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k0ka [10]
4 years ago
14

Whats 2x+5=7 I really need help quick!

Mathematics
1 answer:
nika2105 [10]4 years ago
4 0
X=1
2x+5=7
-5 -5
2x=2
/2 /2
x=1
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Find the domain of y=2/3x-1 if the range is {-3, -1, 7, 17}.
White raven [17]
<h3>Answer: The domain is {-3, 0, 12, 27}</h3>

=========================================

Explanation:

First solve for x to get

y = (2/3)x - 1

y+1 = (2/3)x

(2/3)x = y+1

x = (3/2)*(y+1)

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Now plug the values given into y. Do so one at a time. Lets plug in y = -3

x = (3/2)*(y+1)

x = (3/2)*(-3+1)

x = 1.5*(-2)

x = -3

So the domain value x = -3 corresponds to the range value y = -3.

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Repeat for y = -1

x = (3/2)*(y+1)

x = (3/2)*(-1+1)

x = 1.5*0

x = 0

The domain value x = 0 corresponds to the range value y = -1

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Repeat for y = 7

x = (3/2)*(y+1)

x = (3/2)*(7+1)

x = 1.5*8

x = 12

The domain value x = 12 corresponds to the range value y = 7

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Repeat for y = 17

x = (3/2)*(y+1)

x = (3/2)*(17+1)

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x = 27

The domain value x = 27 corresponds to the range value y = 17

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I need help! (HAPPY MLK DAY!!!)
olga2289 [7]

The slope and length of the given sides of the quadrilateral can be

found by using the coordinates of the vertices.

Correct responses:

  • Slope \ of \ \overline{IJ} = \underline{-\dfrac{7}{6} },      Length of \overline{IJ} = \underline{\sqrt{85} }
  • Slope \ of \ \overline{JK} = \underline {-\dfrac{2}{9}},     Length of \overline{JK} = \underline{\sqrt{85} }
  • Slope \ of \ \overline{KL} = \underline{-\dfrac{7}{6} },      Length of \overline{KL} = \underline{\sqrt{85}}
  • Slope \ of \  \overline{LI} = \underline{ -\dfrac{2}{9} },        Length of \overline{LI} = \underline{\sqrt{85} }

<h3>Methods used to find the slope and length of a line</h3>

The given coordinates of the vertices are;

K(-7, 0), J(2, -2), I(8, -9), L(-1, -7)

  • Slope = \mathbf{\dfrac{y_2 - y_1}{x_2 - x_1}}

  • Length \ of \ line =  \mathbf{ \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}

Therefore;

Slope \ of \ \mathbf{\overline{IJ}} = \dfrac{-2 - (-9)}{2 - 8} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}

Length \ of \ \mathbf{\overline{IJ}} = \sqrt{(2 - 8)^2 + (-2 - (-9))^2} = \underline{\sqrt{85}}

Slope \  of \ \mathbf{\overline{JK}} = \dfrac{0 - (-2)}{-7 - 2}  = \dfrac{2}{-9} = \underline{-\dfrac{2}{9}}

Length \ of \ \mathbf{\overline{JK}} = \sqrt{(-7 - 2)^2 + (0 - (-2))^2}  = \underline{ \sqrt{85}}

Slope \ of \ \mathbf{\overline{KL}} = \dfrac{0 - (-7)}{-7 - (-1)} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}

Length  \ of \ \mathbf{\overline{KL} }= \sqrt{(-7 - (-1))^2 + (0 - (-7))^2} =\underline{ \sqrt{85}}

Slope \ of \ \mathbf{\overline{LI}} = \dfrac{(-9 - (-7))}{(8 - (-1))} = \dfrac{-2}{9} = \underline{-\dfrac{2}{9}}

Length \ of \ \mathbf{\overline{LI}} = \sqrt{(8 - (-1))^2 + (-9 - (-7))^2} = \underline{\sqrt{85}}

Learn more about finding the slope and length of a line here:

brainly.com/question/11612395

brainly.com/question/14039630

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3 years ago
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