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pishuonlain [190]
3 years ago
6

find the lenght of the poster board is 2 feet and the width is 1 whats the serea of the board of the poster

Mathematics
1 answer:
rusak2 [61]3 years ago
8 0
2 square feet is the answer


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We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.
dolphi86 [110]

If you're just focusing on the boundary, it's the circle x^2+y^2=1. Parameterize it by taking x=\cos t and y=\sin t, with 0\le t\le2\pi. Then f(x,y) reduces to a univariate function g(t):

f(x,y)=10x^2+11y\iff g(t)=f(\cos t,\sin t)=10\cos^2t+11\sin t

Then you can find any extrema on the boundary by checking the critical points of g.

8 0
3 years ago
The globe used in social studies class has a diameter of 42 centimeters, What is its volume
Leni [432]

Answer:

Step-by-step explanation: pi r^2

so 42/2 equals 21 radius

volume=22/7 x 21^2

v=1385

5 0
3 years ago
Read 2 more answers
Factor completely 2x^2+6x-80
Rom4ik [11]

Answer:

x= -8 , x=5

Step-by-step explanation:

2x^2+6x-80=0

x^2+3x-40=0

look for 2 numbers that their:

sum = 3

product = -40

(x+8)(x-5)=0

thus

x= -8 , x=5 (ANS)

7 0
3 years ago
What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)
Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

- 5y = - 8x + 2 ( divide all terms by - 5 )

y = \frac{8}{5} x - \frac{2}{5} ← in slope- intercept form

with slope m = \frac{8}{5}

• Parallel lines have equal slopes, hence

y = \frac{8}{5} x + c ← is the partial equation of the parallel line

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = \frac{8}{5} x + 6 ← in slope- intercept form

Multiply through by 5

5y = 8x + 30 ( subtract 5y from both sides )

0 = 8x - 5y + 30 ( subtract 30 from both sides )

8x - 5y = - 30 ← in standard form

3 0
3 years ago
Add or subtract. Express in simplest form.<br> -4 1/3 +1 1/6
ratelena [41]
You would add because that is just how i thought of it
4 0
3 years ago
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