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patriot [66]
3 years ago
8

write an equation of the line that passes through (-1,7) and is parrallel to the line whose equation is y=-2x-5

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

See Below

Step-by-step explanation:

Ok, line needs to be parallel. Therefore, it should have the same slope.

y = -2x + b

Plugin the points and solve for y-intercept

(-1,7)

7 = -2(-1) + b

7 = 2 + b

-2   -2

5 = b

Plug it all in

y = -2x +5

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A car traveling at 88 km an hour over takes a bus traveling at 64 km an hour if the bus has a 1.5 hour Headstart how far from th
PIT_PIT [208]

Answer: 352 miles

Step-by-step explanation:

At the point where the car overtook the bus, the car and the bus would have travelled the same distance.

Let x represent the distance covered by bus and the car before the car overtook the bus.

Let t represent the time taken by the bus to travel x miles.

The bus was traveling at 64 km an hour.

Distance = speed × time

Distance travelled by the bus in t hours would be

x = 64 × t = 64t

if the bus has a 1.5 hour Headstart, it means that the car started moving 1.5 hours after the bus has moved.

Therefore, time spent by the car would be t - 15 hours.

The car traveling at 88 km an hour

Distance covered by the car in t - 1.5 hours would be

x = 88(t - 1.5) = 88t - 132

Since the distance covered is equal, then

88t - 132 = 64t

88t - 64t = 132

24t = 132

t = 132/24

t = 5.5 hours

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x = 64 × 5.5 = 352 miles

3 0
3 years ago
Please help me on this ​
Sveta_85 [38]

Answer:

14.125

Step-by-step explanation:

You combine the two equations and get

8x - 23

and since they're in a 90 degree angle you do

8x - 23 = 90

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divide 113 by 8 and you get 14.125 and if you plug it in for both x's you get 24.625 + 65.375 you get an even 90

3 0
3 years ago
How do you solve 1/4 (8y + 4) -17= 1/2 (4y -8)
Keith_Richards [23]
Well use photo math that will give u the answer and how to work it out
3 0
3 years ago
The length of a rectangular deck is 4 times its width if the decks perimeter is 30 ft, what is the decks area
omeli [17]

Answer:

The area of the rectangular deck is 36 sq feet.

Step-by-step explanation:

Let the width of the deck  =  k ft

So, the length of the deck = (4k) ft

Now, perimeter = 30 ft

PERIMETER OF A RECTANGLE =  2(LENGTH + WIDTH)

⇒2( k + 4k)  = 30

or, 2 x 5k = 30   ⇒  10k = 30

⇒ k = 30/10 = 3

So, the width of the deck = k  = 3 ft

Length of the deck = 4k = 3 x 4  = 12 ft

Now, AREA OF A RECTANGLE =  LENGTH X WIDTH

So, the area of the rectangular deck = 3 ft x 12 ft

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Hence, the area of the rectangular deck is 36 sq feet.

8 0
2 years ago
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sweet [91]

Answer:

C) 14/4

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Multiply the amount of land per month by the number of months.

(2/4)(7) = 14/4 acres

7 0
2 years ago
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