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3 years ago

If P={2,3,4} and Q={1,5} find and represent it in set builder form

Mathematics

1 answer:

True [87]3 years ago

5 0

Step-by-step explanation:

Solution,

P={2,3,4}

P={x:x ∈ N between 1 and 5}

Q={1,5}

Q={x:x ∈ factors of 5}

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Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

horsena [70]

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 2 = 3/2(x - (-1))}$

Simplify and distribute

$\textsf{y - 2 = 3/2(x + 1)}$

$\textsf{y - 2 = (3/2 * x) + (3/2 * 1)}$

$\textsf{y - 2 = 3/2x + 3/2}$

Add 2 to both sides

$\textsf{y - 2 + 2 = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 7/2}$

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

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2 years ago

Use the figure to the right to find the value of PT. T is the midpoint of PQ. PT = 7x + 2 and TQ = 9x - 6 PT = = (Simplify your

Llana [10]

Answer:

Step-by-step explanation:

PT = TQ

PT = 7x + 2

TQ = 9x - 6

7x + 2 = 9x - 6

9x - 6 = 7x + 2

9x - 7x = 2 + 6

2x = 8

x = 8 / 2

x = 4

Substitute x = 4 in PT,

PT = 7x + 2

= 7 ( 4 ) + 2

= 28 + 2

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3 years ago

If AK= 14, EK=17, BK= 7 , What is the length of DK? 12.7 8.5 7.0 3.5

Elden [556K]

To get the value of DK we use proportionality:
AK/EK=BK/KD
thus plugging the values we get:
14/17=7/KD
getting the reciprocal of getting both sides we have:

17/14=KD/7
thus
KD=17/14×7
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3 years ago

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adelina 88 [10]

Answer:

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Step-by-step explanation:

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Answer:

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If P={2,3,4} and Q={1,5} find and represent it in set builder form​

If P={2,3,4} and Q={1,5} find and represent it in set builder form