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Crank
3 years ago
5

How do I solve this?

Mathematics
1 answer:
algol [13]3 years ago
4 0
I think the answer is (C)
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The vector ab has a magnitude of 20 units and is parallel to the<br> vector 4i + 3j.<br> find ab.
stepladder [879]

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j. Hence, The vector AB is 16i + 12j.

<h3>How to find the vector?</h3>

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given;

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j.

magnitude

\sqrt{4^2 + 3^2} \\\\\sqrt{16 + 9} \\\\= 5

Unit vector in direction of resultant = (4i + 3j) / 5

Vector of magnitude 20 unit in direction of the resultant

= 20  x (4i + 3j) / 5

= 4 x (4i + 3j)

= 16i + 12j

Hence, The vector AB is 16i + 12j.

Learn more about vectors;

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2 years ago
What are the solutions to the following system of equations?
Cloud [144]
<span>(2, 4) and (−8, 84)
see the graph</span>

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4 years ago
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f (x)
telo118 [61]

The decay factor of the exponential function given in the table is of \frac{2}{3}.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:

1 - r = \frac{1}{3}

r = 1 - \frac{1}{3}

r = \frac{2}{3}

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6 0
2 years ago
What is fact family for 3
kondor19780726 [428]
8 and 24 let me know if this helps
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3 years ago
Combine like terms to simplify 12x+4y-3x+2-8y²+3²
Alex Ar [27]

Answer:

−8y2+9x+4y+11

Step-by-step explanation:

7 0
3 years ago
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