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Luden [163]
3 years ago
14

A driver took a​ day-trip driving at two different speeds. He drove 90 miles at a slower speed and 260miles at a speed 20miles p

er hour faster. If the time spent during the faster speed was twice that spent at a slower​ speed, find the two speeds during the trip.
Mathematics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

Step-by-step explanation:

140n+5600=300n

160n=5600

n=35

The slow speed was 35 mph. The faster speed was 75 mph..

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While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but
Sonja [21]

Answer:

24 miles

Step-by-step explanation:

In order to calculate Judy's estimation, we would simply have to multiply the actual distance in kilometers of the tour by the number of miles that Judy believes are in a single mile. This would give us Judy's estimation for how long the tour would be in miles.

40 km. * 0.6 miles = 24 miles

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3 years ago
Please Help!
victus00 [196]
The GCF is 2
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2(2n + 5)
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4 years ago
Derive the equation of the parabola with a focus at (-2,4) and a directrix of y=6 . Put the equation in standard form
Maru [420]

Answer:

y =  -  \frac{1}{4}  {(x + 2)}^{2}  + 5

Step-by-step explanation:

The vertex of this parabola is the midpoint of the focus (-2,4) and where the directrix intersects the axis of symmetry of the parabola (-2,6)

This parabola must open downwards due to the position of the directrix and has equation of the form:

{(x - h)}^{2}  =  - 4p(y - k)

where (h,k) is the vertex.

This implies that:

h =  - 2

and

k =  \frac{4 + 6}{2}  = 5

The value of p is the distance from the vertex to the focus:

p =  |6 - 5|  = 1

We substitute all the values into the formula to get:

(x -  - 2)^{2}  =  - 4(1){(y  - 5)}

{(x  + 2)}^{2}  =  - 4(y - 5)

Or

y =  -  \frac{1}{4}  {(x - 5)}^{2}  + 5

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