Answer:
a) y=3x-11
b) y=-1/3x-1
Step-by-step explanation:
First find the slope of the line
rise/run
rise is 3
run is 1
so slope is 3
since this line is parallel to "a", the slope of "a" will also be 3
the equation of a will be
y-y1=3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=3(x-3)
y+2=3x-9
y=3x-9-2
y=3x-11
since this line is perpendicular to "b", the slope of "b" will also be reciprocal negative , -1/3
y-y1=-1/3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=-1/3(x-3)
y+2=-1/3x+1
y=-1/3x+1-2
y=-1/3x-1
Answer:
V = 2968.8 cm³ or 2969 cm³
Step-by-step explanation:
Given the radius, r = 7.5 cm, of a cylindrical coffee can whose height, h = 16.8 cm:
We can find the volume of a cylinder by using the following formula:
V = πr²h
Substitute the given values into the formula:
r = 7.5 cm
h = 16.8 cm
V = πr²h
V = π(7.5)²(16.8)
V = π × 56.25 × 16.8
V = 2968.8 cm³ or 2969 cm³
Therefore, the volume of a coffee can is 2969 cm³.
Answer:
Step-by-step explanation:
The slope of the graph at x=0 is related to the value of b. It is also proportional to the value of <em>a</em>, which is the same for all but curve B. The red curve R has the largest slope at x=0, (much larger than 3/4 the slope of curve B), so curve R has the greatest value of <em>b</em>.
Similarly, the smallest value of <em>b</em> will correspond to the curve with the smallest (most negative) slope. That would be curve K. Curve K has the smallest value of <em>b</em>.
Answer:
Step-by-step explanation:
Integers are whole numbers.
Integers include all negative and positive whole numbers. Zero is also included as an integer.
36 is a positive whole number. 36 is an integer.
0 is a whole number. 0 is an integer.
-22 is a negative whole number. -22 is an integer.
0.75 is not a whole number. 0.75 is not an integer.
Answer:
Parallelograms are 4 sided rectangular figures with opposites sides that are parallel.
Step-by-step explanation:
