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3 years ago

Rationalize the numerator of the expression

Mathematics

1 answer:

dangina [55]3 years ago

3 0

Multiply by the conjugate for the numerator

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Can somebody please help with these two questions?

Nitella [24]

Answer:

#3: x is approximately 0.37, -5.37, #4: x is approximately 4.19, -1.19

Step-by-step explanation:

You can solve using the quadratic equation or by solving with the perfect square

$\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}$ = $x^{2}+5x-2=0\\ \frac{-5+/-\sqrt{5^{2}-4(1)(-2) }}{2(1)}$

x is approximately 0.37, -5.37

6 0

2 years ago

Thomas Vega offers to pay $59 of the March cell phone bill. Each of the other 4 members of the family agrees to split the rest o

bija089 [108]

59×2=118 cost of bill.
59÷4=14.75 for the other 4 if the bill was 118 assuming Thomas pays half.

or...59 ×5=295
assuming they all pd 1/5 of the bill

6 0

2 years ago

(2 + 3i) + (3 – 4i) (3 – 5i) – (–2 – i) (2 − 4i)(1+ 3i) 2i(−1+ 3i)

grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

Question 1

(2 + 3i) + (3 - 4i)
5 - i

Question 2

(3 – 5i) – (–2 – i)
3 - 5i + 2 + i
5 - 4i

Question 3

(2 − 4i)(1+ 3i)
2 - 4i + 6i - 12i²
14 + 2i

Question 4

2i(-1 + 3i)
-2i + 6i²
-6 - 2i

6 0

1 year ago

In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°. Circle P is inscribed with quadrilateral Q R S

Assoli18 [71]

Answer:

105degrees

Step-by-step explanation:

Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

Hence the measure of <RST is 105degrees

7 0

2 years ago

Read 2 more answers

klemol [59]

Answer:

Step-by-step explanation:

6 0

2 years ago