We are given vertices of the triangle DEF as:
D(3, 3) , E(3, −1) , and F(−2, −5) .
Let us plot those points on the graph.
Formula of area of the triangle with vertices (x1,y1), (x2,y2) and (x3,y3).
Area = 1/2 [ (x2-x1)(y3-y1)-(x3-x1)(y2-y1)]
We have x1=3, x2=3, x3=-2, y1=3, y2 =-1 and y3 = -5.
Plugging values in formula, we get
Area = |1/2 [ 3-3)(-5-3)-(-2-3)(-1-3)]|
= |1/2 [ 0(-8) - (-5)(-4)]|
=| 1/2 [0 - 20]|
= |-10|
=10.
<h3>Therefore, area of the triangle with given vertices is 10 square units.</h3>
Answer:
15 seconds
Step-by-step explanation:
Because the split id 25% and 75%, we could create another average pretending that there are four kids, one who ran in 12 seconds, and three who ran in 16.
Equation for averages: (a₁ + a₂ + a₃ + ... 
)/ n
Plug in:<em> (12 + 16 + 16 + 16)/4</em>
Add: 60/4
Divide: 15 seconds
Answer:
The slope is 
Step-by-step explanation:
Take the general equation of a straight line 
Here 
is the slope of the line.
So let's get the equation of the line in the question in the same form.
Add 
to both sides: 
Add 
to both sides: 
Divide by 
to get it into the general equation: 
Now compare it to the general equation to find the value of . The value of is the coefficient of 
which we can see is
66 is your answer if you need anything else ask someone
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
