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Umnica [9.8K]
3 years ago
15

If the line passing through the points (a, 1) and (−2, 6) is parallel to the line passing through the points (−12, 9) and (a + 2

, 1), what is the value of a?
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

\frac{6 - 1}{ - 2 - a}  =  \frac{9 - 1}{ - 12 - a - 2}  \\  \frac{5}{ - 2 - a}  =  \frac{8}{ - 14 - a}  \\ 16 + 8a = 70 + 5a \\ 3a = 54 >  > a = 18
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A wall clock is generally a more precise tool for measuring a length of time than a stopwatch.
Sergio039 [100]

Answer:

False

Step-by-step explanation:

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3 years ago
Factor 2a^5b + 2a^4b^2 + 2a^3b^3.
geniusboy [140]
2a^5b + 2a^4b^2 + 2a^3b^3=2a^3b\cdot a^2+2a^3b\cdot ab+2a^3b\cdot b^2\\\\=\boxed{2a^3b(a^2+ab+b^2)}
7 0
3 years ago
Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a
OLga [1]
Sadly, after giving all the necessary data, you forgot to ask the question.
Here are some general considerations that jump out when we play with
that data:

<em>For the first object:</em>
The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons
The force needed to lift it at a steady speed is 19.6 newtons.
The potential energy it gains every time it rises 1 meter is 19.6 joules.
If it's rising at 2 meters per second, then it's gaining 39.2 joules of
     potential energy per second.
The machine that's lifting it is providing 39.2 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.

<em>For the second object:</em>
The object's weight is (mass) x (gravity) = 4 x 9.8 = 39.2 newtons
The force needed to lift it at a steady speed is 39.2 newtons.
The potential energy it gains every time it rises 1 meter is 39.2 joules.
If it's rising at 3 meters per second, then it's gaining 117.6 joules of
     potential energy per second.
The machine that's lifting it is providing 117.6 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(4)(9) = 18 joules.

If you go back and find out what the question is, there's a good chance that
you might find the answer here, or something that can lead you to it.

4 0
3 years ago
How many dots would be in the 7th picture ?
neonofarm [45]

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

6 0
3 years ago
What is the slope of the following 12x - 6y = 30
blagie [28]

Answer:

slope = m = 2

6 0
3 years ago
Read 2 more answers
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