First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
Answer: 7/21 is the answer because 7 * 2 = 14 and 21*2=42
Step-by-step explanation:
qq 7
Step-by-step explanation:
you have to take the hole numer and dive it by the % and if get a decimod round down
Answer:
"the sum of the cube of 6x and 2"
Step-by-step explanation:
We see that only the expression of 6x is being cubed, not the entire expression of (6x)³ + 2.
The first blank must apply to both these terms 6x and 2, so the word can't be cubed. Instead, because we're finding the sum of these two, the word should be "sum".
The second blank should apply to only the 6x because we've already described the relationship of 6x and 2. So, since we are cubing 6x, the word here should be "cube".
The final sentence should read:
"the sum of the cube of 6x and 2"
Answer:
$186.86
Step-by-step explanation:
<u>4 eggs cost:</u>
1 dollar per dozen (12 eggs), so by unitary method (ratios), we can find cost of 4 eggs. Shown below:
So, 4 eggs cost $0.33 approx
<u>12 lb. flour cost:</u>
2.50 dollar per pound, so 12 pounds would simply cost:
2.5 * 12 = $30
<u>14 lb of sugar cost:</u>
4.50 dollar per pound means 14 pounds would cost:
4.5 * 14 = $63
<u>2 ready-made edible flowers cost:</u>
5 cents for each flower means 2 flowers would cost:
5 cent = 0.05 dollars
0.05 * 2 = $0.10
We add all up to find cost of 1 cake. Shown below:
Cost of 1 cake = $0.33 + $30 + $63 + $0.10 = $93.43
Cost of 2 cakes = $93.43 * 2 = $186.86
