An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.

It is given that an expression

x² +9/4x +c is a perfect square polynomial

c =?

(a+b)² = a² +2ab+b²

2ab = 9/4

b = 9/8

c = b² = 81/64

Therefore the value of c is 81/64 for the expression a perfect square trinomial.

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5 0

3 years ago

In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest

Lisa [10]

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = $\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }$

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = $\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}$

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

∴ o = 24 centimeters

∴ The length of o is 24 centimeters

6 0

3 years ago

Solve for x in these equations. Verify the solutions.

mojhsa [17]

Answer:

$5(x + 1) + 6(x + 2) = 7(x + 3) \\ 5x + 5 + 6x + 12 = 7x + 21 \\ 11x - 7x = 21 - 17 \\ 4x = 4 \\ x = \frac{4}{4} \\ x = 1$

4 0

3 years ago

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