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anygoal [31]
3 years ago
5

Given 4x²=(3y-5z÷4)² ,findx if y=x-2 and z=2y​

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

x = 2/5 or x = -2/3

Step-by-step explanation:

y = x - 2

z = 2y = 2(x - 2) = 2x - 4

4x² = (3y - 5z ÷ 4)²

Substitute y with x - 2. Substitute z with 2x - 4.

4x² = [3(x - 2) - 5(2x - 4) ÷ 4]²

16 * 4x² = [3(x - 2) * 4 - 5(2x - 4) ÷ 4 * 4]²

64x² = [12(x - 2) - 5(2x - 4)]²

64x² = (12x - 24 - 10x + 20)²

64x² = (2x - 4)²

64x² = 4x² - 16x + 16

60x² + 16x - 16 = 0

15x² + 4x - 4 = 0

ac = 15 * (-4) = -60

-6 * 10 = -60

-6 + 10 = 4

15x² - 6x + 10x - 4 = 0

(15x² - 6x) + (10x - 4) = 0

3x(5x - 2) + 2(5x - 2) = 0

(5x - 2)(3x + 2) = 0

5x - 2 = 0 or 3x + 2 = 0

5x = 2 or 3x = -2

x = 2/5 or x = -2/3

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There are 13 people on the city bus. At the first stop, four people get off and to get on. At the Second stop, six people get of
antiseptic1488 [7]

Answer:

9 people should get on stop 1.

Step-by-step explanation:

If i understood it correctly .

13 people on bus initially.

at first stop - 4 people get off . So 9 people should be on bus.

But few get in bus ( that is what is asked in the question - but it is not super clear to me)

after 2nd stop - there are 12 people on bus.

at 2nd stop  6 people got off.. so there were total of 18 on the bus

So if there were 9 people on bus stop by stop 1 .. so 9 people should have got in bus at stop 1 to make it equal to 18.

Only doubt i have is  : if the question is asking how many got on the 2nd stop.  also i was not clear what does this line means - At the first stop, four people get off and to get on.

6 0
3 years ago
Read 2 more answers
Simplify 6 - (-2) - 3(-5)
seraphim [82]

So the first thing we need to do is multiply 3*-5, since order of operations dictates it (PEMDAS)

6-(-2)-(-15)

Now, whenever we see a minus negative number, we can think of it as adding a positive number

6+(+2)+(+15)

Now we just add them together

6+2+15 = 23

23 is the answer

8 0
3 years ago
Read 2 more answers
Please help as soon as possible PLEASE
pashok25 [27]

Area of the entire rectangle =x^2+10x+24

Solution:

Area of the blue box =  length × width

                                  =x\times x

Area of the blue box =x^2

Area of the pink box =  length × width

                                  =4\times x

Area of the pink box =4x

Area of the green box = length × width

                                     =6\times x

Area of the green box =6x

Area of the orange box = length × width

                                       =6\times 4

Area of the orange box = 24

Total area of the rectangle =x^2+4x+6x+24

                                             =x^2+10x+24

Area of the entire rectangle =x^2+10x+24

4 0
3 years ago
Factor -1/4 out of -1/2x -5/4y. (i will mark brainlyest)
mash [69]

Answer:

-1/4 (2x - 5y)

Step-by-step explanation:

For us to factor -1/4 out of -1/2x -5/4y

We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown

-1/2x - 5/4 y

= -1/4 (-4(-1/2x) - (-4)(-5/4y))

= -1/4 (4/2 x - 20/4 y)

= -1/4 (2x - 5y)

Hence the factored expression is -1/4 (2x - 5y)

5 0
2 years ago
A cone has a radius of 4 units and a height of 6 units.
Usimov [2.4K]
We know, Volume of a Cylinder = πr² h/3
v = 3.14 * 4² * 6/3
v = 3.14 * 16 * 2
v = 100.48 

In short, Your Answer would be Option B

Hope this helps!
7 0
3 years ago
Read 2 more answers
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