What is the value of a in the equation 5a-10b=45, when b=3?
2 answers:
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Here we get the statement:
"sec^-1(0.5) is undefined"
And we want to see if this is true or false, so let's use the properties that we know to find that this is false.
Remember that the sec function is defined as:
Then we will have:
Then is really trivial to see that:
Then we can conclude that the function is not undefined at 0.5, so the statement is false.
Below you can see the graph of the given function, and you will see that it is never undefined.
If you want to learn more, you can read:
Answer:
Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.
Step-by-step explanation:
Given:
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.
If the total trip to the park took 7 hours and it was 52 miles away.
Now, to find the time Julio travel at each speed.
The speed travelled by the bike = 8 mph.
The speed travelled by the walking = 7 mph.
Let the time Julio travel with bike be
And the time Julio travel by walking be
As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,
Thus, the total time taken:
So, the distance travelled by bike:
Speed × time
And, the distance travelled by walking:
Speed × time
Now, the total distance travelled by Julio:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 49 we get:</em>
<em>The time Julio travelled with bike = 3 hours.</em>
Now, to get the time Julio travelled by walking by substituting the value of :
<em>The time Julio travelled by walking = 4 hours.</em>
Therefore, Julio travel 3 hours by biking and 4 hours by walking.