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3 years ago

Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution. u = Select the solution(s) of the original equation.

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

(x - 1)2 - 4(X + 1) + 2 = 0

2x - 2 - 4x - 4 + 2 = 0

(2x - 4x) - 4 = 0

-2x = 4

x = 4/-2

x = -2

Oksanka [162]3 years ago

8 0

x+1

1 + sqrt 2

1 - sqrt 2

correct on edge2020

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Amelia has a triangular kite with an area of 30 square inches and a height of 6 inches. How long is the base of the kite?

Gnesinka [82]

Area of triangle = 0.5 * base * height
30 = 0.5 * 6 * base
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3 years ago

In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD (∵Given)

∠ACB=∠CAD (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

$\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}$

Comparing first two, we get

⇒ $\frac{x}{27}=\frac{12}{x}$

⇒ $x^2=27\times 12$

⇒ $x=\sqrt324=18$

hence, the length of diagonal is 18 m

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3 years ago

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schepotkina [342]

Answer:

Step-by-step explanation:

Comment

A rational number is one that can be expressed as x/y. The first statement is false. All whole numbers are rational. They can always be expressed as x/1

Some rational numbers are not whole numbers. That's true. 4/7 is rational but not whole.

Some irrational numbers are not integers. I'm tempted to say this is true.

pi is irrational and it certainly is not an integer.

Answer

false

true

true.

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2 years ago

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Step-by-step explanation:

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