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3 years ago

Which point is a reflection of M(-5, -6) across the y-axis?

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

point R

Step-by-step explanation:

reflection rule for the y-axis

p(x, y)->p'(-x, y)

therefore:

M(-5, -6)->R(5, -6)

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A council of three people is to be chosen from a group of 4 lawyers, one artist, and 3 teachers

padilas [110]

Answer: 0.2857

<u>Step-by-step explanation:</u>

At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

$\text{One teacher}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{5\ others}{7\ people}\times \dfrac{4\ others}{6\ people}=\dfrac{5}{28}=0.1786\\\\\\\text{Two teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{5\ others}{6\ people}=\dfrac{5}{56}=0.0893\\\\\\\text{Three teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{1\ teacher}{6\ people}=\dfrac{1}{56}=0.0179$

One teacher + Two teachers + Three teachers = 0.2857

4 0

3 years ago

Find all the real fourth roots of 4096

goldfiish [28.3K]

Answer:

The square root of 4096 is 64. The cube root of 4096 is 16. The fourth root of 4096 is 8 and the fifth root is 5.2780316430916.

Step-by-step explanation:

3 0

3 years ago

Each 1/2 inch on a scale model represents an actual length of 1/6 of a yard. What length on the model represents 1 yard?

ivanzaharov [21]

Answer:

The file contains the solution to the question

8 0

2 years ago

Simplify completely: 8x+4/x^3+23÷4x^2-10x-6/9-x^2

Helen [10]

Answer:

The simplified form is: $-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

Step-by-step explanation:

To simplify the expression given we, need to open the brackets, and if there is power term. Then we need to group all the like terms and then arrange in the descending order of powers of the given expression.

Now the expression that is given to us is:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2$

Here we will simplify it by grouping the like terms, as follows:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2\\=-x^2+8x-10x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{6}{9}=-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

So this is the required simplified form.

7 0

3 years ago

Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?

Luden [163]

Answer:

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

7 0

3 years ago