Answer:
-1/8
Step-by-step explanation:
Perpendicular slopes are negative reciprocals
The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.
Negative:
8/1--> -8/1
Reciprocal:
Flip the numerator and denominator
-8/1--> -1/8
So, the perpendicular slope of 8 is -1/8
3. =1260
Step-by-step explanation:
3.= 9×(32+108)
= 9×140
= 1260 .
Obviously, what you looking for is slopes. Now let's get started.
6.) 7x-5y=20 You subtract 7x both sides.
-7x -7x
-5y=-7x+20 Then you divide -5 both sides (which is include -7 and 20).
y=7/5x-4 Simplify.
-8x-3y=12 Add 8x both sides because it's a negative number.
+8x +8x
-3y=8x+12 Divide -3 both sides.
y=-8/3x-4 Simplify.
And your point value is (0,-4).
7.) -x-4y=12 Add x both sides.
+x +x
-4y=x+12 Divide -4 both sides.
y=-1/4x-3 Simplify.
20x+80y=0 Subtract 20x both sides.
-20x -20x
80y=-20x Divide 80 both sides. Here's a hint: 20/80 is same thing as 2/8, so
you don't have to do all that.
y=1/4x Simplify. Here's another hint: I bet you wondering there's no y- intercept. The y-intercept is (0,0).
Both of the functions are parallel, so there's no solution.
8.) 30x+50y-100=0 Add 100 both sides.
+100 +100
30x+50y=100 Subtract 30x both sides.
-30x -30x
50y=-30x+100 Divide 50 both sides.
y=-3/5x+2 Simplify.
3x-15y-30=0 Add 30 both sides.
+30 +30
3x-15y=30 Subtract 3x both sides.
-3x -3x
-15y=-3x+30 Divide -15 both sides.
y=1/5x-2 Simplify.
And your point value is (5,-1).
I hope it helps.
The curve of production possibilities would shift inward because labor is considered a factor of production. By reducing productive resources, the maximum level of production will decrease and unemployment level increases.
In a Market Economy, Employment and Production Levels are set by balance between Supply and Demand. In this situation, a reduction on Demand means that Level of Production is higher than what Market can afford and there are two possibilities: (i) Lowering prices of goods and services, which may be perjudicial for businessmen and capitalists but may allow to sell this surplus, (ii) Firing some workforce to eliminate Supply surplus, since there is a relationship between Workforce and Production, which is tinged with other production factors as Technology and Skills.
Hence, the curve of production possibilities would shift inward because labor is considered a factor of production. By reducing productive resources, the maximum level of production will decrease and unemployment level increases.
Please see this question related to Market Economy: brainly.com/question/2343400
Answer:
Last option: Keep the base the same and then subtract the exponents.
Step-by-step explanation:
There is a property called "Quotient of power property".
This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:

Then, you need to apply this property to the expression
to simplify it.
Therefore, you get that the expression simplified is:
