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4 years ago

8

The width of a rectangle is 3 inches shorter than the length. the perimeter of the rectangle is 18 inches. what is the length of

the rectangle

1 answer:

Mashcka [7]4 years ago

7 0

6 is the length and 3 is the width. 6+6+3+3=18

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Whats (-1) - (1/3) <br><br><br><br>please hurry<br>(in the form of a fraction)

prohojiy [21]

The answer is 2/3
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3 0

3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

At a construction job for a house there are 40 painters.of these painters 85% of them paint the interior of the house.how many p

grandymaker [24]

Answer:

34 painters were painting the interior

Step-by-step explanation:

40*.85= 34 and since .85 is the decimal of a the fraction 85% and we are trying to figure out 85% of 40 workers we times the two and find the answer to be 34 workers.

4 0

3 years ago

For the line represented by y = 5 x − 7, the slope is ________ and the

Dmitry_Shevchenko [17]

Answer:

For the line represented by y = 5 x − 7, the slope is 5 and the

y-intercept is -7.

Step-by-step explanation:

The equation is in <em>Slope-intercept form</em>.

$y=mx+b$

The letter 'm' represents the slope.

The letter 'b' represents the y-intercept.

In the equation $y=5x-7$ :

5 is the slope because it replaces 'm' in the equation. The 'm' is the slope.
-7 is the y-intercept because it replaces 'b' in equation. The 'b' represents the y-intercept.

<em>Brainilest Appreciated. </em>

8 0

3 years ago

Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first s

seropon [69]

Step-by-step explanation:

arithmetic sequence.

an = an-1 + c = a1 + (n-1)c

c is in our case 2 (every new shape has 2 more vertices).

we have a a1 = 3.

an = 3 + 2(n-1)

so,

a21 = 3 + 2(20) = 3 + 40 = 43

the 21st shadow will have 43 vertices.

7 0

3 years ago