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Lorico [155]
3 years ago
13

Factor each expression completely.

Mathematics
1 answer:
netineya [11]3 years ago
5 0
Use:\\a^2-b^2=(a-b)(a+b)\\(a\pm b)^2=(a^2\pm2ab+b^2\\==============================\\27.\\18z^2-8=2(9z^2-4)=2\left[(3z)^2-2^2\right]=2(3z-2)(3z+2)\\\\29.\\2a^2-16a+32=2(a^2-8a+16)=2(a^2-2a\cdot4+4^2)=2(a-4)^2\\=2(a-4)(a-4)\\\\31.\\12x^2+36x+27=3(4x^2+12x+9)=3[(2x)^2+2\cdot2x\cdot3+3^2]\\=3(2x+3)^2=3(2x+3)(2x+3)

33.\\3x^2-24x-27=3(x^2-8x-9)=3(x^2+x-9x-9)\\=3[x(x+1)-9(x+1)]=3(x+1)(x-9)\\\\35.\\-x^2+5x-4=-(x^2-5x+4)=-(x^2-x-4x+4)\\=-[x(x-1)-4(x-1)]=-(x-1)(x-4)\\\\37.\\x^2-y^2=(x-y)(x+y)\\\\39.\\-6z^2-600=-6(z^2+100)
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50 POINTS WILL MARK BRAINLIEST
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The scale factors can be found by writing the corresponding bases of the two rectangles as a ratio, which gives either 2:10 or 10:2. Ratios can also be written as fractions, so the scale factors then become either 1/5 or 5. The answers are A and B.
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Is (1, 2) a solution to this system of equations? ****Show work!****
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Answer:

(1, 2) is a solution to this system of equations

Step-by-step explanation:

Plug in (1, 2) into each equation

17x + y = 19

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19 = 19  ----------->YES

8x + 5y = 18

8(1) + 5(2) = 18

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Answer:

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3 years ago
The circumference of a circle is 157 centimeters. What is the area of the circle in terms
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Answer:

The area of the circle is 56.25π cm²

Step-by-step explanation:

  • The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
  • The formula of the area of a circle with radius r is A = πr²

<em>To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area</em>

∵ The circumference of a circle is 15π centimeters

∵ C = 2πr

- Equate 2πr by 15π

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- Divide both sides by π

∴ 2 r = 15

- Divide both sides by 2

∴ r = 7.5 centimeters

Now let us use the rule of the area to find it

∵ A = πr²

∴ A = π(7.5)²

∴ A = 56.25π centimeters²

The area of the circle is 56.25π cm²

7 0
3 years ago
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