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Montano1993 [528]
3 years ago
13

Write the standard form of the equation of the line through the given point with given slope

Mathematics
1 answer:
Lunna [17]3 years ago
6 0
75) y=mx+b. plug in slope and point
2=(3/2)(1)+b
2=(3/2)+b. solve for b
b=1/2. plug back into original question
y=(3/2)x+(1/2) multiply by 2 to get rid of fraction
(y=(3/2)x+(1/2))*2.
2y=3x+1. subtract over the 3x
-3x+2y=1
Same would be done with the other 4 problems.
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What is the length of the transverse axis?
Basile [38]

((x-2)÷6)-((y+1)÷8)=1.

(x÷6)-0.3333-(y+0.25)=1

i hope this helps

8 0
3 years ago
NASA launched another space probe, Voyager 2 on August 20, 1977. Voyager 2 is a bit slower than Voyager 1 only traveling 15.4 km
slava [35]

Using proportions, it is found that it will take Voyager 2 82,900 years from its location to travel to the second closest star.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the Voyager 2 travels 15.4 km/s. In kilometers per year, considering that one hour has 3600 seconds, the measure is given by:

15.4 x 365 x 24 x 3600 = 485,654,400 km/year.

The distance to Proxima Centauri in km is given by:

d = |1.93 x 10^10 km - 4.24 x 9.5 x 10^12 km| = 4.02607 x 10^13 km.

Hence the time in years is given by:

t = d/v =  4.02607 x 10^13/485,654,400 = 82,900.

It will take Voyager 2 82,900 years from its location to travel to the second closest star.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
Which of the following triangles are impossible to draw? Choose all that apply.
ioda
I would say a triangle with two right angles because a triangle's angles add to 180 degrees. If a triangle has two right angles, it means that two angles will be 90 degrees, which add to 180 degrees. A triangle must have three angles and sides, and it is not possible for the last angle to be 0 degrees.

Hope this helps
7 0
3 years ago
What is the midpoint of (-2,3) and (10,3) *simple answer please
Allushta [10]

The "midpoint formula" is the same as the "average formula:"

x-coordinate of the midpoint = average of -2 and 10:

= (-2 + 10) / 2 = 4


y-coordinate of the midpoint = average of 3 and 3:

= (3+3) / 2 = 3

Thus, the midpoint of the given line segment is (4,3).


5 0
3 years ago
3x/2x simplified into racio
Alik [6]

Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

5 0
2 years ago
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