Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m =
.
Therefore, the slope of the line perpendicular to the line given =
because
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 =
(x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
Answer: B. 130% increase
Step-by-step explanation:
Given function : 
If x represents the number of years, we have to determine the two values of y in consecutive terms to determine if the value of y increases or decreases after a year.
This function is equivalent to the exponential growth function
, where A=0.35 and (1+r)=2.3, [A= initial amount , r=annual percent increase]
Thus,

Hence, the annual percent increase is 130%.
Answer:
To make 16 cookies you will need 1 cup of sugar.
Step-by-step explanation:
Given:
Sugar needed to make 20 cookies = 1 1/4 cups
To Find:
Sugar needed to make 16 cookies = ?
Solution:
For making 20 cookies 1 1/4 cups of sugar is used
So to make 1 cookie we need
=>
=>
=>
=>
=>
cups of sugar
Now to make 16 cookies we need,
=>
=>
=>
=> 1