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3 years ago

The axis in the coordinate plane which runs vertically is the what axis

Mathematics

1 answer:

Naddika [18.5K]3 years ago

8 0

The vertical axis in a Cartesian coordinate system is the y-axis. The horizontal axis is the x-axis.

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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

What is the answer and working out to 5 x 5/6?

nika2105 [10]

The answer for your question is 4.166666667 thank you for letting me answer your question and you welcome now bye have a great day.

3 0

3 years ago

If the mean of 6 numbers increased by 3, by how much would the sum of

Angelina_Jolie [31]

I think 6x3=18
So, the answer is 18

8 0

2 years ago

Read 2 more answers

Given 7x + 2 ≥ 58, which number is not in the solution set?

Natasha_Volkova [10]

Answer:

i can't see the rest of the question so i don't know the answer choices but:

since x≥8

whichever choice is less than 8 is incorrect

step-by-step explanation:

i can't see the rest of the question so i don't know the answer choices but:

7x≥56

x≥8

4 0

3 years ago

Factor the expression below.

Gnom [1K]

Answer:

A. (x-5)(x-5)

Step-by-step explanation:

We need to factor x^2-10x+25 into the form (x+y)(x+y) where 2y=-10 and y^2=25

2y=-10

y=-5

So this becomes (x-5)(x-5)

Hope this helped!

4 0

3 years ago

Read 2 more answers