Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units
The answer is A,
. This is because when plugging in -2 for x, the expression will look like this:
. To make the exponent positive, you have to flip it into a fraction. Then it will be
. Lastly, you simplify the denominator into 81.
Answer:
No
Step-by-step explanation:
pi is irrational. That was proven long ago. Unfortunately the proof is harder to understand than the proof that the square root of 2 is irrational, which is accessible to most high school students.
To prove that p is irrational you need to understand calculus, up through integration. Even then, the proof is rather intense and takes careful attention.
Short answer: 39
y = 7x - 3
f(x) = y = 7x - 3 Though there are some slight differences between f(x) and y, it is safe to say that f(x) acts (in this case) as a y value. So the question now is what does y(6) mean?
y(6) means exactly the same thing as what f(6) would mean. The both mean that where ever you see an x, put in a 6.
So y(6) means 7x - 3 = 7*6 - 3 = 39
Answer:
Step-by-step explanation:
4(0) + 3y=12
4x0=0
0+3y=12
3 x 4=12
y=4
