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3 years ago

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Can anyone explain how to do this?

2 answers:

Oliga [24]3 years ago

6 0

Answer:

85 units²

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

The hypotenuse is the side opposite the right angle ( third side ) , then

area = 35 + 50 = 85 units²

Aliun [14]3 years ago

5 0

<h3>Answer: 85 units ^2</h3>

Step-by-step explanation:

Using the equation $a^{2} + b^{2} = c^{2}$

so $a^{2} = 35$ and $b^{2} =50$

$a^{2} + b^{2} = 85^{2}$

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The endpoints of a diameter of a circle are (6,2) and (−2,5) . What is the standard form of the equation of this circle?

Paul [167]

Answer:

The standard form of the given circle is

$(x-2)^2+(y-\frac{7}{2})^2=73$

Step-by-step explanation:

Given that the end points of a diameter of a circle are (6,2) and (-2,5);

Now to find the standard form of the equation of this circle:

The center is (h,k) of the circle is the midpoint of the given diameter

midpoint formula is $M=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (6,2) and (-2,5) respectively.

$M=(\frac{6-2}{2},\frac{2+5}{2})$

$M=(\frac{4}{2},\frac{7}{2})$

$M=(2,\frac{7}{2})$

Therefore the center (h,k) is $(2,\frac{7}{2})$

now to find the radius:

The diameter is the distance between the given points (6,2) and (-2,5)

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$=\sqrt{(-2-6)^2+(5-2)^2}$

$=\sqrt{(-8)^2+(3)^2}$

$=\sqrt{64+9}$

$=\sqrt{73}$

Therefore the radius is $\sqrt{73}$

i.e., $r=\sqrt{73}$

Therefore the standard form of the circle is

$(x-h)^2+(y-k)^2=r^2$

Now substituting the center and radiuswe get

$(x-2)^2+(y-\frac{7}{2})^2=(\sqrt{73})^2$

$(x-2)^2+(y-\frac{7}{2})^2=73$

Therefore the standard form of the given circle is

$(x-2)^2+(y-\frac{7}{2})^2=73$

5 0

3 years ago

Please solve all with explanation

garri49 [273]

Answer:

1. $\frac{x^2}{y^8}$

2 a) $\frac{-49}{2}$

b) 0

3. x = 10

Step-by-step explanation:

1.

$(\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}$

2. a)

$2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}$

b)

$-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0$

3.

$\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10$

7 0

3 years ago

A town has a population of 15000 and grows at 4% every year. To the nearest year, how long will it be until the population will

3241004551 [841]

8197 years It’s exponential growth

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3 years ago

The measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Anestetic [448]

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

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3 years ago

Which inequality pairs with ys-2x-1 to complete the

Ghella [55]

Answer:

the answer is the last option, y > 2x-2

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