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nalin [4]
3 years ago
7

Can someone explain to me how to do this?

Mathematics
1 answer:
shtirl [24]3 years ago
5 0
Answer: \\ {x}^{2} + 1 = 5x\Leftrightarrow {x}^{2} - 5x + 1 = 0 \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} = \frac{5\pm \sqrt{25 - 4} }{2} = \frac{5 \pm \sqrt{21} }{2} \\ \Rightarrow A \: \& \: C
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Solve the system of equations
kaheart [24]

Answer:

x=-12,y=3

Step-by-step explanation:

1/2x+6y=12

y=x+15

since y=x+15

substitute y in first equation, we have

1/2x+6(x+15)=12

open the bracket

1/2x+6x+90=12

1/2x+6x=12-90

x/2+6x= -78

13x/2=-78

13x=2×-78

x=-12

Now x=-12, put x=-12 in the second equation, we have

y=x+15

y=-12+15

y=3

hope it helps

3 0
2 years ago
Read 2 more answers
given 65,72 and 96 as the three sides of a triangle, classify it as one of the following in the picture. please help!!!!​
Valentin [98]

Answer:  A) Acute

<u>Step-by-step explanation:</u>

Compare the sum of the squares of the two smaller numbers (a² + b²) to the square of the largest number (c²).

  • If a² + b² > c², then the triangle is Acute
  • If a² + b² = c², then the triangle is Right
  • If a² + b² < c², then the triangle is Obtuse

 65² +   72²   ____   96²

4225 + 5184  ____ 9216

       9409         >     9216      <em>So, the triangle is Acute</em>.

7 0
3 years ago
If the radius of a circle is 10cm, what will be the area of the circle?
malfutka [58]

Answer:

314

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the definite integral of log (tan x) with range from 90 to 0
nasty-shy [4]

Substituting <em>x</em> with <em>π</em>/2 - <em>x</em> gives the equivalent integral,

\displaystyle\int_0^{\frac\pi2}\log(\tan(x))\,\mathrm dx=-\int_{\frac\pi2}^0\log(\cot(x))(-\mathrm dx)=\int_0^{\frac\pi2}\log(\cot(x))\,\mathrm dx

So if we let <em>J</em> denote the value of the integral, we have

J=\displaystyle\int_0^{\frac\pi2}\log(\tan (x))\,\mathrm dx

J=\displaystyle\int_0^{\frac\pi2}\log(\cot (x))\,\mathrm dx

\implies 2J=\displaystyle\int_0^{\frac\pi2}\left(\log(\tan (x))+\log(\cot (x))\right)\,\mathrm dx

Condensing the logarithms, we have

log(tan(<em>x</em>)) + log(cot(<em>x</em>)) = log(tan(<em>x</em>) cot(<em>x</em>)) = log(1) = 0

since cot(<em>x</em>) = 1/tan(<em>x</em>), which means

2J=\displaystyle\int_0^{\frac\pi2}0\,\mathrm dx=0

and so the original integral has a value of <em>J</em> = 0.

3 0
3 years ago
HELP HELP QUICK WILL GET MARKED BRAINLIEST
jeyben [28]
I believe you're right with what you have
the price decrease being 5% (the .95) and the increase by 15% (the 1.15)
8 0
4 years ago
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