Answer:
y = -3x + 7
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x
c - intercept point of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 1 , 4) ( 2 , 1)
x1 = 1
y1 = 4
x2 = 2
y2 = 1
insert the values
m = 1 - 4 / 2 - 1
m = -3/1
m = -3
y = -3x + c
Step 2: substitute any of the two points given into the equation of a line
y = -3x + c
( 1 ,4)
x = 1
y = 4
4 = -3(1) + c
4 = -3 + c
4 + 3 = c
c = 7
Step 3: sub c into the equation
y = -3x + 7
The equation of the line is
y = -3x + 7
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
A. figure ABCD is similar to figure A'B'C'D'
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It is negative only when the number itself is negative.
hence, sometimes.
