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Gnesinka [82]
2 years ago
12

A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t

he car from the town after 4 hours? Explain how you can use linear function to solve this problem. Then, solve the problem
Mathematics
1 answer:
QveST [7]2 years ago
8 0

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

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Match each pair of points A and B to point C such that ∠ABC = 90°. A(3, 3) and B(12, 6) C(6, 52) A(-10, 5) and B(12, 16) C(16, -
Nikitich [7]

Answer:

The correct option is;

A(-12, -19) and B(20, 45) matches with point C(6, 52) such that ∠ABC = 90°

Step-by-step explanation:

Given slope AB =

A point is perpendicular to two points

Where A(3, 3), B(12, 6) C(6, 52) we have;

Slope AB = (3 - 6)/(3 - 12) = -3/(-9) = 1/3

Slope BC = -3

y - 12 = -3(x - 6)

y = -3x + 18 + 12 = -3x + 30

A(-10, 5) and B(12, 16)

Slope AB = (5 - 16)/(-10 - 12) = -11/(-22) = -1/2

Slope BC = 2

y - 16 = 2(x - 12)

y = 2x - 24 + 16 = 2x - 8

A(-8, 3) and B(12, 8)

Slope AB = (3 - 8)/(-8 - 12) = -5/(-20) = -1/4

Slope BC = -4

y - 8 = -4(x - 12)

y = -4x + 48 + 8 = -4x + 56

A(12, -14) and B(-16, 21)

Slope AB = (-14 - 21)/(12 + 16) = -35/(28)

Slope BC = 28/35

y - 21 = 28/35(x + 16)

y = 28/35x + 28/35*16 + 21 = -4x + 56

A(-12, -19) and B(20, 45)

Slope AB = (-19 - 45)/(-12 - 20) = 2

Slope BC = -1/2

y - 45 = -1/2(x - 20)

y = -1/2x + 10 + 45 = -1/2x + 55

Which corresponds with the point C(6, 52)

A(30, 20) and B(-20, -15)

Slope AB = (20 + 15)/(30 + 20) = 35/50 = 7/10

Slope BC = -10/7

y + 15 = -10/7(x + 20)

y = -10/7x - 10/7*20 - 15 = -10/7x - 305/7

5 0
3 years ago
Need help with this pls asap
Bezzdna [24]
Need help asap beds helpbasap plzzzzzz need help asp
5 0
2 years ago
1
nadya68 [22]

Answer:

64

Step-by-step explanation:

2, 6, 28, 23,7.64.

because 64 is the furthest away from any other number

5 0
2 years ago
Match each system of equations with its number of solutions
igor_vitrenko [27]
Can you put a picture because I can’t se anything
6 0
2 years ago
Could someone please help and explain this to me
Lelu [443]

Answer:

Step-by-step explanation:

Four

Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.

More important, it tells you what to put in for x on the right.

f(z) would tell you to put z in for x anywhere there is an x on the right.

f(z)=2z+1. It is just a shorthand to tell you what to do on the right.

f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.

f(2) = 2(2) + 1

f(2) = 4 + 1

f(2) = 5

=================

Five

f(x) = -x - 5            The minus 4 is not going to change what you do.

f(-4) = -(-4) - 5        Wherever you see an x you put in a minus 4

f(-4) = 4 - 5

f(-4) = - 1

======================

Just so you know, consider a more complicated example

f(x) = 20x^3 + 7x^2 + 4x + 19

Where ever you see an x put in 2

f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19

f(2) = 20*8 + 7*4 + 4*2 + 19

f(2) = 160 + 28 + 8 + 19

f(2) = 215

Note x can be anything the question tells you it is.

f(5) means put a 5 in for every x.

8 0
3 years ago
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