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horsena [70]
4 years ago
9

Complete the steps for solving 7 = -2x2+10x

Mathematics
2 answers:
V125BC [204]4 years ago
4 0
Step 1: move all terms to one side

7 + 2x^2 - 10x = 0

Step 2: Use the quadratic formula

X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4

Step 3: Simplify solutions

X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2
larisa [96]4 years ago
3 0

Answer:

Factor -2 out of the variable

Add 24/4 inside the parentheses and subtract 25/2

on the left side of the equation

White the perfect square trinomial as a binomial squared

Divide both sides by -2

Use the square root property of equality

Add 5/2 to both sides

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Look at the picture.

ZY = 5+3=8

For XY and ZX use the Pythagorean theorem.

XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=\sqrt{25}\\\\XY=5

ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=\sqrt{41}

The perimetero fo XYZ:

P_{\triangle XYZ}=8+5+\sqrt{41}=\boxed{13+\sqrt{41}}

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I need help with number 1-4 I don’t understand..
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Answer:

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  2. 131°, obtuse
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Step-by-step explanation:

You are exected to know the relationships of angles created where a transversal crosses parallel lines.

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The appearance of the diagram often gives you a clue.

You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.

1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.

2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.

3. Opposite interior angles are equal, so w will be 53°. It is acute.

4. Corresponding angles are equal, so x will be 124°. It is obtuse.

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