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pav-90 [236]
3 years ago
15

Find all zerosf(x)=x^4+6x^3+173x^2+332x+164​

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0
The zeros are (-1,0)
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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
SQRT is a parallelogram. If m∠QST = 72°, which of the following statements is true?
Mrrafil [7]
The answer to your question is option b because opposite angles in a quadrilateral are equal to one another
7 0
3 years ago
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Eva had 7/8 gallon of paint. His brother ivan used 1/4 gallon to paint his model boat. Eva needs at least 1/2 gallon to paint he
algol13

Answer: .625 (yes he did leave enough


Step-by-step explanation: First you need to divde the fractions( or solve them) ,so 7 divided by 8 and so on Then you take subtract the paint ivan used, if it is less than half than ivan didn't leave enough for his poor sister

but there are other ways if this one is to hard  


6 0
3 years ago
URGENT PLEASE HELP!!
Lostsunrise [7]

Answer:

the answer I got is a=-the sign and but 2b under it +7

3 0
2 years ago
What is the value of 4x^2+5x when x=1
erastovalidia [21]
So the answer to this equation is 9
to find the answer we first need to substitute the x for 1
so the equation would be 4×1^2+5*1
so now we simplify the equation so it would be 4+5×1
and 4+5*1 simplified is 4+5
and 4+5=9
6 0
2 years ago
Read 2 more answers
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