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disa [49]
3 years ago
11

Find The Slope Between The Following Points (-6,6) and (-6,-1)

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

The slope of this line would be undefined.

Step-by-step explanation:

In order to find the slope of any line, use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-6 - -1)/(-6 - -6)

m = (-6 + 1)/(-6 + 6)

m = -5/0

Since we cannot divide by 0, then we know the slope is undefined.

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Two cars leave towns 750 kilometers at the same time and travel toward each other. One car's rate is 12 kilometers per hour less
andreev551 [17]

If the distance between the two twons equals 750 km, and the cars met at some point on the road then the distance of the first car added to the distance of the second car equals 750 km, like this:

d1 + d2 = 750

Where d1 is the driven distance by the first car and d2 is the driven distance by the second car.

Distance, is the product of speed and time, then we can rewrite the above equation like this:

s1×t + s2×t = 750

S1 is the speed of the first car and s2 is the speed of the second time, t is the time. We already know that the time it took the cars to meet each other equals 5 hours, then, by replacing 5 for t into the above expression, we get:

s1×5 + s2×5 = 750

5(s1 + s2) = 750

We are also told that the speed of the first car is 12 less than the speed of the second car, this means that the speed of the first car equals the speed of the second one minus twelve. Then we can formulate the following expression for the speeds of the cars:

s1 = s2 - 12

By replacing s2 - 12 for s1 into 5(s1 + s2) = 750 we get:

5(s1 + s2) = 750

5(s2 - 12 + s2) = 750

5(s2 + s2 - 12) = 750

5(2s2 - 12) = 750

By dividing both sides by 5, we get:

(2s2 - 12) = 750/5

2s2 - 12 = 150

By adding 12 on both sides:

2s2 = 150 + 12

2s2 = 162

Finally, by dividing by 2 on both sides:

s2 = 162/2

s2 = 81

Now that we know that the speed of the second car, equals 81, we can find the speed of the first car by means of the formula s1 = s2 - 12, then we get:

s1 = s2 - 12

s1 = 81 - 12

s1 = 69

Then, the speed of the slower car equals 69 kilometers per hour

7 0
2 years ago
Michael and Imani go out to eat for lunch.
Wittaler [7]
Part A= $27.32
Part B= $32.24
8 0
4 years ago
Read 2 more answers
To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of gray tone, and 5/8 ounces of
natima [27]

Answer: To make 20 ounces of dye, we need 3 oz red tone, 6 oz of gray tone and 5 oz of brown tone.

To make 100 ounces of dye, we need 15 oz red tone, 30 oz of gray tone and 25 oz of brown tone.


Step-by-step explanation:

The amount of specific hair dye made by given ingredients=1\frac{1}{8}+\frac{3}{4}+\frac{5}{8}

=\frac{9}{8}+\frac{3}{4}+\frac{5}{8}

=\frac{9+6+5}{8}=\frac{20}{8}=\frac{5}{2}\ oz

Therefore , The amount of specific hair dye made by given ingredients=\frac{5}{2} qz

Multiply reciprocal of \frac{5}{2} to each ingredient to find the amount of each ingredient required to make 1 oz of specific hair dye.

To make 1 oz of specific dye, the amount of red tone needed=\frac{3}{8}\times\frac{2}{5}=\frac{3}{20}\ oz

Similarly, Gray tone=\frac{3}{4}\times\frac{2}{5}=\frac{3}{10}\ oz

Brown tone=\frac{5}{8}\times\frac{2}{5}=\frac{1}{4}\ oz

Now, multiply 20, to each

To make 20 oz of specific dye, the amount of red tone needed=\frac{3}{20}\times20=3\ oz

Similarly, Gray tone=\frac{3}{10}\times20=6\ oz

Brown tone=\frac{1}{4}\times20=5\ oz

To find each dye to make 100 ounces of dye, multiply 5 to the above amounts, [since 100=20\times5 ]

To make 20 oz of specific dye, the amount of red tone needed=15\ oz

Similarly, Gray tone=30\ oz

Brown tone=25\ oz


3 0
3 years ago
Read 2 more answers
How much time will it take for a bug to travel 5 meters if it is traveling 1 m/s
Sophie [7]

Answer:

5

Step-by-step explanation:

divide the distance by the rate of speed

5/1=5

7 0
3 years ago
Read 2 more answers
Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right
jenyasd209 [6]

Answer:

not enough information given

Step-by-step explanation:

as the rules say, we need at least 3 pieces of information :

2 angles and a side, or 3 angles (or there are other options like 2 sides and one angle or 3 sides).

but here we get 1 side and 1 angle. the shared point does not give us anything in that regard.

so, not enough information.

7 0
2 years ago
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