All categories

3 years ago

Write the standard form of the equation of the line passing through the point ( -3,5) and perpendicular to the line -5x-7y=7.

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

Answer:

all work is pictured and shown

You might be interested in

A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

7 0

2 years ago

Can you please help me on 2 and 3?

dexar [7]

Cant see it its cut off

4 0

2 years ago

8. © Assessment An old building has

Pani-rosa [81]

Answer:

Step-by-step explanation:

big windows 48

small windows 12

broken windnows9

unbroken windows= 48+12-9= 51

unbroken 51 windows

7 0

2 years ago

Please help me- thank you

Kruka [31]

Answer:

a) The profit will be: $Profit=y^2-99500$

b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

Step-by-step explanation:

Cost of Bicycles= $y^2+10y+100,000$

Revenue generated = $2y^2+10y+500$

Find a polynomial that represent profits

The formula used for finding profit is:

$Profit = Total \ Revenue - Total \ Cost\\Profit= 2y^2+10y+500 - (y^2+10y+100,000)\\Profit= 2y^2+10y+500 - y^2-10y-100,000\\Profit=2y^2-y^2+10y-10y+500-100,000\\Profit=y^2-99500$

So, the profit will be: $Profit=y^2-99500$

If the company can produce bicycles y= 300

The profit will be:

$Profit=y^2-99500\\Profit=(300)^2-99500\\Profit=90000-99500\\Profit=-9500$

Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

5 0

2 years ago

Question

hichkok12 [17]

Answer:

Area: 201.06

Circumference:50.26

Step-by-step explanation:

Area of a circle: pi*r^2

8^2=8*8=64

64*pi=201.06193 Rounded to the neares hundredth=201.06

_________________________________________________

Circumference of a circle: 2pi * r

2*8=16

16*pi=50.2654825 Rounded to the nearest hundredth = 50.26

4 0

2 years ago