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laila [671]
2 years ago
5

8. Find the equation of the line through the origin and point (3,4) Slope = Equation=​

Mathematics
1 answer:
abruzzese [7]2 years ago
7 0

Answer:

y=1\frac{1}{3} x

Step-by-step explanation:

Since the line goes through the origin and is propotinal, we just do y/x

4/3= 1 1/3

y=1 1/3x

CHECK (Using desmos)

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Verizon [17]
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3 years ago
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
(I need someone to answer fast please and a clear answer too so ill mark them as brainlyest) :)
AVprozaik [17]

Answer: 12.6 m

Step-by-step explanation:

Use the pythagorean theorem, we get that the height, or x, is

sqrt(22x22-18x18) = sqrt(484-324) = sqrt(160) = 4sqrt(10) = 12.6 m

4 0
2 years ago
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