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2 years ago

For each ordered pair, determine whether it is a solution to the system of equations.

Mathematics

1 answer:

Yuri [45]2 years ago

8 0

Answer:

Step-by-step explanation:

Simplifying

4x + 2y = 18

Solving

4x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

4x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

4x + 0 = 18 + -2y

4x = 18 + -2y

Divide each side by '4'.

x = 4.5 + -0.5y

Simplifying

x = 4.5 + -0.5y

////////////

Simplifying

y = -2 + 9

Combine like terms: -2 + 9 = 7

y = 7

Solving

y = 7

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 7

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How do I solve the length of AC?

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∆ABC and ∆ADE are similar triangles.

Thus ;

$\frac{AD}{AC} = \frac{DE}{BC} = \frac{AE}{AB} \\$

So :

$\frac{5}{3 + 2x} = \frac{4}{8} \\$

$\frac{5}{3 + 2x} = \frac{1}{2} \\$

Inverse both sides

$\frac{3 + 2x}{5} = \frac{2}{1} \\$

$\frac{2x + 3}{5} = 2 \\$

Multiply sides by 5

$5 \times \frac{2x + 3}{5} = 5 \times 2 \\$

$2x + 3 = 10$

Thus ;

$AC = 2x + 3 = 10$

$AC = 10$

Done...

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7 0

2 years ago

give two rational numbers whose sum is rational , difference is rational , product is rational , division is rational

Vaselesa [24]

Answer:

That's the case for all pairs of rational numbers

One example:

2 and ½

Sum = 5/2

Difference = 3/2

Product = 1

Division/Quotient = 4

4 0

3 years ago

If a number is an element of the set of real

kvasek [131]

Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

3 0

2 years ago

Which method is best using this equation 4x-2y=-2,-5x+6y=-15 and why

kipiarov [429]

I think that using the elimination method is the best, because it is the only method that I use when solving these types of equation. For example, for these two equations, you need to multiply one of the equations by a certain number so that you'd be able to find x and y. The elimination method is the method that tells you to do that. It is also the easiest method.

~Hope I helped!~

8 0

3 years ago

Integral sqrt(4+3x) dx

Alisiya [41]

Let 4 + 3x = u

then 3dx = du

or, 1/3∫u√du

= 1/3u^3/2/(3/2)

= 2/9∗(4+3x)^3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago