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vodomira [7]
1 year ago
9

Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.7 repeating

Mathematics
1 answer:
valentinak56 [21]1 year ago
8 0

Answer:

\frac{7}{9\\}

Step-by-step explanation:

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Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
Brut [27]
Define unit vectors along the x-axis and the y-axis as \hat{i} , \, \hat{j} respectively.

Then the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In component form, the vector PQ is (-8,5).

The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434

Answer:
The vector PQ is (-8, 5) and its magnitude is √89  (or 9.434).
4 0
3 years ago
Read 2 more answers
The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways
denis-greek [22]

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B

Hope that helps!

8 0
2 years ago
Multiply (4+I)(1-5i)
Svetllana [295]
The rule to remember for this problem is: i^2 = -1
(4 + i)(1 - 5i)
4 - 20i + i - 5i^2
4 - 19i + 5
9 - 19i
6 0
3 years ago
Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
Mashutka [201]

1. Consider the transformation that maps the graph of the function y=(x+2)^2 into the graph of the function y=x^2. This transmormation has a rule:

(x,y)→(x+2,y)

that is translation 2 units to the right.

2. Consider the transformation that maps the graph of the function y=x^2 into the graph of the function y=x^2+3. This transformation has a rule:

(x,y)→(x,y+3)

that is translation 3 units up.

Answer: correct choice is C.

7 0
3 years ago
Read 2 more answers
Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?
pishuonlain [190]

we have

y=2x^{2} -8x+9


Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-9=2x^{2} -8x


Factor the leading coefficient

y-9=2(x^{2} -4x)


Complete the square. Remember to balance the equation by adding the same constants to each side

y-9+8=2(x^{2} -4x+4)

y-1=2(x^{2} -4x+4)


Rewrite as perfect squares

y-1=2(x-2)^{2}

y=2(x-2)^{2} +1-----> equation in vertex form


therefore


the answer is the option C

y=2(x-2)^{2} +1


3 0
2 years ago
Read 2 more answers
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