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lesya692 [45]
2 years ago
8

Using these coordinates, (3, 1/4) and (-2, -1) write an equation in Point-Slope, Slope-Intercept, and Standard Form.

Mathematics
1 answer:
artcher [175]2 years ago
6 0
Answer here\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } =   \frac{-1 -   \frac{1}{4}}{-2 -  3} =  \frac{ - \frac{5}{4}}{-5}= \frac{ - \frac{5}{4}\cdot4}{-5\cdot4} =\frac{-5}{ -20}  =\boxed{ \bf{  \frac{1}{4}}}

The slope is 1/4.

The equation in point-slope form is:
y - (-1) = 1/4(x - (-2))
\boxed{\bf{y + 1 = \frac{1}{4}(x+2)}}

In slope-intercept form, it is:
y + 1 = 1/4(x+2)
\boxed{\bf{y = \frac{1}{4}x - \frac{1}{2}}}

In Standard form it is:
y = 1/4x - 1/2
1/2 = 1/4x - y
Multiply both sides by 4
2 = x - 4y
\boxed{\bf{x-4y=2}}

I hope that helps. :)

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Answer:

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Step-by-step explanation:

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A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this proble
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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Box \ average =\frac{1}{6}  \\\\SD = \frac{1}{6}  \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6}  \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\

The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.

The percentage of aces is expected to be around 16.67% , or 1.2%.

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I’m stuck can some one help me
abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

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The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

We have x_1=2, y_1=-7, x_2=-10,y_2=8

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

We have x_1=2, y_1=-10, x_2=3,y_2=10

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

x^2-3x-28

We will break the middle term and find factors

x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

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We will break the middle term and find factors

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So, the factors are (x+4)(x+2)

Option A is correct.

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Solution:

5n(2n3+n2+8)+n(4-n).

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= 10n4 + 5n3 + 44n – n2.

= 10n4 + 5n3 – n2 + 44n.

Answer: 10n4 + 5n3 – n2 + 44n

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