Answer:
Step-by-step explanation:
(A) The given statement is:A square is a parallelogram-------A square is always a parallelogram (By properties of parallelogram)(B) The given statement is:A rectangle is a trapezoid----------A rectangle is never a trapezoid.(C) The given statement is:A rhombus is a square--------A rhombus is sometimes a square.(D) The given statement is:A quadrilateral is a kite--------A quadrilateral is sometimes a kite.
When you plot the given points on a coordinate plane, you can see this is an ellipse that is vertical. The equation for this is
. Of the values a and b, a is always greater than b, so it is on our major axis, the y-axis (it's under the y-k). a is the distance from the center to the vertices. When you plotted those given points, you can see that point dead center between the foci and the vertices is the origin (0, 0). That gives us our h and k values of 0 and 0. a is the number of units from the h coordinate of 0 to the y coordinate of the vertex, so a = 12. c is the number of units from the center to the foci, so c = 11. We need to find b now using the formula for the foci which is
. We have c and a, so
and
. Now we have all the info we need to rewrite the equation:
or, simplified,
Let
x = first odd integer
x + 2 = second odd integer
x + 4 = third odd integer
x + 6 = fourth odd integer
x + (x + 2) + (x + 4) + (x + 6) = -200
4x = -200 - 2 - 4 - 6
4x = -212
x = -53
Therefore, the four consecutive integers are -53, -51, -49, -47.
Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1
____
If an exponent has any arithmetic in it, parentheses are needed around it.
Answer:
1. no. 2. yes. 3. no. 4. yes. 5. yes.
Step-by-step explanation:i'll explain how to identify integers.
The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. For example, -5 is an integer but not a whole number or a natural number. ... Integers are numbers that do not have a fractional part, including positive and negative numbers and zero. Whole numbers are positive integers and zero. Natural numbers are positive integers and are sometimes called counting numbers. tell me if you need me to explain more.