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hjlf
2 years ago
12

Please help!!! Brainliest?

Mathematics
1 answer:
Elena L [17]2 years ago
7 0
I think the answer is b i hope this helps
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Jacob leaves his summer cottage and drives home. After
krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from  home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km =  (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0
3 years ago
The opposite of which number is closest to -5
MAXImum [283]
The opposite number closest to negative five is positive 5
3 0
3 years ago
A rectangle has a perimeter of 30 inches.one side measures 5 inches.what of the measures of the three sides ?
cluponka [151]
I believe since the definition of perimeter is adding the lengths of all three sides of the angles the, width of the rectangle would be 5, and the length of the rectangle would be 10.

  10
+10 
-------
 20
+5
------
  25
+5
------
30 

And that is you answer, yay!

4 0
3 years ago
The ratio of Tom's studying time on a weekday to his studying
lesantik [10]

Answer:

6 hrs

Step-by-step explanation:

4:5

2.4 : 3.2

2.4+3.2=6 hrs

6 0
3 years ago
Read 2 more answers
What is the relationship between a and b
Advocard [28]

Answer:

B. Vertical angles.

look at the image attached.

6 0
10 months ago
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