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bezimeni [28]
3 years ago
15

A triangle has sides with lengths of 37 yards, 54 yards, and 62 yards. Is it a right triangle?

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer:

Step-by-step explanation:

Are the sides consistent with the Pythagorean theorem?

37² + 54² ≟ 62²

1369 + 2916 = 4285 ≠ 62²

Not a right triangle.

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Find the zeros of the function g(x) = 2x2 - 5x + 2.
sertanlavr [38]
G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)

= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)

g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0

x = 2 or x = 0.5
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Your mother gave you $13.32 to buy a present. This covered 1/5 of the cost. How much did the present cost?
Nady [450]

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$66.60

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If 1once of toppings costs. .50 how much would 11onces be
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An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?
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Factor completely x^4-17x^2+16​
Snowcat [4.5K]

Answer:

(x - 1) (x + 1) (x - 4) (x + 4)

Step-by-step explanation:

actor the following:

x^4 - 17 x^2 + 16

x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:

(x^2)^2 - 17 x^2 + 16

The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):

(x^2 - 1) (x^2 - 16)

x^2 - 16 = x^2 - 4^2:

(x^2 - 1) (x^2 - 4^2)

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

(x - 4) (x + 4) (x^2 - 1)

x^2 - 1 = x^2 - 1^2:

(x^2 - 1^2) (x - 4) (x + 4)

Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):

Answer: (x - 1) (x + 1) (x - 4) (x + 4)

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