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3 years ago

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

9514 1404 393

Answer:

(b) x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

x +2y = 8

We can check the other choices:

x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

Getting there from scratch

The standard form equation for a line can be written from ...

(y2 -y1)x -(x2 -x1)y = constant

(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

-4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

x +2y = 8

Virty [35]3 years ago

5 0

Answer:

B on edge

Step-by-step explanation:

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11111nata11111 [884]

$sin\alpha = - 0.8$

Step-by-step explanation:

We have , $cos\alpha = \frac{3}{5}$ , where $\alpha$ is located in IV quadrant! Let's find out value of $sin\alpha$ :

$sin\alpha = \sqrt{1-(cos\alpha )^2$

⇒ $sin\alpha = \sqrt{1-(cos\alpha )^2$

⇒ $sin\alpha = \sqrt{1-(\frac{3}{5} )^2$

⇒ $sin\alpha = \sqrt{1-(\frac{9}{25} )$

⇒ $sin\alpha = \sqrt{(\frac{25-9}{25} )$

⇒ $sin\alpha = \sqrt{(\frac{16}{25} )$

⇒ $sin\alpha = \pm {(\frac{4}{5} )$

Value of $sin\alpha$ is dependent on which quadrant it is . Since, in question it's given that $\alpha$ is located in IV quadrant , So $sin\alpha$ is negative i.e.

⇒ $sin\alpha = - {(\frac{4}{5} )$

⇒ $sin\alpha = - 0.8$

Therefore, $sin\alpha = - 0.8$ .

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3 years ago

Read 2 more answers

Multiplying Polynomials Multiple Choice Need to know what goes in blanks and final answer

maksim [4K]

Answer:

6x² - 19x + 10

Step-by-step explanation:

Given

(3x - 2)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x - 5) - 2(2x - 5) ← distribute both parenthesis

= 6x² - 15x - 4x + 10 ← collect like terms

= 6x² - 19x + 10

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bearhunter [10]

The answer to this question is: 17

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CaHeK987 [17]

The answer would be B. 0. If you put 3,800 into a calculator and divide by 8 the answer should be 475

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Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars

Nataliya [291]

Think of it this way. Ignore for now that $100 was stolen.

The purchase of the $70 item for $100 cash with $30 change is a perfectly fair purchase. The store received $100 cash, and the store gave $70 worth of merchandise plus $30 cash.There was no loss to the store there.

The fact that $100 in cash was stolen earlier from cash register means the loss is $100. The legitimate transaction does not affect the loss.

If you have a hard time understanding the loss is $100, then think of it this way.
Reverse the order of the two happenings.

A person walked into a store and bought a $70 item with a $100 bill. He received $30 change. So far, there is no loss to the store. Everything is legit.

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Here we see clearly that the loss is exactly $100. It is simply the $100 stolen from the cash register.

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