Answer:
y=-
x+
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-x+3/2
Answer:
11x(7 - 3x)
Step-by-step explanation:
77x - 33x² ← factor out 11x from each term
= 11x(7 - 3x)
Answer:
The sum of the interior angle is 108°
Step-by-step explanation:
To find the sum of the interior angle, you need this equation:
(The variable 
represents the number of sides does a shape have).
-Count the sides of the shape:
The following polygon shown, has 5 sides.
-After you have the number of sides of the polygon, use the number of sides for the equation and it will be written as:
-Then, you solve:
So, the sum of the interior angle is 
.
Answer:
Slope=2.
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where
X1,y1,=(-5, -11) X2,y2=(6,11).
Slope=-11-11/-5-6
=-22/-11
=22/11
=2
Slope is 2
Answer:
1. 
2. 
3. 
Step-by-step explanation:
<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />
1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:
The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:
Knowing that she spends $10, you can write the following equation:
2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":
3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:
