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Anvisha [2.4K]
3 years ago
6

Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6.

Mathematics
1 answer:
Daniel [21]3 years ago
7 0
Y=mx+b where m=-6, x=-2, and y=-3. Substituting these values in would result in -3=(-6)(-2)+b, which would simplify to -3=12+b, and further to b=-15. This would mean the y intercept is equal to -15, or (0,-15). To check, (-6)*(-2)-15 is in fact equal to -3, thus allowing easy identification of a graph, which will cross the y axis at -15 and decrease in y-value by 6 with every increase in x-value.
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Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the dist
lesya [120]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

v = x + ( x-3 )\\\\v = 2x - 3

Now, distance travelled in 3 hours is (98-2) miles .

So,

2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

5 0
3 years ago
I need help on this problem! <br><br> g(h+2/3)=1 for h
Tju [1.3M]

Answer:

g(h +  \frac{2}{3} ) = 1 \\  \\ gh +  \frac{2}{3} g = 1 \\  \\ gh = 1 -  \frac{2}{3} g \\  \\  h = (1 -  \frac{2}{3} g )  \div g \\  \\ h = (1 -  \frac{2}{3} g ) \times   \frac{1}{g}  \\  \\ h =  \frac{1}{g}  -  \frac{2}{3}

I hope I helped you^_^

7 0
3 years ago
Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius o
inn [45]

Answer: 3617.28 cubic millimeters.

Step-by-step explanation: I used the formula of a sphere since a gumball is a shape of a sphere and plugged the radius into the formula.

I got that the volume of a single gumball is 288π cubic millimeters.

Since there are 4 gumballs, i multiplied the volume by 4.

The total volume of the four gumballs add up to be 1152π .

Lastly, I multiplied 1152 by pi

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8 0
4 years ago
How can you remember slope? in a creative way
lianna [129]

Answer:

Step-by-step explanation:

dont have a creative way but i just remember rise over run or \frac{rise}{run}

hope this helps <3

7 0
3 years ago
Read 2 more answers
Helppppppppp pleaseeeeeee fasttttt
topjm [15]
I think it’s 104,974
Because PEMDAS,
so first deal with exponents and 3 to the fourth power is 81. 6 to the fourth power is 1,296.
Next in PEMDAS is multiplication and division, so 1,296 times 81 is 104,976. Then 4 divided by 2 is 2.
Finally comes subtraction, 104,976 minus 2 = 104,974
5 0
3 years ago
Read 2 more answers
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