Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
The answer is 20, since it’s heads and tails you have a half and half chance, therefore you divide 40 in half and get 20
Answer:
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Answer:
g(2) = 27 is the answer.
Step-by-step explanation:
If the function is g(x) = (5 - x)³
By expanding (5 - x)³ = 5³-3.5²x + 15x² -x³
g(x) = 125 - 75x + 15x² - x³
Now g(2) = 125 - 75×2 + 15×(2)² - 2³
g(2) = 125 - 150 + 60 - 8
= -25 + 60 - 8
= 35 - 8 = 27
Or directly putting the value x = 2 in g(x) we get
g(2) = (5 - 2)³ = 3³ = 27
Therefore g(2) = 27 is the answer.
Answer:
The simplest ratio would be 5:3
Step-by-step explanation:
Both 10 and 6 can be divided by 2.
They turn into 5 and 3.
Since you can't make 5 and 3 any smaller, this will be the answer.
5:3
Hope this helped! :D
