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VLD [36.1K]
3 years ago
10

Help me please with the steps on how you can find the number of solutions or zeros with these questions!

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

2x²+5x-9=0

using quadratic formula

a=2 b=5 c=-9

x=[-5±√5²-4(2)(-9)]/2(2)

x=[-5±√97]/4

the zeros are( -5±√97)/4

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
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Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}

A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}

Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

\frac{A_{1}}{A_{2}} = 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

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What is the prime factorization of the number 55?
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Answer:

11 if im right :)

Step-by-step explanation:

6 0
2 years ago
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fgiga [73]
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3 years ago
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Answer:

False

Step-by-step explanation:

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