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3 years ago

Solve the system of equations by using substitution.

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

6 0

Answer:

d. (8,-7)

Step-by-step explanation:

First solve for one of the variables, I chose r so there were no fractions. Then plug r into the other equation and solve for s. then plug your solved s value into the equation in which you solved for r to obtain the value of r. (r,s) = (8,-7)

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10 5/12- 12 7/12 = in simplest form

Alika [10]

Answer:

-13/6 or (in mixed number form) -2 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=10+512−12−712

Solving the whole number parts

10−12=−2

Solving the fraction parts

512−712=−212

Reducing the fraction part, 2/12,

−212=−16

Combining the whole and fraction parts

−2−16=−216

Another way to do it:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

125/12−151/12

Applying the fractions formula for subtraction,

=(125×12)−(151×12) / 12×12

=1500 − 1812/ 144

=−312/144

Simplifying -312/144, the answer is

=−2 1/6

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3 years ago

Question 2

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Answer:

Step-by-step explanation:

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3 years ago

Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in

Schach [20]

Answer:

1.11

Step-by-step explanation:

edgenuity

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4 years ago

In how many ways 4 books can be chosen from 8 different books and be arranged in 4 spaces on a bookshelf?

Trava [24]

Answer:

hope this helps

Step-by-step explanation:

3*2 * 1 = 24 ways . It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.

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3 years ago

Determine the graph of the polar equation r =6/2-2cos theta<br> (picture provided)

vredina [299]

Answer:

Choice D is correct

Step-by-step explanation:

The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;

$r=\frac{3}{1-cos(theta)}$

The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.

The value of the directrix is determined as;

d = k/e = 3/1 = 3

The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;

x = -3

Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria

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3 years ago