Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
Answer: G. 12.5, 7.5, 10
Step-by-step explanation:
To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,
F.
8² = 4² + 4²
64 = 16 + 16 = 32
A right angle triangle cannot be formed because they are not equal.
G.
12.5² = 7.5² + 10²
156.25 = 56.25 + 100 = 156.25
A right angle triangle can be formed because they are equal.
H.
23² = 11² + 9²
529 = 121 + 81 = 202
A right angle triangle cannot be formed because they are not equal.
J.
96² = 12.5² + 6²
9216 = 156.25 + 36 = 192.25
A right angle triangle cannot be formed because they are not equal.
Before you use the quadratic formula, you have to make sure the equation itself is a quadratic and that a and b are not 0.
Answer:
There is a 34.3% probability that he makes all of the shots.
Step-by-step explanation:
For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
What is the probability that he makes all of the shots?
This is P(X = 3).
There is a 34.3% probability that he makes all of the shots.
The answer would be 0.37.
