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ANEK [815]
3 years ago
6

Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.

Mathematics
1 answer:
Lena [83]3 years ago
4 0

(x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9

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Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?
Darya [45]

Answer:

27

Step-by-step explanation:

       Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      <em>g </em>= 2<em>m</em>

       The sum of their ages is 81:

                      <em>g </em>+ <em>m </em>= 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = \frac{81}{3}

<em>m </em>= 27

       If we need to solve for Gabrielle's age, we can do the following.

<em>g </em>= 2<em>m</em>

2(27)<em> </em>= <em>g</em>

54 = <em>g</em>

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

8 0
2 years ago
Read 2 more answers
Write the expression in terms of sine only sin 9x cos 9x
Usimov [2.4K]
\sin 2\alpha= 2\sin \alpha\cos\alpha\quad\Rightarrow\quad\sin 9x\cos 9x=\frac{1}{2}\sin 18x
6 0
3 years ago
in a triangle two sides of the same length the ratio of each of these sides to the third side is 5:3 if the perimeter of the tri
AveGali [126]

Answer:

Step-by-step explanation:

Perimeter of a triangle equals side 1 plus side 2 plus side 2

           P = s1 + s2 + s3                 side 1 = side 2 =  x

                                                     x/side 3 = 5 / 3

                                                     x  = (5/3) side 3

                                                     x (3/5)  = side 3

                                                 

                                                     perimeter = 65    slove for x

          65  = x + x + 3x/5

         325  = 5x + 5x + 3x

         325  = 13X

          25   = x    equal side 1 and side 2  

          side 3 = 25(3/5)  = 15

3 0
3 years ago
What are three collinear points in the figure below?
algol [13]

Answer:

B. W,V,Z

Step-by-step explanation:

Collinear points are two more points in the same plane that lie in a straight line.

From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.

The points V, Z and W lie along the same diagonal, hence they are collinear.

The point y, Z, and X also lie along the same diagonal, these are also collinear.

The correct choice is B

7 0
3 years ago
Evaluate the expression below for x = 4 6 (x +7)
Drupady [299]

Answer:

D. 66

Step-by-step explanation:

6×(4+7)

6×11

=66

6 0
3 years ago
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