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seraphim [82]
2 years ago
5

Help please please !!!!!!!

Mathematics
1 answer:
lyudmila [28]2 years ago
7 0
In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.

System A
  x² + (-x/2)² = 17
  x² = 17/(5/4) = 13.6
  x = ±√13.6 . . . . 2 real solutions

System B
  -6x +5 = x² -7x +10
  x² -x +5 = 0
The discriminant is ...
  D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions

System C
  y = 8x +17 = -2x² +9
  2x² +8x +8 = 0
  2(x+2)² = 0
  x = -2 . . . . 1 real solution
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Answer:

Half a pound.

Step-by-step explanation:

To find the number of pounds he ate, multiply the fractions.

\frac{5}{6}*\frac{3}{5} = \frac{15}{30}=\frac{1}{2}

He ate 1/2 a pound.

8 0
3 years ago
Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

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(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

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5 0
3 years ago
Express each ratio as a fraction in simplest form.. . 34 laptops out of 116 computers. a.. 35 laptops:116 computers. c.. 17 lapt
Travka [436]
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2 years ago
Line I is parallel to line m.if the maesure of angle 6 is 75 what is the measure of angle 3
devlian [24]

Answer:

105

Step-by-step explanation:

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8 0
3 years ago
If you can help 1-12 that’s great if not just help with what you can thanks
bearhunter [10]
(1. -2) (2. 0) (3. 6) (4. 3)





5 0
2 years ago
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