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Alex Ar [27]
3 years ago
9

Solve each of the following quadratic equations.

Mathematics
2 answers:
defon3 years ago
8 0
A. x = 5
b. x = 3.38…
il63 [147K]3 years ago
4 0

Answer:

a. \:  \: x = 3 \:  \: and \: 5

<h3>b. \:  \:  x =  \frac{5± \sqrt{73} }{4}</h3>

Step-by-step explanation:

a. \:  \:  \: x^2-8x+ 15 = 0 \\  {x}^{2}  - 5x - 3x + 15 = 0 \\ x(x  - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5

b. \:  \: 2x^2 - 5x - 6 =0 \\ x =  \frac{5± \sqrt{73} }{4}

<h3>Hope it is helpful....</h3>
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

let's solve for x ~

  • 37x =  9x + 4

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  • 28x = 4

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2 years ago
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tia_tia [17]

Answer:

10 Square Inches

Step-by-step explanation:

<u>Trapezoid</u>

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$

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Area of the Trapezoid=110 Square Inches

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Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

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olga2289 [7]

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

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Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

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Step-by-step explanation:

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The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

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π = 3.14

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The formula for the area of the circle = πr²

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π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

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