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2 years ago

Explain how you find ordered-pair solutions of the equation 3x – 5y = 15, and then find two such solutions.'

1 answer:

5 0

The constant on the right is divisible by the coefficients on the left, so two solutions are
(x, y) = (5, 0) or (0, -3)

The slope of the line is 3/5, so increaing y by 3 and x by 5 will result in another solution. One general parametric solution is then
x = 5n
y = 3n-3
_____
Integer values of n will result in integer solutions. Any value of n will yield numbers that satisfy the equation.

In general, the extended Euclidean algorithm can be used to find integer solutions. Then adding multiples of some number n to y and x in the ratio of the slope of the line will yield other solutions.

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Identify the type of function represented by f(x) 4 2^x

Romashka [77]

B bc the coefficient is greater than 1. if, for example it was 0.5 it would be a

5 0

2 years ago

Read 2 more answers

Carson has a package to mail. The package is 87 cm long. The shipping company only mails packages that are up to 35 in. long. Ca

m_a_m_a [10]

Based on the conversion done, the figure gotten is larger. Therefore, Carson cannot mail the package

From the information given, the package is 87 cm long.

Also, the shipping company only mails packages that are up to 35 in. long. Then, we convert inches to cm. This will be:

= 35 × 2.54 = 88.9 cm.

Therefore, he can't mail the package.

Learn more about conversion on:

brainly.com/question/25828084

7 0

2 years ago

One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po

lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

$f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y$

When x = 8, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0$

When x = 7, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}$

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

$tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}$

Where;

h = The height at which the laser meets the wall

$h = \dfrac{9 \times 7}{8} =7.875$

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

$y = \dfrac{9 \times 7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet$

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0

2 years ago

Simplify each expression. Write your answer without negative exponents.

alukav5142 [94]

16)

s^1/4 * s^1/4 * s^1/4 * s^1/4 = s^(1/4 + 1/4+1/4+1/4) = s^4/4 = s

Answer is s

15) Answer is 1. (because any number to the 0 exponent is equal 1 , except 0)

17)

= (t^3/6)^2 = t^6/6 = t

Answer is t

5 0

2 years ago

Read the following statement: If the sum of two angles is 90°, then the angles are complementary. The hypothesis of the statemen

xeze [42]

Hey there!

It seems your problem is simply trying to rewrite the sentence.

Let's rewrite our sentence, from the phrase after the comma to the phrase before the comma.
Essentially, we are just flipping the sentence structure.

It should be this:
The two angles are complementary if the sum of the two angles are 90 degrees.

Let's take a good look at our answers.

A.) There are two angles.
While this is a true statement, it's a little too vague to understand. We can eliminate this answer choice.

B.) The sum of two angles is 90 degrees.
This is also a true statement, but it doesn't describe what type of angles sum to 90 degrees, so we can eliminate this as well.

C.) The angles are complementary.
This is similar to answer choice A. It's a little too vague for specific understanding. We can eliminate this answer choice.

D.) Angles are complementary if their sum is 90 degrees.
This is an accurate statement, and provides details to support it's claim, also rewriting the original sentences into one properly. This answer choice is correct.

Your answer is D.)

I hope this helps!

8 0

2 years ago