Step-by-step explanation:
the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).
the 0.4 factor compresses it by the factor 0.4
the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.
Assuming x represents the length of the first side.
Use Pythagorean theorem to solve: a^2 + b^2 = c^2
Solve the quadratic equation using the quadratic formula.
At the end, you will get side lengths of #(-14 ± 34) / 4, or -12 and 5
SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.
The formula for area of a right triangle is A = B H/2
After doing your work you should get. 30cm^2
Answer:
a.
b.
Step-by-step explanation:
We are given that
a.Substitute z=0
...(1)
..(2)
Subtract equation (1) from equation (2)
Substitute y=0 in equation(1)
The point (6,0,0) lie on a line.
Let 
Therefore, the vector 
Line is parallel to vector a' and passing through the point (6,0,0).
The parametric equation is given by
Using the formula
The parametric equation is given by
Angle between two plane
and 
Using the formula
Where 
in degree.
Just do 10×8 and you'll get the answer and the green is 24 If you count
Answer:
A: y < -2x - 1
Step-by-step explanation:
First, to figure out which part of the graph to be looking at, you will look at the shaded region as the solution area.
So, the solution area is to the left of the line. Said line is a dotted line which means that the points on the line can not be a solution.
If the points on the line can not be a solution then it eliminates answer choices C and D because y can not equal the other side of the inequality.
Now, we will bring the shaded region back into focus to find out if y is greater than or less than the other side. The shaded area is "below" the line so it is less than -2x - 1.
To ensure this is correct, plug two points into the inequality we just chose, one from the shaded region and one not, just to make sure the answer is correct.
I picked (-3,4) to test. So plug them into the inequality to get:
4 < -2 (-3) - 1
So 4 < 6 - 1 which is correct.
Then from the other side of the line I picked (5,2)
2 < -2 (5) - 1
2 < -10 - 1
2 < -11 is not true so the inequality that we found was correct.
