Answer:
10 km/ hour = 6.25 miles/ hour
Step-by-step explanation:
cyclist travel in 5 hours = 6.25 x 5 = 31.25 miles
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
The composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.
<h3>What is translation?</h3>
A translation can be explained as the movement of a shape in a direction which could be up, down but the appearance of the figure remain unchanged in any other way.
And from the figure, we can see that a translation is used, because of the movement of EFGH to figure E"F"G"H" which occurred in the same direction.
Hence, composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.
Learn more about transformation from
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Answer:
D
Step-by-step explanation:
Plug (5, 7) & (8, 13) into each equations and see which one of them makes mathematical sense. You'll find out that y=2x-3 is the right answer.
Answer:
20 miles.
Step-by-step explanation:
Let m be number of miles.
Laguana's Truck Rentals charges $20 plus $2 per mile.
Total cost of Laguana's Truck =
.... (1)
Salvatori's truck rentals charges $3 per mile.
Total cost of Salvatori's truck =
... (2)
We need to find the number of hours after that the total cost for both companies will be the same.
Therefore, after 20 miles the total cost for both companies will be the same.