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larisa86 [58]
3 years ago
10

Who was the first prince of Russia to be crowned as a czar

Mathematics
1 answer:
liraira [26]3 years ago
4 0
It should be Ivan IV
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12+[(15-5)]+(9-3)] what is the answer
kherson [118]

Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

6 0
4 years ago
Read 2 more answers
Hi. Please help me with these questions <br> See image for question.Answer no 6 and 7
Gnom [1K]

Answer:

  • 6. See solution
  • 7. k = 2, k = -6

Step-by-step explanation:

6.

<u>Given equation:</u>

  • 2(x + 2)² + p(x + 1) = 0
  • The sum of the roots is q1 and the product of the roots is q2

Need to show that q1+q2 = 0

<h3>Solution</h3>

<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>

  • 2(x + 2)² + p(x + 1) = 0
  • 2x² + 8x + 8 + px + p = 0
  • 2x² + (p + 8)x + (p + 8) = 0

<u>Sum of the roots: </u>

  • q1 = - b/a = -(p + 8)/2

<u>Product of the roots:</u>

  • q2 = c/a = (p + 8)/2

<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>

  • q1 + q2 = -(p + 8)/2 +  (p + 8)/2 = 0

=============================================

7.

<u>Given quadratic equation:</u>

  • x² - (k + 2)x + 4 = 0
  • It has equal roots

Need to find the possible values of k

<h3>Solution</h3>

<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>

  • D = 0
  • √b² - 4ac = 0
  • √(-k -2)² - 4*1*4 = 0
  • √k² + 4k + 4 - 16 = 0
  • √k² + 4k - 12 = 0
  • k² + 4k - 12 = 0
  • k = {-4 ± √4² -4*1*(-12)}/2
  • k = (-4 ± √16 + 48)/2
  • k = (-4±√64)/2
  • k = -2 ± 4
  • k = 2, k = -6
7 0
3 years ago
Rebecca wants to put 544 pennies in a coin collection book. the blue book fits 9 pennies per page. the red book fits 7 pennies p
natali 33 [55]
If she uses the blue book then she will need,

544/9 ≈ 61 pages

If she uses the red book the she will need, 

544/7 ≈ 78 pages

So she will need 17 more pages if she uses the red book.

Hope this helps :)
6 0
4 years ago
at an arcade there are 57 tokens for a party. since it is willis’ birthday, he takes 12 tokens. The remaining tokens are shared
nikklg [1K]

Answer:

9 tokens

Step-by-step explanation:\frac{45}{5}

5 = Amount of friends

12 = Amount of tokens that Will takes

57 = total amount of tokens.

45 = amount of tokens left over after Will takes 12.

57 - 12 = 45

\frac{45}{5}

9

4 0
3 years ago
Need help Its Geomety
Akimi4 [234]

Step-by-step explanation:

Side CF is <em>1</em><em>0</em><em> </em><em>due</em><em> </em><em>to</em><em> </em><em>opposite</em><em> </em><em>sides</em><em> </em><em>paralleogram</em><em> </em><em>theorem</em>

<em>FE</em><em> </em><em>is</em><em> </em><em>1</em><em>5</em><em> </em><em>also</em><em>.</em>

<em>CE</em><em> </em><em>is</em><em> </em><em>1</em><em>4</em><em> </em><em>since</em><em> </em><em>it</em><em> </em><em>bisects</em><em> </em><em>it</em><em> </em><em>other</em><em> </em><em>half</em>

<em>GD</em><em> </em><em>is</em><em> </em><em>1</em><em>1</em><em> </em><em>since</em><em> </em><em>it</em><em> </em><em>half</em><em> </em><em>of</em><em> </em><em>2</em><em>2</em><em>.</em>

6 0
3 years ago
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