x" and "y" mean points that are on the line.
"m" is the slope.
"b" is the y-intercept.
Rearrange the equation to isolate "y"
3x - y = 14
3x - 3x - y = 14 - 3x Subtract 3x from both sides
-y = 14 - 3x Multiply both sides by -1.
y = -14 + 3x Put "3x" in front of "-14" because it has the 'x'
y = 3x - 14 Looks like y = mx + b
State the "m" and "b".
m = 3 (Slope of the line)
b = -14 (y-intercept of the line)
Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.
