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ch4aika [34]
3 years ago
10

2x² + 4x + 4 + x² + 1 = 180

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Step-by-step explanation:

2 {x}^{2}  + 4x + 4 +  {x}^{2}  + 1 = 180

3 {x}^{2}  + 4x + 5 = 180

{3x}^{2}  + 25x - 21x - 175 = 0

x \times (3x + 25) - 7(3x + 25) = 0

(3x + 25) \times (x - 7) = 0

3x + 25 = 0 = x - 7 = 0

x =  -  \frac{25}{3}  = x = 7

= x_{1} =  -  \frac{25}{3} . \:  \:  x_{2} = 7

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HELP ME PLS
Alisiya [41]

Answer:

7/24

Step-by-step explanation:

you have to have a common denominator so you multiply one denominator to the opposite numerator and denominator and vice versa. So for 2/3 you should get 16/24 and for 3/8 you should get 9/24. Then you subtract 9 from 16 and get 7. So the answer is 7/24

3 0
2 years ago
Read 2 more answers
I am sooo confused :( please help me answer this and get full points :)
natka813 [3]

Answer:

Step-by-step explanation:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height)

6 0
2 years ago
The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25
Assoli18 [71]

Answer:

(a) The velocity after 2 second is 5.9 m/s

The velocity after 4 second is -13.7 m/s.

(b) The projectile reaches its maximum height  after 2.60 s of projection.

(c)The maximum height that is attained by the projectile is 37.18 m.

(d)Therefore the projectile hits the ground after 5.36 seconds of projection.

(e)The velocity of the projectile when it hits the ground is 27.03 m/s

Step-by-step explanation:

Given that, a projectile shot vertically upward from a point 4 m above the ground with a initial velocity of 25.5 m/s.

The height of the projectile after t seconds is

h=4+25.5t-4.9t^2

where h is in meter.

(a)

We use the formula

v=u+at

V= final velocity

u = initial velocity = 25.5 m/s

a = acceleration=   acceleration due to gravity= 9.8 m/s²

Since the object moves upward direction and acceleration due to gravity is downward direction. So here a= -9.8 m/s.

v(2)= 25.5+(-9.8)×2

     =25.5-19.6

     =5.9 m/s

And when t= 4

v(4)= 25.5+(-9.8)×4

    =25.5-39.2

    = -13.7 m/s

The velocity after 2 second is 5.9 m/s

The velocity after 4 second is -13.7 m/s.

(b)

At its maximum height,the velocity of the projectile is zero. i.e v=0

∴0=25.5+(-9.8)t

⇒9.8t=25.5

\Rightarrow t=\frac{25.5}{9.8}

⇒t = 2.60 s

The projectile reaches its maximum height  2.60 s after projection.

(c)

To find the maximum height, we are putting t= 2.60 in this equation h=4+25.5t-4.9t^2.

\therefore h= 4+(25.5\times 2.60)-(4.9\times 2.60^2)

     =37.18 m

The maximum height that is attained by the projectile is 37.18 m.

(d)

When the projectile hits the ground the height will be zero i.e h=0

From the equation of height we get

\therefore h=0=4+25.5t-4.9t^2

\Rightarrow 4+25.5t-4.9t^2=0

\Rightarrow t=\frac{-25.5\pm\sqrt{25.5^2-4(-4.9).4}}{2(-4.9)}

⇒t= -0.15 ,5.36

Therefore it hits the ground after 5.36 seconds of projection.

(e)

To find the velocity we use the formula v=u+at

Here v = final velocity=?

u=25.5 m/s,

t = 5.36 s

a= -9.8m/s²

v=25.5+(-9.8)5.36

 = -27.03 m/s

Negative sign denoted that the motion of the projectile is downward direction.

The velocity of the projectile when it hits the ground is 27.03 m/s.

6 0
3 years ago
Solve expressions with unit and standard form solution...<br>7 hundreds * 10
Effectus [21]
Its 7000 your welcome
4 0
3 years ago
A stadium has 49,000 seats. Seats sell for ​$42 in Section​ A, ​$36 in Section​ B, and ​$30 in Section C. The number of seats in
Nonamiya [84]

Answer:

7,000

Step-by-step explanation:

3,500b + 3,500c = a

            or

3,000b + 4,000c = a

       7,000 = a

idk what i was doing

7 0
2 years ago
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