How to graph 6x + 3y = 12
explanation:
Step 1: Find x intercept: substitute 0 for y: solve for x
• 6x + 3(0) = 12
• 6x = 12
• x = 2
Step 2: Then Find y intercept: also substitute 0 for x; solve for y
• 6(0) + 3y = 12
• 3y = 12
• y = 4
So plot x and y intercepts: ( 2,0 ) and ( 0,4 ) then draw a line through the points.
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How to graph 3x + y = 5
explanation:
Step 1: Find x intercept: substitute 0 for y: solve for x
• 3x + 5(0) = 15
• 3x = 15
• x = 5
Step 2: Then Find y intercept: also substitute 0 for x; solve for y
• 3(0) + 5y = 15
• 5y = 15
• y = 3
plot x and y intercepts: (5,0 ) and ( 0,3) then draw a line through the points.
Hope this help:))
Answer:
Last option is the correct answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left
Step-by-step explanation:
We know that for any parent function f(x) the graph of the transformed function:

is a shift of the the parent function f(x) either to the left or the right depending on the value of a.
if a>0 then the shift is 'a' units to the left
and if a<0 then the shift is 'a' units to the right.
Here we have transformed function G(x) as:

i.e. a=2>0.
Hence, the graph of G (x) is the graph of f(x) shifted 2 units to the left.
Answer:
1/3
Step-by-step explanation:
3x – 9y = 4
We need to solve for y
Subtract 3x from each side
3x – 9y-3x = 4-3x
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3 x -4/9
This is in the form y = mx+b where m is the slope and b is the y intercept
y =1/3x -4/9
The slope is 1/3
Answer:
116 cm²
Step-by-step explanation:
Shaded Area = area of the larger circle - area of the smaller circle
Area of the larger circle = πr²
Where,
r = 6.5 cm
Area = π*6.5² = 42.25π cm²
Area of smaller circle = πr²
Where,
r = 2.3 cm
Area = π*2.3² = 5.29π cm²
✔️Shaded area = 42.25π - 5.29π = 36.96π = 116.113264
Area = 116 cm² (3 S.F)