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Thepotemich [5.8K]
2 years ago
4

If you are trying to decide whether a system of equations has a solution, would you rather have the equations or the graphs? Why

?
Mathematics
1 answer:
Katarina [22]2 years ago
7 0

Answer: Graphing

Step-by-step explanation:

<em>Graphing is the best method to use when introducing a new student to solving systems of two equations in two variables, because it gives them a visual to recognize what they are looking for. Graphing is less exact and often takes more time than the other methods.</em>

<em />

<em />

<em>* Hopefully this helps!</em>

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The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many se
marysya [2.9K]

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per <em>n</em> seconds

- Need to solve for <em>n</em>

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

\frac{1.86 * 10^5}{1} = \frac{5.062 * 10^1^3}{n}

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13

4. Solve for <em>n</em> by isolating the variable and dividing.

\frac{n (1.86 * 10^5)}{1.86 * 10^5} = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n</em> = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)

4 0
2 years ago
Which lines are parallel if M^4 +M^5? Justify your answer.
Igoryamba
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well. 

<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
4 0
2 years ago
01:57:09 In a city, the distance between the library and the police station is 3 miles less than twice the distance between the
tester [92]

Answer:

Distance between the police station and the fire station be 4 miles

Step-by-step explanation:

Let distance between the police station and the fire station be x miles.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

Distance between the library and the police station =2x-3

Also, distance between the library and the police station is 5 miles.

2x-3=5\\2x=3+5\\2x=8\\x=\frac{8}{2}\\ x=4\,\,miles

8 0
2 years ago
What is the answer to 22.5+7(n-3.4)
ruslelena [56]
Expand the given expression.
22.5 + 7(n - 3.4) = 22.5 + 7*n + 7*(-3.4)

Multiply +7 and  -3.4 to obtain - 23.8. Therefore
22.5 + 7(n - 3.4) = 22.5 + 7n - 23.8

Write the constant terms together. Therefore
22.5 + 7(n - 3.4) = 7n + 22.5 - 23.8 = 7n - 1.3

Answer: 7n - 1.3
3 0
2 years ago
Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally de
horrorfan [7]

Answer:In 20 weeks they will have the same amount of money.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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