First, you find the unit rate by dividing 36 by 12. That gets you 3 feet of ribbon per package. Since you need to find how many feet of ribbon are in 21 packages, you multiply 21 and 3. 21x3= 63

5 0

3 years ago

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write the linear equation from the given information in slope intercept form passing through (-2,8) and perpendicular to y=2x+5

Leto [7]

Answer:

y = $-\frac{1}{2}$ x + 9

Step-by-step explanation:

Given parameters:

Coordinates = (-2,8)

Equation of the line y = 2x + 5;

Unknown:

Linear equation of a line perpendicular = ?

Solution:

From the given expression, a line perpendicular will have a negative inverse of the slope given.

y = 2x + 5

Equation of a line is y = mx + c;

y and x are the coordinates

m is the slope

c is the intercepts

y = 2x + 5 ;

The slope is 2;

A line perpendicular will have a slope of $-\frac{1}{2}$

Since y = 8 and x = -2, let us find c;

8 = 2 x $-\frac{1}{2}$ + c

8 = -1 + c

c = 8+1 = 9

The equation of the line is;

y = $-\frac{1}{2}$ x + 9

7 0

2 years ago