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RoseWind [281]
3 years ago
14

Help me out with this

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

7.5

Step-by-step explanation:

2x+12=6x-18

2x=6x-30

-4x=-30

x=7.5

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Midpoint of the line segment (-1,6), (-6,5)
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What is the 9th term of the geometric sequence 4, −20, 100, …?
sveta [45]
First, we are going to find the common ratio of our geometric sequence using the formula: r= \frac{a_{n}}{a_{n-1}}. For our sequence, we can infer that a_{n}=-20 and a_{n-1}=4. So lets replace those values in our formula:
r= \frac{-20}{4}
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Now that we have the common ratio, lets find the  explicit formula of our sequence. To do that we are going to use the formula: a_{n}=a_{1}*r^{n-1}. We know that a_{1}=4; we also know for our previous calculation that r=-5. So lets replace those values in our formula:
a_{n}=4*(-5)^{n-1}

Finally, to find the 9th therm in our sequence, we just need to replace n with 9 in our explicit formula:
a_{9}=4*(-5)^{9-1}
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4 0
2 years ago
Please help with this
Arturiano [62]

The missing side of the triangles are 5, 16.92, 7 and 5 respectively.

Step-by-step explanation:

  • Step 1: Use the Pythagoras Theorem to find the missing sides.

a² + b² = c²

In the first triangle, a = 3, b = 4.

c² = 3² + 4² = 9 + 16 = 25

⇒ c = 5

∴ Missing side is 5

In the second triangle, a = 15, b = 8

c² = 15² + 8² = 225 + 64 = 289

⇒ c = 16.92

Missing side is 16.92

In the third triangle, b = 24, c = 25

a² = c² - b²

a² = 25² - 24² = 625 - 576 = 49

⇒ a = 7

Missing side is 7

In the fourth triangle, a = 12, c = 13

b² = c² - a²

b² = 13² - 12² = 169 - 144 = 25

⇒ b = 5

Missing side is 5

7 0
3 years ago
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