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Zolol [24]
2 years ago
10

Describe and correct the error in writing an equation of the line shown

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

Answer:

y = - \frac{3}{5} x + 4

Step-by-step explanation:

the student used the y- coordinates of the points in the wrong order.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = \frac{1-4}{5-0} = \frac{-3}{5} = - \frac{3}{5}

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - \frac{3}{5} x + 4 ← equation of line

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❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️
harkovskaia [24]

Answer:

3

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is 1:\sqrt{3}. Therefore:

x=\sqrt{3} \cdot \sqrt{3}= \\\\\sqrt{3}^2= \\\\3

Hope this helps!

6 0
3 years ago
Read 2 more answers
What the solution 2(4+2x)≥5x+5
olga nikolaevna [1]

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x) ≥ 5x+5      (by PEDMAS, expand parentheses first)

4(2) + 2x(2) ≥ 5x + 5

8 + 4x ≥ 5x + 5   (subtract 8 from each side)

4x ≥ 5x + 5  - 8

4x ≥ 5x - 3    (subtract 5x from both sides)

4x -5x ≥ - 3

-x  ≥ - 3  (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)

x ≤ 3

4 0
3 years ago
Read 2 more answers
How do I do this? Please explain in detail.
umka2103 [35]
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
8 0
4 years ago
Read 2 more answers
So the question on the pic
gtnhenbr [62]

Explanation + answers

Because there are lengths going from 0 to 1, the lines must mean either decimals or fractions (we'll use fractions for this.)

1. There are twelve lines from 0 and 1, which we can use as the denominator for our fraction. This means the length of each line is 1/12.

2. In order to find where K's point is at, we simply need to count until we get to it. After counting, I see that K is on point 8/12, which we can simplify to get a smaller number. If we simplify once, we get 4/6, which we can again simplify to get 2/3. This gives us the answer K is on point 8/12 or 2/3.

4 0
3 years ago
Which statement best explains the value of 16 − (−3)?
amm1812

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

8 0
3 years ago
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