1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksenya-84 [330]
3 years ago
8

Can anyone pls help me in this pls

Mathematics
1 answer:
love history [14]3 years ago
5 0

(x + y)² and z² + 4(1/2 xy) both represent the area of the outer square and are equal.

Step-by-step explanation:

  • Step 1: The below reasons explain why the expression is a true equation.

1. The expression (x + y)² finds the area of the outer square by squaring its side length.

[In the figure, side length of the outer square = x + y and area of a square = (side length)²]

2. The expression z² + 4(1/2 xy) finds the area of the outer square by adding the area of the inner square and the four triangles.

[In the figure the length of the inner square is z, the triangles have a base x and height y and area of a triangle = 1/2 base × height]

⇒ So the left hand side and right hand side of the expression is equal.

You might be interested in
Where is Do in G Major in the Treble Clef
deff fn [24]

Answer:

what?try fixing this question a little bit then maybe i can help.

Step-by-step explanation:

5 0
3 years ago
At a sale this week, a suit is being sold for $244.20. This is 33% of the original price. What is the original price
Alecsey [184]

Answer:

$740

Step-by-step explanation:

244.20= x(.33)

244.2/.33= x(.33)/.33

740=x

4 0
3 years ago
The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
Find the area of a regular hexagon if given a side length of 1.9 to the square root of 3.
dalvyx [7]

Answer:

28.137 sq. units.

Step-by-step explanation:

Area of a regular hexagon is

A=\dfrac{3\sqrt{3}}{2}a^2

where, a is the side length.

It is given that the side length of the regular hexagon is 1.9\sqrt{3}.

Substitute a=1.9\sqrt{3} in the above formula.

A=\dfrac{3\sqrt{3}}{2}(1.9\sqrt{3})^2

A=(1.5\sqrt{3})(10.83)

A=16.245\sqrt{3}

A=28.137

Therefore, the area of regular hexagon is 28.137 sq. units.

6 0
3 years ago
Two angles are complementary. One angle is x and the other is 50 more than the first angle.
iren [92.7K]
X=40
Complementary=90 degrees
50+x=90
-50 -50
X=40
6 0
3 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE,
    11·2 answers
  • For the simple harmonic motion equation d=8 sin(4 pi t) , what is the period? If necessary, use the slash (/) to represent a fra
    10·2 answers
  • Five plus negative nineteen
    7·2 answers
  • 1). 10 = 4x +x
    15·1 answer
  • What is the answer to he equation to of x+3 x 4x-7
    15·1 answer
  • Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can che
    8·1 answer
  • Help please last question, please I need the naswer
    11·1 answer
  • 7 watermelons cost $8.96. How many full watermelons can you buy for $20. Your answer must be a whole number because you cannot b
    9·1 answer
  • Use the graph to find out over what interval f(x) is less than or equal to 0. PLEASE HELP ASAP!!!
    8·1 answer
  • Who wants to be my friend? :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!