To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.
<h3>How you would draw the median of the triangle from vertex A?</h3>
Recall that B = (3, 7)
and C = (-4, -5).
- Note that when you are given coordinates in the format above, B or C = (x, y)
- Hence the mid point of line BC is point D₁ which is derived as:
D₁ 
, ![(\frac{7-5}{2}) ]](https://tex.z-dn.net/?f=%28%5Cfrac%7B7-5%7D%7B2%7D%29%20%5D)
- hence, the Median of the Vertex A = (-1/2, 1).
Connecting D' and A gives us the median of the vertex A. See attached graph.
<h3>What is the length of the median from C to AB?</h3>
Recall that
A → (4, 2); and
B → (3, 7)
Hence, the Midpoint will be
, ![(\frac{2+7}{2} )]](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%2B7%7D%7B2%7D%20%29%5D)
→ 
Recall that
C → (-4, 5)
Hence,
= ![\sqrt{[(-4 -\frac{7}{2} })^{2} + (-5-\frac{9}{2} )^{2} ]](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28-4%20-%5Cfrac%7B7%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20%2B%20%28-5-%5Cfrac%7B9%7D%7B2%7D%20%29%5E%7B2%7D%20%5D)
Simplified, the above becomes
= √(586)/2)
= 24.2074/2
= 12.1037
The length of the Median from C to AB ≈ 12
Learn more about Vertex at;
brainly.com/question/1435581
#SPJ1
Answer:
Her account balance after 5 years is $8702.87
Step-by-step explanation:
1500 (1.05) = 1575 --> after one year
1575 + 1500 = 3075
3075 (1.05) = 3228.75 --> after two years
3228.75 + 1500 = 4728.75
4728.75 (1.05) = 4965.1875 --> after three years
4965.1875 + 1500 = 6465.1875
6465.1875 (1.05) = 6788.44688 --> after four years
6788.44688 + 1500 = 8288.44688
8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
Answer:
The last one.
Step-by-step explanation:
Because it is being multiplied in parathenses it means that both the numbers would have to be multiplied.
40 out of 250 students speak French: 40 / 250 = 0.16
Multiply the number of students surveyed by 0.16:
30 x 0.16 = 4.8
Round up to 5 students.
Answer 5 students
