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Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

-6+√-4 = -6+2i

Answer 2
Answer:

Answer:

-6 + 2i

Step-by-step explanation:

The square root of -4 is the imaginary number: 2i The -6 stays the same. So add,, but don't combine real and imaginary numbers.

-6 + 2i


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Answers

48 is your answer:):);)

​​Find the coordinates of the midpoint of with endpoints G(-9, 4) and H(5, 10).

Answers

((x_(2) + x_(1))/(2), (y_(2) + y_(1))/(2)) \n((-9 + 5)/(2), (4 + 10)/(2)) \n((-4)/(2), (14)/(2)) \n(-2, 7)

Which expression is equivalent to x4 -y4

Answers

factorise

in this case the common factor is 4
so, 4(x-y)

Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). What is the margin of error?A) 2.5 years
B) 4.9 years
C) 5 years
D) 6.7 years

Answers

The correct answer for the question that is being presented above is this one: "D) 6.7 years." Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). The margin of error is 6.7  years

Answer: it’s b

Step-by-step explanation:

Just did it

What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?The axis of symmetry is x =

Answers

f ( x ) =  - ( x + 9 ) ( x - 21 ) =
= - ( x² - 21 x + 9 x - 189 ) =
= - x² + 21 x - 9 x + 189 =
= - x² + 12 x + 189
This is a quadratic function and its axis of symmetry is:
x = - b / 2a,  where: a = - 1 and b = 12
x = - 12 / 2·(-1) = - 12 / (- 2) = 6
Answer: x = 6

The axis of symmetry is x = 6

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = (-b)/(2a) } }

Given:

f(x) = - (x + 9)(x - 21)

f(x) = - (x^2 - 21x + 9x - 189)

f(x) = - (x^2 - 12x - 189)

f(x) = -x^2 + 12x + 189

The axis of symmetry is

x = (-b)/(2a)

x = (-12)/(2(-1))

x = (-12)/(-2)

\large {\boxed {x = 6} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number , Axis , Symmetry , Function

Can anyone help me find the simplest form for 15/23 / 6/7

Answers

(15/23)/(6/7) = (15/23)*(7/6)
=(15*7)/(23*6)
=105/138
=35/46
(15/23)/(6/7)
(105/161) / (138/161)
(105/161) x (161/138)
16905/22218
5635/7406
35/46 simplest :)