Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is clear that the coordinates of given points are A(-4,0), B(2,-3) and C(-2,2).
Slope of line AB is
The slope of two parallel lines are same.
So, the slope of required line is -1/2.
The point slope form of a line is
where, m is slope.
The equation of required line is
Substitute y=0 in the above equation to find the x-intercept of required line.
The x-intercept of required line is (2,0). Therefore, the correct option is D.
Answer:
solution is
Step-by-step explanation:
f(x)=2|x+6|-4
either x+6 is positive and then |x+6|=x+6
or it is negative and |x+6| = -(x+6)=-x-6
case 1: x>=-6
f(x)= 2x+12-4=2x+8
f(x)=6 <=> 2x+8=6 <=> 2x = 6-8=-2 <=> x = -1
case 2: x<=-6
f(x)=-2x-12-4=-2x-16
f(x)=6 <=> -2x-16=6 <=> 2x=-16-6 = -22 <=> x = -11
so to recap, the solutions are x=-1 and x=-11
Answer:
4 cups of flour is needed and 4/3 cups of sugar
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Step-by-step explanation:
Given
2 dozen Muffins; 3 cups of flour and 1 cup of sugar
Required
Determine the cups of flour if 18 muffins is used
First, we have to determine the proportion of the number of muffins used previously and now;
Represent this with p;
Multiply this to the previous cups of flours and sugars;
Cups of flour = p * previous cups of flour
Cups of Sugar = p * previous cups of sugar
<em>Hence, 4 cups of flour is needed and 4/3 cups of sugar</em>