First off, what's the slope of "r" anyway,
![\bf y=\stackrel{slope}{-\cfrac{1}{2}}x-4](https://tex.z-dn.net/?f=%5Cbf%20y%3D%5Cstackrel%7Bslope%7D%7B-%5Ccfrac%7B1%7D%7B2%7D%7Dx-4)
.
low and behold, since "r" is in slope-intercept form, notice, it has a slope of -1/2.
now, any line perpendicular to "r", will have a
negative reciprocal slope to it, that is,
![\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{2}\\\\ negative\implies +\cfrac{1}{{{ 2}}}\qquad reciprocal\implies + \cfrac{{{ 2}}}{1}\implies 2](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bperpendicular%2C%20negative-reciprocal%20slope%20for%20slope%7D%5Cquad%20-%5Ccfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%0Anegative%5Cimplies%20%20%2B%5Ccfrac%7B1%7D%7B%7B%7B%202%7D%7D%7D%5Cqquad%20reciprocal%5Cimplies%20%2B%20%5Ccfrac%7B%7B%7B%202%7D%7D%7D%7B1%7D%5Cimplies%202)
so we're really looking for a line whose slope is 2, and runs through 4,-3,
Answer:
<h3>SLICE OF BREAD</h3>
Step-by-step explanation:
If a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, in order to determine the number of whole cheese sandwiches that can be prepared from 44 slices of bread and 69 slices of cheese, we will use the equality postulate as shown;
1 cheese sandwich = 2 slices of bread
x cheese sandwiches = 44 slices of bread
cross multiply
2 * x = 1 * 44
2x = 44
divide both sides by 2
2x/2 = 44/2
x = 22
Similarly;
1 cheese sandwich = 3 slices of cheese
y cheese sandwiches = 69 slices of cheese
cross multiply
3 * y = 1 * 69
3y = 69
divide both sides by 3
3y/3 = 69/3
3y = 23
<em>Since both values of x and y are greater than or equal to 22 hence 22 sandwiches can be prepared from 44 slices of bread and 69 slices of cheese. </em>
<em><u>Since the amount of cheese sandwiches made from slices of bread (22) is not up to that made from slices of cheese (i.e 23),</u></em> hence the ingredient that limits the number of sandwiches that can be made is the <u>slice of bread</u>
Answer: B. No solutions
Step-by-step explanation: Step 1: Simplify both sides of the equation.
7−4x=2+x+6−5x
7+−4x=2+x+6+−5x
−4x+7=(x+−5x)+(2+6)(Combine Like Terms)
−4x+7=−4x+8
−4x+7=−4x+8
Step 2: Add 4x to both sides.
−4x+7+4x=−4x+8+4x
7=8
Step 3: Subtract 7 from both sides.
7−7=8−7
0=1
Answer:
y=-4
Step-by-step explanation:
2y-18=-26
2y=-26+18
=-8
y=-8÷2
=-4