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Goryan [66]
3 years ago
9

Devin’s football team carpools for practice every week. This week is his parents’ turn to pick up team members and take them to

the football field. While still staying on the roads, Devin’s parents always takethe shortest route in order to save gasoline. Below is a map of their travels. Each gridline represents a street and the same distance.
Mathematics
1 answer:
dem82 [27]3 years ago
3 0
No map??????????????
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4 (x+1 ) + 7(x+3) + 6(y +2) =
Korvikt [17]

Answer:

11x + 6y + 37

Step-by-step explanation:

  • (4)(x) + (4)(1) + (7)(x) + (7)(3) + (6)(y) + (6)(2)
  • 4x + 4 + 7x + 21 + 6y + 12
  • (4x+7x) + (6y) + (4+21+12)
  • 11x + 6y + 37
5 0
2 years ago
What does the 80 inches represent in an 80" TV
solong [7]
It represents the distance diagonally between two opposite corners of a Television. (i.e. the distance between the bottom-left corner and the top-right corner)
6 0
2 years ago
Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

5 0
3 years ago
How many times does 15 go into 85 evenly?
ANEK [815]

Answer:5 1/3 times

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Divide 4^2/4^6
deff fn [24]

Step-by-step explanation:

=  {4}^{2}  \div  {4}^{6}

=  {4}^{2 - 6}

=  {4}^{ - 4}

Option → C

\:

=  {4}^{ - 4}

=  \frac{1}{ {4}^{4} }

=  \frac{1}{4 \times 4 \times 4 \times 4}

=  \frac{1}{256}

Option → A

6 0
3 years ago
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