Which of the following are right triangle congruence theorems
1 answer:
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Part A. Lest fin the zeros of our function first:
Step 1. Set the right side of the function equal to 0:
Step 2. Multiply both sides of the equation by -1
Step 3. Factor the left side:
Step 4. Set each factor equal to 0 and solve for
:
and 
and 
Since distances can't be negative, the zero of our function is.
<span>We can conclude that the zero </span> represents that when the horizontal distance of the diver is 3 ft, he is is in the surface of the pool. In other words, his vertical distance is zero.
Part B. To factor our quadratic equation
, we are going to use the method for simple cases because 
:
Step 1. Find tow numbers whose product is
and its sum is 
:
We know form our quadratic that
, 
, and 
, so 
.
We want tow numbers that multiply together to make -18, and add up to 3.
Those number are 6 and -3.
and 
Step 2. Rewrite the middle term
using those numbers:
Step 3. Factor the expression:
Step 1. Set the right side of the function equal to 0:
Step 2. Multiply both sides of the equation by -1
Step 3. Factor the left side:
Step 4. Set each factor equal to 0 and solve for
Since distances can't be negative, the zero of our function is
<span>We can conclude that the zero </span>
Part B. To factor our quadratic equation
Step 1. Find tow numbers whose product is
We know form our quadratic that
We want tow numbers that multiply together to make -18, and add up to 3.
Those number are 6 and -3.
Step 2. Rewrite the middle term
Step 3. Factor the expression: