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3 years ago

What are the coordinates of the midpoint of the line segment with endpoints J (-6, 3) and K (4, -2)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

6 0

It’s C. (-1, 0.5). you add the x coordinates and divide by two and then add the y coordinates and divide by two.

Rzqust [24]3 years ago

4 0

C I think it c I asked my teacher and she said it was c

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For all values of x, f(x) = x^2 + 3x and g(x) = x - 4 Show that fg(x) = x^2 - 5x + 4

Westkost [7]

Answer:

f(g(x)) = x² - 5x +4

Step-by-step explanation:

Explanation

Given that the functions

f(x) = x² + 3 x and g(x) = x-4

f(g(x)) = f(x -4) (∵ g(x) = x-4)

= (x-4)² + 3(x-4)

= x² - 2(4)x + 4² + 3x -12

= x² - 8 x + 16 + 3x -12

= x² - 5x +4

∴ f(g(x)) = x² - 5x +4

4 0

3 years ago

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

2 years ago

Read 2 more answers

Calculate the length b to two decimal places.

Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

$c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta$

Upon substituting our given values in the formula we will get,

$(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)$

$(AC)^{2}=225+144-360\text{ cos}(106)$

$(AC)^{2}=369-360(-0.275637355817)$

$(AC)^{2}=369+99.22944809412$

$(AC)^{2}=468.22944809412$

Upon taking square root of both sides of our equation we will be get,

$AC=\sqrt{468.22944809412}$

$AC=21.6386101238993629\approx 21.64$

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0

3 years ago

HELPPP FAST LIKE 4 minutes left

Levart [38]

Answer: A. 40

Step-by-step explanation:

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2 years ago

Simplify 5/6 IM KINDA CONFUSED UMM PLEASE HELP

gulaghasi [49]

The answer is 5/6. It can’t be simplified any further.

4 0

3 years ago

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