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olasank [31]
3 years ago
8

URGENT PLEASE HELP ME!!

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

D  2400 ft^2

Step-by-step explanation:

His joumey maps out a right angles triangle with base 80 and height 60.

The required area = 1/2 * 80 * 60

= 2400 ft^2

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Find the 2 critical points of the given function and then determine whether it is a local maximum, local minimum, or saddle poin
grandymaker [24]

Answer:

Step-by-step explanation:

Given is a function f in two variables as

f(x, y) = (x − y)(xy − 9)

To find critical points of the given function and also to find max, min or saddle point.

Find the partial derivatives

f(x,y) = x^2y-xy^2-9x+9y

f_x=2xy-y^2-9\\f_y =x^2-2xy+9\\f_{xy}  =2x-2y = f_{yx}

f_{xx}=2y\\ f_{yy}=-2x

Equate first derivatives to 0

Adding fx and fy we get

x^2-y^2 =0\\

x=±y

Only real roots are (x,y) =(3,3) and (-3,-3)

D(3,3)=f_{xx}(3,3) f_{yy}(3,3)-f_{xy}^2(3,3) \\=-36-0

(3,3) is a saddle point

D(-3,-3) = -36

(-3,-3) is also a saddle point.

7 0
3 years ago
What is the answer to 2/5 - 1/4
lapo4ka [179]
<span><span>2/5</span>−<span>1/4
</span></span><span>=<span><span>2/5</span>−<span>1/4
</span></span></span><span>=<span><span>2/5</span>+<span><span>−1/</span>4
</span></span></span><span>=<span><span>8/20</span>+<span><span>−5/</span>20
</span></span></span><span>=<span><span>8+<span>−5/</span></span>20
</span></span><span><span>=<span>3/20</span></span><span>(Decimal: 0.15)</span></span>
4 0
4 years ago
Sara put 7 boxes in her closet.Each box is for holding a different type of seashell. So far, there are 0 shells in each box. How
Rzqust [24]
Zero shells??? 0x7
this needs to be 20 characters long so ignore this
3 0
4 years ago
Write x² - 6x + 3 in the form (x-a)²+ b.​
zheka24 [161]

Answer:

(x + 3)² - 12

Step-by-step explanation:

x²+6x-3

=  x²+ 6x + 9 - 12

= (x + 3)² - 12

7 0
3 years ago
Logan's e-reader sent a notification saying that he has completed 75% of the e-book.
Vika [28.1K]

Answer:

The total number of pages in the e-book is 240.

Step-by-step explanation:

Given:

Logan has completed 75%

Logan has read 180 pages

To Find:

The total number of pages in the e-book= ?

Solution:

Let X be the total number of pages on the e-book

then

=> 75% of X = 180

Now lets find the value of X

X = \frac{180}{75\%}

X = \frac{180}{\frac{75}{100}}

X = \frac{180}{0.75}

X = 240

5 0
3 years ago
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