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3 years ago

What is the value of x in the solution to the following system of equations?

1 answer:

3 0

The system of equations is
x - 2y = 2 (1)
3x + y = 6 (2)

From (1), obtain
x = 2y + 2 (3)

Substitute (3) into (2).
3(2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
From (3), obtain
x = 2*0 + 2 = 2

Answer: (2, 0) or x=2, y=0

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Prove that :( 1 + 1/<img src="https://tex.z-dn.net/?f=tan%5E%7B2%7DA" id="TexFormula1" title="tan^{2}A" alt="tan^{2}A" align="ab

Aliun [14]

Answer:

See explanation

Step-by-step explanation:

Simplify left and right parts separately.

$\left(1+\dfrac{1}{\tan^2A}\right)\left(1+\dfrac{1}{\cot ^2A}\right)\\ \\=\left(1+\dfrac{1}{\frac{\sin^2A}{\cos^2A}}\right)\left(1+\dfrac{1}{\frac{\cos^2A}{\sin^2A}}\right)\\ \\=\left(1+\dfrac{\cos^2A}{\sin^2A}\right)\left(1+\dfrac{\sin^2A}{\cos^2A}\right)\\ \\=\dfrac{\sin^2A+\cos^2A}{\sin^2A}\cdot \dfrac{\cos^2A+\sin^A}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A}\cdot \dfrac{1}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A\cos^2A}$

<u>Right part:</u>

$\dfrac{1}{\sin^2A-\sin^4A}\\ \\=\dfrac{1}{\sin^2A(1-\sin^2A)}\\ \\=\dfrac{1}{\sin^2A\cos^2A}$

Since simplified left and right parts are the same, then the equality is true.

3 0

3 years ago

A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 memb

GrogVix [38]

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say $t_{1}$ , for first program can be written in equation form as,

$t_{1} =35+5c$ , here c is the no. of classes.

Similarly, the total cost say $t_{2}$ , for second program can be written in equation form as,

$t_{2} =10c$ .

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

$t_{1} =t_{2}$

$35+5c=10c\\10c-5c=35\\5c=35\\c=7$

Hence for 7 of classes the programs cost the same.

For more details follow the link:

brainly.com/question/4042361

3 0

2 years ago

Read 2 more answers

The table gives the boiling point of water at different altitudes.

stich3 [128]

Slope = raise / run

(211.1 - 212.0) / (0.5-0) = - 1.8

(210.2 - 211.1) / (1.0-0.5) = - 1.8

(208.4 - 210.2) / (2.0 - 1.0) = - 1.8

You can check, the other points. The slope is constant because the function is a linear equation,

Answer: - 1.8

4 0

3 years ago

what is the equation subtracting 7 from the product of 4 and a number results in the number added to 29

vitfil [10]

That would be:-

4x - 7 = x + 29

the solution:-

3x = 29 + 7

3x = 36

x = 12

7 0

3 years ago