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miss Akunina [59]
2 years ago
15

The first four terms of a geometric sequence are 27, x, 3, 1. find the value of x

Mathematics
1 answer:
Vikki [24]2 years ago
7 0

Answer:

9

Step-by-step explanation:

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Anyone know this ???
e-lub [12.9K]

Answer:

? = 13

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

?² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

? = \sqrt{169} = 13

4 0
3 years ago
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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe
mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

H_0=288 feet

V_0=48 feet

h(t)=288+48t-16t^2

Re-arrange the terms from greatest degree to smallest degree.

h(t)=-16t^2+48t+288

We can solve it by applying quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Here a = –16, b = 48, c = 288

$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}

$t=\frac{-48\pm \sqrt{2304+18432}}{-32}

$t=\frac{-48\pm \sqrt{20736}}{-32}

$t=\frac{-48\pm144}{-32}

Now, write find two t's using plus and minus operation.

$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}

$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0
2 years ago
Solve the system by substitution.<br> y = -9x<br> y = 2x + 33
Gwar [14]

Answer:

y =  - 9x \\ theny = 2x + 33 \\  - 9x = 2x + 33 \\  - 9x - 2x = 33 \\  - 11x = 33 \\ x =  \frac{ - 33}{11}  =  - 3 \\ x =  - 3 \\then\\ y=-9×-3=21\\ thank \: you

5 0
3 years ago
How are the points at each vertex of a triangle labeled?
Marat540 [252]

Answer:

t is common practise to label the vertices of a triangle with capital letters

3 0
3 years ago
What can be the answer? Please help jm in a middle of an final exam
Vikki [24]

Answer:

80

Step-by-step explanation:

7x +3 = 5x + 25

2x + 3 = 25

2x = 22

x = 11

7 0
3 years ago
Read 2 more answers
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