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8_murik_8 [283]
4 years ago
15

The coordinates below represent two linear equations.

Mathematics
1 answer:
emmasim [6.3K]4 years ago
6 0
It could possibly have up to 5 solutions.
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Which of the following constants can be added to x^2 + 2/3x to form a perfect square trinomial?
Angelina_Jolie [31]
Hello.

A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.

\boxed{\mathsf{x^{2} + \dfrac{2}{3} x}}

a) Adding 1/9:

\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{1}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{1}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2}{3} x \rightarrow it \: is \: a \: perfect \: square \: trinomial}

b) Adding 4/9:

\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{4}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{4}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{2}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{4}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}

c) Adding 4 and 1/9:

\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9} + 4 = x^{2} + \dfrac{2}{3} x + \dfrac{37}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{37}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{\sqrt{37}}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2\sqrt{37}}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}

Hope I helped.
3 0
3 years ago
Find the amount accumulated if $50000 is invested for 20 years at a rate of 7% compunded daily?
pickupchik [31]
So to find this we need to use the compound interest formula which is A=P(1 + r/n) ^nt
P = principal amount
R = percentage rate
N = number of times it is compounded yearly
T = time

So you plug in the numbers for the formula

50,000(1 + 0.07/ 365) ^0.07*365

The answer would be $202,732.78
I hope this helps :)
7 0
3 years ago
How do we name a minor arc?
erastova [34]
A minor arc (left figure) is an arc of a circle having measure less than or equal to ( radians). SEE ALSO: Arc, Major Arc, Semicircle.
7 0
3 years ago
Which statement describes a convex lens?
SpyIntel [72]

) It bends light rays inward.

8 0
4 years ago
Read 2 more answers
8. Here is a graph of the equation 3x - 2y = 12.
Readme [11.4K]

Answer:

A,B,D

Step-by-step explanation:

By replacing the points in the current equation you can get true statements which are correspondent to answer A,B,D

7 0
1 year ago
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