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2 years ago

Two lengths of a triangle measure 6 feet and 10 feet what can the length of the third side

1 answer:

7 0

Answer:it could possibly equal 2 $\sqrt{x}$ 34 or 8Step-by-step explanation: by the pythagorean thoerm 6 $x^{2}$ +10 $x^{2}$ = 2 $\sqrt{x}[tex]34 or 6[tex]\sqrt{x}$ +b $x^{2}$ =10 $x^{2}$

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

How many 1/3 pounds serving in 4 2/3 pound of cheese

Marysya12 [62]

Change 4 and 2/3 to an improper fraction.
4 + 2/3 = 14/3
There are 14 of the 1/3 lb serving in 4 and 2/3 pounds of cheese.

3 0

2 years ago

The point (5,-1) is a solution of the equation:y=2x-11 true or false

irakobra [83]

Answer:

True

Step-by-step explanation:

6 0

3 years ago

Simplify √ 144x2 A. 8x2√ 6 B. 2x2√ 2 C. 8√ 6x D. 12x

Stella [2.4K]

√(144*x²) = (√144)*(√x²) = 12x

Answer is D.12x.

3 0

2 years ago

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The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians. What is t

monitta

Answer:

Given: The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians.

What is the approximate area of the entire circle?

113 square units

What is the approximate area of the entire sector created by central angle ACB?

28 square units

What is the approximate area of the shaded region only?

22 square units

6 0

2 years ago

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