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4 years ago

How can you prove a figure is a parallelogram

1 answer:

4 0

If both pairs of opposite sides of a quadrilateral are congruent or parallel, then it's a parallelogram. For example, a square is a parallelogram because none of the lines will intersect.

I hope this helps:)

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Evaluate the following expression when x = 6 and y = 2:

Liula [17]

Answer:

11/2

Step-by-step explanation:

$\frac{ {x}^{2} + {y}^{3} }{2 + x} \\$

when,

$x = 6 \\ y = 2$

Now substitute the value we get,

$\frac{ {6}^{2} + {2}^{3} }{2 + 6} \\ \\ = \frac{36 + 8}{8} \\ \\ = \frac{44}{8} \\ \\ = \frac{11}{2}$

5 0

3 years ago

Prove that for any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Pachacha [2.7K]

For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Step-by-step explanation:

In order to prove the statement we can take any value of x and then solve the expression to see if it equal to -16 or not.

So,

Taking x = 2

$=(x-3)(x+7)-(x+5)(x-1)\\=(2-3)(2+7)-(2+5)(2-1)\\=(-1)(9)-(7)(1)\\=-9-7=-16$

Taking x = 5

$=(x-3)(x+7)-(x+5)(x-1)\\=(5-3)(5+7)-(5+5)(5-1)\\=(2)(12)-(10)(4)\\=24-40\\=-16$

Taking x= 10

$=(x-3)(x+7)-(x+5)(x-1)\\=(10-3)(10+7)-(10+5)(10-1)\\=(7)(17)-(15)(9)\\=119-135=-16$

Hence,

For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

6 0

4 years ago

Find the surface area

Nuetrik [128]

Answer:

of what? put pic again can't see it.

Step-by-step explanation:

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3 years ago

What is the value of 8.3 X 10 ? A. eight hundred thousand, thirty B. eighty-three thousand C. eight thousand, three hundred D. e

ycow [4]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the slope of the line?

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂

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3 years ago