<span>1. 10 square units.
2. 16.9 units
1. The area of a triangle is 1/2bh where b is the base and h is the height of the triangle. Any of the 3 sides of the triangle may be the base. So looking at the 3 points, I'll consider the line segment DE to be the base since both D and E have an X value of 3, so the length of the base is 3 - (-1) = 4. Since the base of the triangle is a vertical line with X = 3, the height of the triangle will be the absolute value of the X value of vertex F minus 3. So abs(-2 - 3) = abs(-5) = 5. We now have a base of 4 and height of 5 and using the 0.5bh formula, that gives us 0.5 * 4 * 5 = 10.
2. I'll call the points A(-2,-2), B(3,-3), C(4,-6), D(1,-6), and E(-2,-4). Using the pythagorean theorem, we can calculate the length of each side. SO
length AB = sqrt((-2 - 3)^2 + (-2 - (-3))^2) = sqrt(-5^2 + 1^2) = sqrt(25 + 1) = sqrt(26) = 5.099
length BC = sqrt((3 - 4)^2 + (-3 - (-6))^2) = sqrt(-1^2 + 3^2) = sqrt(1 + 9) = sqrt(10) = 3.162
Do the same for the lengths of CD, DE, and EA getting 3.000, 3.606, and 2 respectively.
Now just add them together. So
5.099 + 3.162 + 3.000 + 3.606 + 2.000 = 16.867, which rounds to 16.9</span>
PEMDAS
(Parenthesis, Exponents, Multiplication and Division, Adding and Subtracting)
Answer:
300 min divided by 5 hours is the answer.
Explanation:
1 hour is the same as 60 min. (1×60=60min)
so 5 hours is the same...( 5×60=300min)
Yes because for every x value there is only one y value that corresponds it that being said y values can be repeated but only x values can not
Answer:
Step-by-step explanation:
The domain is an x thing. We are being asked to determine what x values to function takes on. We see that the blue dot on the left is at the x-value of 2. It doesn't go any farther to the left of 2. Since the dot is closed, the inequality symbol will have the "equal to" line underneath.
The function then continues along the x axis and stops at 5, closed hole. This means that the function does not go past the x value of 5 but it is included in our domain.
2 ≤ x ≤ 5. That is choice B.