Simplify: 6 to the the 6th power multiplied by 6 to the second power

what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe

djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = $\dfrac{ - 1}{m}$

Or, M = $\dfrac{ - 1}{1}$

∴ M = - 1

Now, Equation of other line in point-slope form

The other line is passing through point (2 , 2) and slope M = - 1

So, y - $y_1$ = M × (x - $x_1$ )

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 . Answer

5 0

4 years ago

Sweetums finds that the cost of making a certain candy bar .15 per bar and that the fixed rate is 600 per week if each bar sells

PilotLPTM [1.2K]

We know that:

Profit = Revenue - Cost

Let us say x number of candies are made per week.

Finding Cost per week:

Cost of making 1 bar = 0.15

Cost of making x bars = 0.15x

Fixed rate of making candies per week = 600

Total cost of making x candies per week = 600 + 0.15x

Now let us find Revenue:

Selling price of each bar = 1.50

Selling price of x bars = 1.50x

Now we have to find profit,

Profit = Revenue - Cost

In order to have profit Revenue - Cost >0

So plugging values of revenue and cost to get number of candies,

$1.50x-(0.15x+600)>0$

$1.50x-0.15x-600>0$

$1.35x-600>0$

$1.35x>600$

x>444.44

Rounding off

x>444

Answer: The company must sell greater than 444 candies in order to make profit.

7 0

3 years ago

Deisha can build a fence in 15 hours, and Travis can build a fence in 12 hours. How long will it take them together to build a f

Basile [38]

Answer:

6 $\frac{2}{3}$

Step-by-step explanation:

Deisha's build rate = 1 fence per 15 hours = 1/15 fences per hour

Travis's build rate = 1 fence per 12 hours = 1/12 fences per hour

Working together, their combined rate is 1/15 + 1/12 = 3/20 fences per hour

So it takes them 20/3 = 6 2/3 hours per fence

6 0

3 years ago

Evaluate the expression 5(7 - 4)2 + 3 + 11. •3 •14 •26 •33

RoseWind [281]

Answer:

33

Step-by-step explanation:

im not sure actually

5 0

3 years ago

Read 2 more answers

Estimate each product 1/6 of 17

sweet-ann [11.9K]

2 is the estimated product the exact answer is 2.83

3 0

3 years ago

Simplify: 6 to the the 6th power multiplied by 6 to the second power​

Simplify: 6 to the the 6th power multiplied by 6 to the second power