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:
If 
or 
, there is only one solution to the given quadratic equation.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
This polynomial has roots 
such that 
, given by the following formulas:
The signal of 
determines how many real roots an equation has:
: Two real and different solutions
: One real solution
: No real solutions
In this problem, we have the following second order polynomial:
.
This means that 
It has one solution if
We can simplify by 8
The solution is:
or
So, if or , there is only one solution to the given quadratic equation.
Looking at 1 1/2 makes 12 cups, you can divide them to see the total of cups it would make with one cup of flower. 1 1/2 is equal to 1.5 , and with that information we do 12 divided by 1.5 which is 8. the answer is 8 per 1 cup of flower.
Answer:
Step-by-step explanation:
Let a = - 1 2/5 and b = 2 1/3
<u>We have a + b, lets compare with the options:</u>
- A) a + (- b) = a - b, no
- B) a - b, no
- C) b + a = a + b, yes
- D) b - a, no
The dimension of the document is 35 inches by 40 inches.
It is redrawn at a scale of 1 1/2 or 3/2 or 1.5
The dimension will be:
35 * 1.5 = 52.5 in
40 * 1.5 = 60 in
Then redrawn again at 1/4 or 0.25
52.5 * 0.25 = 13.125 in
60 * 0.25 = 15 in
So the final dimensions of the drawing is 13.125 in by 15 in
