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Elza [17]
3 years ago
14

Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left

Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

15.5t=18(t-0.5) is the correct answer

Step-by-step explanation:

if the first boat travels t time then the second traveld t-0.5 time to take over

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Answer:

Step-by-step explanation:

y = 3x + 2

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I solved by adding the equations. The solution is .

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x =

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NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
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We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

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a*b + 1 = 0

we know the value of b, so we just have:

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Now the two remaining equations are:

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a*c + d = 1

Replacing the value of a we get:

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Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

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Then:

c  = 2d = 2*(-1) = -2

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So the values are:

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If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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