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TEA [102]
4 years ago
13

Factor completely x2 + 20x − 36.

Mathematics
1 answer:
vodomira [7]4 years ago
5 0

Answer:

Prime

Step-by-step explanation:

x² + 20x − 36

You must find a pair of numbers that multiply to give -36 and add to give +20.

The likely candidates are 2 and 18, and they must have opposite signs to give a negative product.

+2 × (-18) = -36; +2 + (-18) =   -16

-2 ×   18  = -36;  -2 +     8   = +16

Neither combination gives +20 as the sum.

The expression can't be factored with rational numbers.

The expression is prime.

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Rachel and her friends are making necklaces out of beads and straws. They plan to use 12 beads and 5 straws for each necklace. T
bagirrra123 [75]

Answer:

225 necklaces.

Step-by-step explanation:

Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.

t = b/12  ... where t is the total amount of necklaces and b is the number of beads you have

t = 2700 / 12

225 necklaces.

For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.

3 0
4 years ago
Which plane is closer to the base of the airport tower? Explain.
Annette [7]

Answer:

Plane B is closer.

Step-by-step explanation:

Plane B is closer.

The distance for Plane A is 7.9 km.

The distance for Plane B is 7.4 km.

Step-by-step explanation:

To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...

-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km

-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km

The Pythagorean theorem can be used to find the distance from each plane to the tower:

-- distance = √((ground distance)² + (height)²)

-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km

-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km

The distance for Plane B is shorter, so Plane B is closer to the tower.

7 0
3 years ago
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Find the area and the circumference of a circle with diameter 4 ft
GenaCL600 [577]

Answer:

Circumference is 12.56

Area is 6.28

Step-by-step explanation:

4×3.14=12.56

2×3.14=6.28

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3 years ago
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Vitek1552 [10]

Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

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2 years ago
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10 chefs can prepare a meal for 536 people in
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737 people I’m pretty sure
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3 years ago
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