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77julia77 [94]
3 years ago
13

Put <, >, or = for 2-9

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

2. =

3. >

4. =

5. >

6. >

7. <

8. >

9. =

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For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k
slega [8]

\text{Given that,}\\\\P(x) = x^3 -x^2 -18x+k\\\\\text{If the roots are}~ \alpha, ~ \beta,~\text{and}~ \gamma, ~ \text{then},\\\\\alpha +\beta+\gamma= -\dfrac{(-1)}1 = 1\\\\\alpha \beta +\beta \gamma + \gamma \alpha= -\dfrac{18}1 = -18\\ \\\text{Now, sum of the  squares of the roots,}\\\\\alpha^2 + \beta^2 + \gamma^2 = ( \alpha + \beta + \gamma)^2 -2(\alpha \beta + \gamma \beta + \gamma \alpha)\\ \\~~~~~~~~~~~~~~~~~~=1^2 - 2(-18)\\\\~~~~~~~~~~~~~~~~~~=1+36\\\\~~~~~~~~~~~~~~~~~~=37

6 0
2 years ago
Solve for m<br><br><br> m<br><br> m<br><br><br><br><br><br><br><br><br><br><br><br> Please help!!!
jarptica [38.1K]

Answer:

m∠ TRS = 60° , m∠ SRW = 120°

Step-by-step explanation:

First, find x

∠TRS = ∠VRW (vertically opposite angles are equal)

x + 40° = 3x

x - 3x = -40

-2x = -40

x = -40/-2

x = 20

m∠ TRS = 60°  [x + 40 = 20+40 = 60]

m∠ SRW + m∠ TRS = 180° (linear pair)

m∠ SRW + 60° = 180°

m∠ SRW = 180° - 60°

m∠ SRW = 120°

hope this helps you

6 0
2 years ago
The function f(x) = is translated up 4 units. Which equation represents the translated function?
kkurt [141]

Answer:

The translated function can be written as:

y = f(x) + 4

3 0
2 years ago
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How ofteten Do chemists study the elements
sweet-ann [11.9K]
Daily, there is always something new to be learning in the science world.
7 0
2 years ago
.////////////PLEASE HELPPPPP
Reptile [31]

Answer:

106°

Step-by-step explanation:

Supplementary angles add up to 180°

180°- 74°

= 106°

6 0
3 years ago
Read 2 more answers
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