The x value of the vertex in
ax^2+bx+c is -b/2a

y value is just sub for x

3x^2-6x+5
x value of vertex is -(-6)/(2*3)=6/6=1

sub back
y=3(1)^2-6(1)+5
y=3(1)-6+5
y=3-1
y=2

vertex is (1,2)

8 0

4 years ago

Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

3 years ago

Read 2 more answers

How many sides does the polygon have ?

Lilit [14]

Answer: The answer is 20

Step-by-step explanation: If all interior angles are 162o , polygon has 20 sides.

6 0

3 years ago