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Sergio [31]
2 years ago
7

Ashton designs movie sets. For one scene, he has to hang a banner across an archway that takes the shape of a parabola modeled b

y the quadratic equation y = −x2 + 6x. The banner is to be hung at an angle defined by the linear equation y − x = 4, as shown in the figure.
Mathematics
2 answers:
Crazy boy [7]2 years ago
5 0
No question is asked so I'm not sure what you are looking for but below I calculated the point where the two equations intersect:
y - x = 4 → y = x + 4
y = - x² + 6x
x + 4 = - x² + 6x
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
 x = 4, x = 1

when x = 4, then y = x + 4 = 4 + 4 = 8 → (4,8)
when x = 1, then y = x + 4 = 1 + 4 = 5 → (1,5)

The line and parabola intersect at two points: (4,8) and (1,5)



FromTheMoon [43]2 years ago
4 0

Answer:

The two equations intersect at (1, 5) and (4, 8), so the banner should be hung at these two points.

Step-by-step explanation:

Plato Answer

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A drawing of a surfboard in a catalog, it shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/3 inch
Bond [772]

Answer:

9.5 feets

Step-by-step explanation:

Length of drawing = 8 4/9 inches

Scale : 1/3 inch in drawing = 3/8 actual length

Length of drawing / drawing scale

8 4/9 = 76/9 inches

Number of 1/3 inches in total length of drawing :

76/9 ÷ 1/3

76/9 * 3 / 1

(76*3) /(9*1) = 228 /9 = 9 3/9 = 9 1/3

9 1/3 * 3/8 foot

(228 / 9) * (3 /8)

(228/3) * (1/ 8)

228 / 24

= 9.5 feet

4 0
2 years ago
If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)
Sphinxa [80]

Answer:

cos34°

sin56°

Step-by-step explanation:

Sin(2x+42)= sin90-(3x+13)

Sin(2x+42) = sin(90-13-3x)

Sin(2x+42) = sin(77-3x)

2x + 42 = 77-3x

5x. = 35

X = 7

If x = 7

cos(3x+13) = cos((3*7)+13)

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cos(3x+13)= cos34

And

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sin(2x+42)= sin (14+42)

sin(2x+42) = sin56

4 0
2 years ago
True or false 49 is a irratinal number
Vikki [24]

Answer:

false

Step-by-step explanation:

49 is a rational no

brainliest pleazzzz......

7 0
3 years ago
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Butoxors [25]

Answer: 11 stickers each

Step-by-step explanation:

given data:

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no of stickers left with mark = 27

= Total no of stickers – stickers remaining with mark

= 60 – 27

= 33 stickers

he gave his 3 friends equal number of stickers.

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x = 11

number of stickers received by each friend is 11

3 0
3 years ago
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Alex17521 [72]
Your system could be anything, just remember that input should be half than the output.

So, y ≥ 1/2x
5y ≥ 5/2x
10y ≥ 5x

Hope this helps!
5 0
3 years ago
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