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3 years ago

I NEED HELP ASAP!!!!! I WILL GIVE LOTS OF POINTS

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Answer:

1) -⅓

2) -6

3) infinite

4) 4

Step-by-step explanation:

slope = y/x

1) -1/3 = -⅓

2) -6/1 = -6

3) 1/0 = infinite

4) 4/1 = 4

Wewaii [24]3 years ago

5 0

Answer:

(0,-1) and (3,-2)

slope=(y2-y1)/(x2-x1)=(-2+1)/(3-0)=-⅓

(0,2)&(1,-4)

slope=(-4-2)/(1-0)=-6

(-3,-3)&(-3,-4)

slope=(-4+3)/(-3+3)=infinite

(-1,2)&(2,-2)

slope=(-2-2)/(2+1)=-4/3

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

3 years ago

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alexira [117]

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mario62 [17]

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klemol [59]

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