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Novay_Z [31]
1 year ago
12

Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting

line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
CORRECT (SELECTED)
Josiah's distance from the starting line at a time when he is behind Chana.

Explanation: Point F is on line a, so it does represent Josiah's distance at a certain time. Also, point F is below line b, so it represents a distance that is less than Chana's distance.
Mathematics
1 answer:
kodGreya [7K]1 year ago
5 0

Josiah and Chana travel at constant and different speeds.

  • The point F indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana

<h3>How can the what the the point <em>F </em>represent be known?</h3>

Josiah's head start = 10 meters from the start

Josiah's speed = 2 m/s

Chana's speed = 3 m/s

Expressing the distance traveled as an equation, we have;

D = d + s × t

Where;

D = The distance covered

d = The distance from the starting line the runner starts

s = The speed of the runner

t = The time spent running

For Josiah, we have;

D = 10 + 2•t (line <em>a</em>)

For Chana, we have;

D = 0 + 3•t = 3•t (line <em>b</em>)

The above equations are straight line equations.

The point <em>F </em>is on line <em>a</em>, which shows Josiah distance after 25 seconds which is 60 meters. The corresponding point on line <em>b</em>, Chana's distance after 25 minutes is 75 meters.

Therefore;

  • The point <em>F </em>indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana

Learn more about straight line equations here:

https://brainly.in/question/16254550

#SPJ1

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F(x)= x^3-4x^2+9 and let g(x)=6x^3+x^2-5x-12 what is f(x)-g(x)
Anarel [89]

f(x) - g(x) = -5x^3-5x^2+5x +21

Step-by-step explanation:

Given functions are:

f(x) = x^3-4x^2+9\\g(x) = 6x^3+x^2-5x-12

We have to find the difference of functions

So,

f(x) - g(x) = x^3-4x^2+9 - (6x^3+x^2-5x-12)\\= x^3-4x^2+9-6x^3-x^2+5x+12

Combining like terms

x^3-4x^2+9-6x^3-x^2+5x+12\\=x^3-6x^3-4x^2-x^2+5x+9+12\\= -5x^3-5x^2+5x +21

Hence,

f(x) - g(x) = -5x^3-5x^2+5x +21

Keywords: Functions, Operations

Learn more about functions at:

  • brainly.com/question/5798698
  • brainly.com/question/5758530

#LearnwithBrainly

7 0
3 years ago
HELP ME WITH THIS QUESTION THANKS!✔✔
7nadin3 [17]

Answer:

-1 9/18 and then -32/40 and then 1 8/20

Step-by-step explanation:

The largest negatives is the least , then the second to least and then non-negative should be the greatest or the last

3 0
3 years ago
Read 2 more answers
Ivan draws PQR on the coordinate plane.
Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0
3 years ago
$29,000; 4% decrease
Sveta_85 [38]

Answer:

$27,840 is the correct answer

Step-by-step explanation:

hope this helps!

7 0
2 years ago
Read 2 more answers
The measure of an angle is 8 degrees less than three times the measure another angle. If the two angels are supplementary, what
GalinKa [24]

Answer:

133°

Step-by-step explanation:

Let the measure of one angle be x, then the measure of the other angle is

3x - 8

Supplementary angles sum to 180°

Sum the 2 angles and equate to 180

x + 3x - 8 = 180

4x - 8 = 180 ( add 8 to both sides )

4x = 188 ( divide both sides by 4 )

x = 47

The larger angle = 3x - 8 = (3 × 47) - 8 = 141 - 8 = 133°

6 0
3 years ago
Read 2 more answers
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