There are three answers and they are: choice 2, choice 3, choice 5
======================================================
Further Explanation:
Choice 1 is false because the intersection of the altitudes of a triangle leads to the orthocenter.
----
Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)
----
Choice 3 is true. This is effectively the same as choice 5 below. The "perpendicular" aspect does not matter.
----
Choice 4 is false. Following the steps mentioned here will create an altitude line (see choice 1)
----
Choice 5 is true. To bisect something is to cut it in half. Let's say that point F is the midpoint of line segment CD. This means that line segment EF is one of the three medians of triangle CDE.
-------
edit update: I changed choice 3 from false to true
Find the sum of -3a and 5a -3
-3a + (5a-3)
2a-3
Answer:whaaaat?
Step-by-step explanation:
Part 1
<h3>Answer: 13</h3>
---------------------
Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
===========================================================
Part 2
<h3>Answer: -11</h3>
---------------------
Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.
6 3/14
Is the correct mixed number