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3 years ago

What is the are of the shaded region?

Mathematics

1 answer:

Eva8 [605]3 years ago

4 0

Shaded area = Area of circle - 2(area of one triangle)

The circle has radius 5 cm, so its area is $\pi 5^2=25\pi$

The triangle has a base of 6 cm. Two of its legs coincide with the radius of the circle, which means the height of the triangle must be 5 - 1 = 4 cm. So one triangle's area would be $\dfrac12\times6\times4=12$ .

Shaded area = $25\pi-2(12)=25\pi-24$ .

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Multiply or divide as indicated <br> b^3 x b^-3

Andru [333]

The domain: $b\neq0$

Method 1.

$Use\ a^n\cdot a^m=a^{n+m}\\\\b^3\cdot b^{-3}=b^{3+(-3)}=b^{3-3}=b^0=1$

Method 2.

$Use\ a^{-n}=\dfrac{1}{a^n}\\\\b^3\cdot b^{-3}=b^3\cdot\dfrac{1}{b^3}=\dfrac{b^3}{b^3}=1$

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3 years ago

15(3x - 4y)<br> Use Distributive property

MariettaO [177]

45x -4y is the answer

5 0

2 years ago

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Urgent help needed algebra 2

blsea [12.9K]

The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.

<h3>What is a linear equation?</h3>

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is;

(x + 5) - ( 2x - 3) = 6

To solve;

(x + 5) - ( 2x - 3) = 6

Distribute the negative;

(x + 5) - 2x + 3 = 6

we need to get the like terms together;

x - 2x + 5+ 3 = 6

-x + 8 = 6

Subtract 8 from both sides, we get;

-x = -2

x = 2

Hence, the solution of the given equation is 2.

Learn more about linear equations;

brainly.com/question/10413253

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3 0

2 years ago

Factor completely.

Serga [27]

Factor the polynomial:

4u² – 20u + 25

Rewrite – 20u as – 10u – 10u, and then factor it by grouping:

= 4u² – 10u – 10u + 25

= 2u * (2u – 5) – 5 * (2u – 5)

= (2u – 5) * (2u – 5)

= (2u – 5)² <––– this is the answer.

I hope this helps. =)

5 0

3 years ago

How do you write the equation of this description: the graph of a parabola has a vertex of (2,3) and vertically stretched by 3

Mademuasel [1]

The equation of parabola is y = 3x²- 12x+ 15.

<u>Step-by-step explanation:</u>

The equation of the parabola is given as y = x².

If it has a vertex then the equation can be written as,

y = a(x-h)² + k

where (h, k ) is the vertex and a is the stretching or compressing factor.

So here the vertex is (2,3) and it is vertically stretched by 3.

So the equation is given as,

y = 3(x-2)² + 3

y = 3(x² -4x+4) + 3

= 3x² - 12x + 12 + 3

y = 3x²- 12x+ 15 is the equation of the parabola.

3 0

3 years ago