Using the square root property: How would I solve this equation- (2x-3) Squared =18

Answers

Answer 1

Answer: $(2x-3)^2=18\ \ \ \ | make\ \sqrt{}\n\n|2x-3|=√(18)\n\n2x-3=√(18)\ \ \ or\ \ \ -2x+3=√(18)\n\n2x=√(18)+3\ \ \ \ or\ \ \ \ -2x=√(18)-3\n\nx=(√(9*2)+3)/(2)\ \ \ or\ \ \ \ x=(√(9*2)-3)/(-2)\n\nx=(3√(2)+3)/(2)\ \ \ or\ \ \ \ x=(-3√(2)+3)/(2)$

Answer 2

Answer: $(2x-3)^2=18\n2x-3=√(18) \vee 2x-3=-√(18)\n2x=3+3√(2) \vee 2x=3-3√(2)\nx=(3+3√(2))/(2) \vee x=(3-3√(2))/(2)\n$

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The amount of postage placed on a first class letter depends on the weight of the letter .

Answers

amount is directly proportional to weight
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choose the equation below that represents the line that passes through the point (−2, −1) and has a slope of 5. (5 points) y − 1 = 5(x − 2) y 1 = 5(x 2) y 2 = 5(x 1) y − 2 = 5(x − 1)

Answers

Equation of a line;
y=mx+c
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If b^2-4ac=0 determine the need or real solutions of the equation ax^2+bx+c=0

Answers

If B² - 4 A C = 0 ,

then

Ax² + Bx + C = 0 has two real roots, and they are equal.

In other words, Ax² + Bx + C is a perfect square.

Which value is equivalent to 15.2% written as a decimal

Answers

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What is the solution of the system of equations c+3d=8 and c=4d-6?
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Answers

$\left\{\begin{array}{ccc}c+3d=8\nc=4d-6\end{array}\right\n\nsubstitute:\n\n(4d-6)+3d=8\n4d+3d-6=8\ \ \ \ /+6\n7d=14\ \ \ \ /:7\nd=2\n\nc=4\cdot2-6=8-6=2\n\n\left\{\begin{array}{ccc}c=2\nd=2\end{array}\right$

The diagonal of a rectangular big screen tv screen measures 152cm. The length measures 132cm. What is the height of the screen?

Answers

Hi!
We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;
height = $√(5680) = 75.36cm;$

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