Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Answer:
It is a vector space
Step-by-step explanation:
The set of all continuous functions C[0,1 ] defined on the interval [0,1] is a vector space
as proven below ( attached below is a required proof that it is a vector space )
The set checks out for additivity, scalar multiplication and associativity hence it is a vector space
Answer:
cotA. cos(30° - A) - sin(30° - A) = √3/2
⇔
Step-by-step explanation:
Omg I wish I can help but idol
Answer:
The correct option is:
Shaded region above dashed boundry line.
Step-by-step explanation:
The question is incomplete as the graphs are not given. Lets make the graph of the given function and you can match it with the options to see which is the solution.
We have been given the function:
y > |x + 4| - 1
This can be divided into two equations:
y > (x + 4) - 1 , y > -(x + 4) -1
Simplify both equations.
y > x + 4 - 1 , y > -x - 4 - 1
y > x + 3 , y > -x - 5
Graph both equations
The red region shows the first equation, the green region shows the second equation. The brown region satisfies the inequality.
Compare it with your graph to get the answer, i think it should shaded region above dashed boundry line