Answer:
Step-by-step explanation:
Answer:
y = -1/2 x + 2
Step-by-step explanation:
Which of the following equations describes the line shown below? Check all
that apply.
(-4, 4)
(2, 1)
The standard equation of a line is y = mx,+b
m is the slope
b is he y-inttercept
Get the slope
Slope m = y2-y1/x2-x1
Substitute the coordinate
M = 1-4/2-(-4)
M = -3/6
M = -1/2
Substitute m= -1/2 and (2,1) into y = mx+b
1 = -1/2(2)+b
1 = -1+b
b = 1+1
b=2
Get the equation
Recall y =mx+b
y = -1/2 x + 2
Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
Given:
The given phrase is 16 seconds faster than Aya’s time.
To find:
The algebraic expression for the given phrase.
Solution:
Let x be the Aya’s time.
16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.
We know that a negative sign "-" is used for less than.
16 seconds less than Aya’s time = 
16 seconds faster than Aya’s time =
Therefore, the required algebraic expression is .
