The two pieces are continuous for every
So, our only concern is to make sure that the pieces "glue" continuously at x=7.
To ensure this, we evaluate both pieces at x=7, and impose that the two values are equal.
The first piece evaluates to
The second piece evaluates to
So, we want
We move all terms involving c to the left hand side, and all the numerical constants on the right hand side:
Answer:
541 (484) 783, 437 (410) 642
Step-by-step explanation:
Required
Fill in the bracket
First, we generate a formula for the first sequence: 541 (484) 783
Using the same formula for the second sequence: 437 (?) 642
Where x represents the empty bracket
Answer: 24 cm
Step-by-step explanation:
The formula for calculate the area of a triangle is:
Where b is the base and h is the height.
Then if the base of the triangle is 5 times the height:
Substitute the above into the formula and solve for the height. Therefore, you obtain that the height is: