All categories

3 years ago

WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER AND POINTS!

Mathematics

1 answer:

Otrada [13]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Solve this for Brainliest! See the attachment [Level - GCSE]

madreJ [45]

Answer:

$x = 3 + 4\sqrt{3}$

Step-by-step explanation:

OPQ is a right angle triangle.

Using Pythagoras

$x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0$

Using quadratic formula

$x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}$

$x = 3 + 4\sqrt{3} = 9.928(4s.f.)$

$x = 3 - 4\sqrt{3} = -3.928(4s.f.)$ (Length can't be negative)

∴ $x = 3 + 4\sqrt{3}$

3 0

2 years ago

Read 2 more answers

HELP PLS BRAINLEIST 10 POINTS

qwelly [4]

Answer:

26 is the answers for the question

4 0

2 years ago

True or false: sec^-1(0.5) is undefined. explain your answer

ICE Princess25 [194]

Here we get the statement:

"sec^-1(0.5) is undefined"

And we want to see if this is true or false, so let's use the properties that we know to find that this is false.

Remember that the sec function is defined as:

$sec(x) = \frac{1}{cos(x)}$

Then we will have:

$sec^{-1}(x) = (\frac{1}{cos(x)})^{-1} = cos(x)$

Then is really trivial to see that:

$sec^{-1}(0.5) = cos(0.5) = 0.878$

Then we can conclude that the function is not undefined at 0.5, so the statement is false.

Below you can see the graph of the given function, and you will see that it is never undefined.

If you want to learn more, you can read:

brainly.com/question/16453813

6 0

3 years ago

Read 2 more answers

What is the midpoint of the line segment with endpoints (1,-6) and (-3,4)?

kirill115 [55]

Answer:

(-1,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(1+-3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 = -1

(-1,-1)

8 0

3 years ago

What is 64,005,874 in word and expanded form and 30,679,100

MakcuM [25]

64005874
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100

hope this helps

8 0

3 years ago