In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?

What are the solutions of the equation x4 – 9x2 + 8 = 0? Use u substitution to solve.

rosijanka [135]

Answer:

Option (2)

Step-by-step explanation:

Given equation is,

x⁴- 9x² + 8 = 0

Let x² = t

By substituting the value of x²= t in the equation,

t² - 9t + 8 = 0

t² - 8t - t + 8 = 0

t(t - 8) - 1(t - 8) = 0

(t - 1)(t - 8) = 0

(t - 1) = 0 ⇒ t = 1

(t - 8) = 0 ⇒ t = 8

Since, t = x²

x² = 1 ⇒ x = ±1

x² = 8 ⇒ x = ±2√2

Therefore, Option (2) will be the correct option.

6 0

3 years ago

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• Find the area of the shape shown below.

posledela

Answer:

my answer is 32 I add all the numbers but I did not divide it by 3

8 0

3 years ago

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8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the sel

alexdok [17]

Answer:

21

Step-by-step explanation:

5 0

3 years ago

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C