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3 years ago

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.

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√(5-2x) - √(2-x) = 1

Eva8 [605]

Square both sides. (5-2x) - (2-x) = 1^2. 5 - 2x - 2 + x = 1. Simplify to get 3 - x = 1. X=2

8 0

3 years ago

What is the rational number equivalent to 1.28? The 1.28 has a line above the 28

Svetach [21]

the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats) 100x = 128.28...
next: 100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99

8 0

3 years ago

An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

Gre4nikov [31]

Answer:

The length of AD is 32 feet

Step-by-step explanation:

Proportional distances

When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length

Let's call x the length of AD. Given C is the midpoint of AD, then

$\displaystyle AC=CD=\frac{x}{2}$

Given B is the midpoint of AC, then

$\displaystyle AB=BC=\frac{AC}{2}=\frac{x}{4}$

If we know BC=8 feet

$\displaystyle \frac{x}{4}=8\ feet$

$\displaystyle x=32\ feet$

The length of AD is 32 feet

4 0

3 years ago

carmela cut a cake into 12 equal-sized pieces. She ate 2/12 of the cake and her brother ate 3/12 of the cake.What fraction of th

Rzqust [24]

1/12 of the cake is left for carmela to eat

6 0

3 years ago

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PROOF: Triangle ABC is a right isosceles triangle by hypotenuse AB. M is the midpoint of AB. Select a coordinate proof to show t

Korolek [52]

The best and most correct answer among the choices provided by your question is the second choice or letter B.

 CM is perpendicular to AB because the triangles are isosceles and scalene.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

3 years ago

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