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butalik [34]
2 years ago
9

I have one more question before im done so please help and have a good day.

Mathematics
1 answer:
3241004551 [841]2 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

<h3>Part A</h3>

<u>Solve the equation:</u>

  • 6x² + 48x + 120 = 0
  • x² + 8x + 20 = 0
  • x² + 8x + 16 + 4 = 0
  • (x + 4)² + 4 = 0
  • (x + 4)² = - 4

The left side is positive and right side is negative so no solution

<h3>Part B</h3>

There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.

It means the diver won't reach the bottom of the lake

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Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.
boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0
3 years ago
Pls help 25h²- 16t² factorise it​
noname [10]

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

8 0
2 years ago
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WILL MARK BRAINLIEST!!!! PLZ HELP!!!! Using the two-way table, what percentage of the students that like to travel out of state
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Answer:

  41%

Step-by-step explanation:

The table shows that 36 of the 88 students that like traveling out of state do not like camping. That percentage is ...

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7 0
3 years ago
This is my last question it’s due at midnight can I please get help in a hurry
Sophie [7]

N = 9

explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.

more help:

Q = G

10.5 = 7

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H = R

4 = 6

9 = N

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2 years ago
Linear pair angles are: Always congruent Sometimes congruent or Never congruent​
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Always

Step-by-step explanation:

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