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Andreas93 [3]
2 years ago
13

Here is the question in the image

Mathematics
1 answer:
Artist 52 [7]2 years ago
6 0

The coordinates of the edges of the <em>mini-solar</em> cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).

The distance between the two edges is 120 centimeters.

The equation for the <em>parabolic</em> mirror is x + 32 = (2/225) · y².

<h3>How to analyze a parabolical mini-solar cooker </h3>

Herein we must understand the geometry of the design of the <em>mini-solar</em> cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:

y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}

y = ± 60

The coordinates of the edges of the <em>mini-solar</em> cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.

Lastly, the equation of the <em>parabolic</em> mirror can be determined based on the equation of the parabola in <em>vertex</em> form:

x - h = C · (y - k)²     (1)

Where:

h, k - Coordinates of the vertex

C - Vertex constant

If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:

0 + 32 = C · 60²

C = 2/225

Then, the equation for the <em>parabolic</em> mirror is x + 32 = (2/225) · y².

To learn more on parabolae: brainly.com/question/21685473

#SPJ1

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5 0
3 years ago
Find the seventh term of the expansion of (3x+7y)^11
Ber [7]

13,207,982,634 x⁵y⁶

Step-by-step explanation:

We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;

(3x + 7y)^11  =  ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....

The 7th term in our case is;

₁₁C₆ (3x)⁵(7y)⁶

According to the attached Pascals Triangle, the coefficient  for our term should be 462, so;

462 (3x)⁵(7y)⁶

= 462 (243x⁵) (117,649y⁶)

= 13,207,982,634 x⁵y⁶

Learn More:

brainly.com/question/2609570

brainly.com/question/11861820

#LearnWithBrainly

3 0
3 years ago
Read 2 more answers
12 POINTS PLEASE HELP ME
Setler [38]

Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83

7 0
2 years ago
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brilliants [131]

Answer:

i need the slope or i need a picture or another point

Step-by-step explanation:

4 0
3 years ago
During the winter of 2012–2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of
Virty [35]

Answer:

<em>Buffalo's snowfall rate is 1.83</em>

Step-by-step explanation:

<u>Rate of change</u>

It usually refers to how fast one quantity changes with respect to another, frequently time.

In our problem, we are given the information on two snowfall rates, one during the winter of 2012–2013 in Buffalo, New York, and the other in Oswego, New York. Buffalo received 22 inches of snow in 12 hours. It means the rate of change or ratio of snowfall in time is:

\boxed{\displaystyle s_1=\frac{22}{12}=1.83}

The snowfall rate received by Oswego is:

\displaystyle s_2=\frac{31}{15}=2.07

6 0
3 years ago
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