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MissTica
3 years ago
8

Rewrite without parentheses and simplify (y-5)^2

Mathematics
2 answers:
QveST [7]3 years ago
6 0
Answer:

y^2 - 10y + 25

Step-by-step explanation:

(y - 5)^2 =

(y - 5) • (y - 5)

Multiply y times y

y^2

Add 5 and 5

10

Multiply 5 and 5

25

Add these terms together

y^2 - 10y + 25

Eddi Din [679]3 years ago
4 0

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

  • (a - b)² = a² - 2ab + b²
  • (a + b)² = a² +2ab + b²
  • (a - b) (a + b) = a² - b²

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

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The distance formula is d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span>d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span>d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49
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D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>
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