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3 years ago

8. What is the equation of the line that contains (2, 3) and is perpendicular to the line y = 2x + 3?

Mathematics

1 answer:

bazaltina [42]3 years ago

4 0

Hi there! :)

$\large\boxed{C.)\text{ } y = -1/2x + 4}$

Given equation:

y = 2x + 3

A perpendicular line would have a slope of the negative reciprocal, therefore:

2x --> -1/2x

Use the equation y = mx + b to plug in the given point values along with the slope to solve for the final equation:

3 = -1/2(2) + b

3 = -1 + b

3 + 1 = b

b = 4

Therefore, the final equation is:

y = -1/2x + 4

The correct answer choice is C, y = -1/2x + 4.

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scoray [572]

Answer:

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Step-by-step explanation:

2x - 6 =0

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3 years ago

Find the area of the polygon.

svetlana [45]

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3 years ago

Solve the system by the substitution method.

Ghella [55]

Answer:

A) The solution set is (6,-8).

Step-by-step explanation:

3x - y = 26

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y = 3x - 26

Now plug this into 7x + 8y = -22 to solve for x

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3 years ago

Rewrite the expression without using grouping symbols. 4(x – 2)

tangare [24]

out of these, it would be 4x - 4 * 2

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3 years ago

Select the correct answer.

alekssr [168]

Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

Corporation A: $3.2 \times 10^5 = 320000 = 320,000$ .

Corporation B: $4 \times 10^4 = 40000 = 40,000$ .

Corporation C: $4.3 \times 10^5 = 430000 = 430,000$ .

Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

More can be learned about scientific notation at brainly.com/question/16394306

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2 years ago