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ruslelena [56]
2 years ago
15

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

Mathematics
2 answers:
dem82 [27]2 years ago
5 0

Answer:

x=3+4\sqrt{3}

Step-by-step explanation:

I agree with the another person's steps.

madreJ [45]2 years ago
3 0

Answer:

x = 3 + 4\sqrt{3}

Step-by-step explanation:

OPQ is a right angle triangle.

<u>Using Pythagoras</u>

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

<u>Using quadratic formula</u>

<u />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.)

             OR

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

∴ x = 3 + 4\sqrt{3}

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bulgar [2K]

Answer:145

Step-by-step explanation:x-5+3x+25=180

4x+20=180 4x=160 x=40. <k=120+25=145

4 0
2 years ago
If each side of a square grows 6 mm, the area of ​​the square is multiplied by 16. How long are the sides of the original square
Phoenix [80]

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

3 0
2 years ago
there are 30 major league baseball (MLB) teames and 32 National football League (NFL) teams. The expanded roster for MLB teams i
maria [59]
40 players multiplied by 30 teams = 1,200 players in the MLB
53 players multiplied by 32 teams = 1,696 players in the NFL.
1,696 - 1,200 = 496

There are 496 more players in the NFL then in the MLB.
4 0
3 years ago
Lee wants to collect 22 of a certain type of action figure. He had 11 of the figures, then got 3 more for his birthday. What dec
Shalnov [3]

To solve this problem, we must first find the fraction of action figures that Lee has gotten so far.  To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.

First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday.  To find the total number of action figures that Lee has, we must add together these two parts.  

11+3 = 14

Therefore, Lee has 14 action figures (this will become the numerator of the fraction).  The denominator of the fraction is the total number of action figures, which we are given is 22.

Thus, our fraction is 14/22.

To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:

14/22 = 0.636363636

Therefore, your answer is approximately 0.636.

Hope this helps!

6 0
3 years ago
PLEASE HELP! IM ALMOST DONE WITH THIS ASSIGNMENT PLSSS HELPP ILL GIVE BRAINLIEST SHOW UR WORK
Talja [164]

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

7 0
2 years ago
Read 2 more answers
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