Answer:
I have no idea. : /
Step-by-step explanation:
Answer:
No invariant point
Step-by-step explanation:
Hello!
When we translate a form, in this case a polygon We must observe the direction of the vector. Since our vector is:
1) Let's apply that translation to this polygon, a square. Check it below:
2) The invariant points are the points that didn't change after the transformation, simply put the points that haven't changed.
Examining the graph, we can see that no, there is not an invariant point, after the translation. There is no common point that belongs to OABC and O'A'B'C' simultaneously. All points moved.
The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98)
98/100 x 9 = 882/100 or 8.82
Justin's house is 8.82 miles from the museum.
Answer:
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
A(0,-2), B(1,1)
Find the slope of AB
m=(1+2)/(1-0)=3
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=3
b=-2 - ----> the point A is the y-intercept
substitute
y=3x-2 - -----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
y\geq 3x-2
C(0,2), D(5,1)
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
m=(1-2)/(5-0)=-1/5
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1/5
b=2 ----> the point C is the y-intercept
substitute
y=-(1/5)x+2 -----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
y<-(1/5)x+2
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Answer:
Step-by-step explanation:
The equation of a line is given in the form 
Where
m is the slope with formula 
and
b is the y-intercept [y axis cutting point of line]
Given the two points (0, -2) and (6,0),
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Now, we find m using formula:
Now we have
Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:
Thus,
equation of line =
