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Ierofanga [76]
3 years ago
6

Which inequality is equivalent to 7x-2y>8?

Mathematics
2 answers:
Crank3 years ago
8 0
7x-2y>8\\
-2y>-7x+8\\
y2y+8\\
x>\frac{2}{7}y+\frac{8}{7}
Vanyuwa [196]3 years ago
7 0
7x-2y > 8\\\\-2y > -7x+8\ \ \ /:(-2) < 0\ then\ change\ " > "\ to\ " < "\\\\y < 3.5x-4

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Question 5 (12 points)
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Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

    let (2, 1) = (x_2, y_2)

 \implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}

b)  let (-1, 3) = (x_1,y_1)

    let (4, 1) = (x_2, y_2)

\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}

c)  let (-1, 3) = (x_1,y_1)

    let (3, 3) = (x_2, y_2)

\implies \sqrt{(3+1)^2+(3-3)^2} =4

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Answer:

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Step-by-step explanation:

Half of 40 is 20 right? Then one number has to be 2 less, while the other number is 2 more. So there is a difference of 4.

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