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Mumz [18]
2 years ago
10

Which equation represents a line that passes though (-9,-3) and has a slope of -6

Mathematics
2 answers:
cluponka [151]2 years ago
5 0

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), thus

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

kramer2 years ago
4 0
D) y + 3 = -6(x + 9)



The equation for point-slope form is y - y1 = m(x - x1) where (x1, y1) is a point and m is the slope.

Substitute the values in to get y - (-3) = -6(x - (-9)).

Now, simplify a little bit.

y + 3 = -6(x + 9)

There’s the answer.



Please consider marking this answer as Brainliest to help me advance.
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2 years ago
Can someone help me the 2nd problem I don’t understand it
Galina-37 [17]

Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

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T_A=\frac{390}{S_A}

T_A=\frac{390}{65}

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T_B=\frac{390}{45}

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So it would have taken bus B 8.\overline{6} hours to cover a distance of 390 miles.

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It will take 2.\overline{6} more hours than bus A for bus B to complete a distance of 390 miles.

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Okay, so your first one, number six. You have two shapes there, a cone and a circle. Now you have a full cone and a half of a circle. Let's start with the cone. The formula for the volume of a cone is πr²h/3. You have your height, that is 12, so get your paper out and plug that in. H = 12. Now, your radius is where it gets a bit tricky. Have you ever heard of the Pythagorean theorem? It's a²+b²=c². Look at the cone, but look at it like it's a two-dimensional shape. You see the triangle in the middle, ignore the rest and pretend it's only that triangle. You now have a right triangle, You know your height is 12, and by looking at the triangle adjacent to it, and know it's equal, you know that your hypotenuse (the longest side of your triangle) is 15. So plug that into the Pythagorean theorem. Now you have 12²+b²=15². Use algebra to work that out, and you're left with 9. So your radius is 9. Now plug that into your volume of a cone equation. The volume of the cone is about 1017.88. Now find the circle or sphere. The formula is 4/3πr³. Just plug in your radius and get your answer, which is 3053.63. Now cut that in half, as you've only got half a circle. Now you've got 1526.82. Now add that to the volume of your cone, and you've got your final answer. 2544.7, or about that. I used π on a calc, and not 3.14, so it might be a little different.

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7 0
2 years ago
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