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malfutka [58]
3 years ago
14

2. JI. has coordinates J(-6, 1) and Z(-4, 3). Find the coordinates of the midpoint.​

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

midpoint = \frac{-6-4}{2}, \frac{1+3}{2} ) = ( \frac{-10}{2}, \frac{4}{2} ) = (- 5, 2 )

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Rationalise: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B48%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" title="\
Hoochie [10]

Answer:

4

Step-by-step explanation:

Root(48)/Root(3)

= root(48/3)

= root(16)

=4

7 0
3 years ago
Read 2 more answers
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
A sphere has a diameter of 14 units. What is the volume of the sphere in cubic units? If a cylinder has the same radius as the s
lesya692 [45]

Answer:

B

Step-by-step explanation:

r = 14/2 = 7units

Volume of sphere=\frac{4}{3}*\pi*r^{3}\\\\=\frac{4}{3}*3.14*7*7*7\\\\=1436.03cubic units\\\\Volume of cylinder=\pi*r^{2}*h\\\\=3.14*7*7*14\\\\=2154.04 cubic units

7 0
3 years ago
K + 22 = 29<br> Solve the equation.
IceJOKER [234]

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3 0
3 years ago
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Find the slope of the line going through the points
klasskru [66]

Answer:

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Step-by-step explanation:

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4 0
4 years ago
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