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WARRIOR [948]
3 years ago
9

PLEASE HELP

Mathematics
1 answer:
Rudik [331]3 years ago
5 0
y=75\ \ \ \ x=5\\\\
y=?\ \ \ \ \ x=3\\\\
proportion:\\
\frac{75}{y}=\frac{5}{3}\ \ \ | cross\ multiplication\\\\
75*3=5y\\\\
225=5y\ \ \ | divide\ by\ 5\\\\
y=45

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A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What
Alinara [238K]

9514 1404 393

Answer:

   625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

  A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

8 0
3 years ago
Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti
ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

3x+3y=8

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a.3x+3y=8

Differentiate w.r.t x then we get

3+3\frac{dy}{dx}=0

3\frac{dy}{dx}=-3

\frac{dy}[dx}=\frac{-3}{3}=-1

\frac{dy}{dx}=y'=-1

b.3x+3y=8

3y=8-3x

y=\frac{8-3x}{3}

Differentiate w.r.t x then we get

\frac{dy}{dx}=\frac{-3}{3}=-1

\frac{dy}{dx}=y'=-1

When we substituting the value of y obtained from part b into a solution of part a then we get

y'=-1

Hence, solutions are consistent.

8 0
3 years ago
Family Video charges $10 for
Irina18 [472]

Answer:

4 movies, $20

Step-by-step explanation:

Given data

Family Video

charges $10 for a monthly membership and

$2.50 per movie

let the number of movies be x

and the charge for x movies be y

y= 10+2.5x----------1

Babe's  Movies

charges a $12

membership and $2 per

movie.

let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

equate 1 and 2

10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

put x= 4 in equation 1 or 2

y= 12+2x----------2

y= 12+2*4

y= 12+8

y= $20

4 0
3 years ago
What is the total surface area of the pyramid below?
mel-nik [20]

Answer:I guess 6 ft as you gave same options

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A line includes the points (-3, 8)and (-1, 2). What is its equation in slope- intercept form
Natasha_Volkova [10]
Solve for slope first:
m = \frac{y2 - y1}{x2 - x1}

m = \frac{2-8}{-1-(-3)} = -3

then solve for b in y = mx + b

8 = -3(-3) + b
b = -1

y = -3x - 1
5 0
3 years ago
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