Answer: y= -x + 7
Solution:
Step 1 : find the slope using the equation using the pair of coordinates that are given i.e A (−7,14) B (−21,28) ( name them A and B respectively so they can be easily named as x1, y1 and x2,y2 respectively)
m = y2-y1/x2-x1
m = 28-14 / -21 -( -7)
m = 14 / -14
m = -1
Step 2 : Find the y intercept using the line of equation (use and one of the given coordinates either A or B)
Using A ( -7, 14)
y= mx+ b
14 = (-1)(-7) + b
14= 7 + b
14-7 = b
7 =b
So,
y=mx+b
Insert m and b
y= -x + 7
Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
Answer:
x = -9
Step-by-step explanation:
ANGLES IN A TRIANGLE ADD UP TO 180°
50° + 80° = 130°
180° - 130° = 50
x+59 = 50
x = -9
we can rewrite it as
we can see that 1/4 is in multiple in both terms
so, we can factor it out
so, we get
..............Answer
Answer:
DOMAIN: -5, 2, 3 ,4
RANGE: 1, 3, 3 , 5
FUNCTION: Yes
Step-by-step explanation:
Since there is one value of y for every value of x this is a function.
The domain is just the x value (first number) and the range is just the y value(second number).
