9514 1404 393
Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
Answer:
1=point
2=line
3=line
4=line segment
5=ray
6=plane
7=plane
Step-by-step explanation:
Answer:
The correct answer is :
1. Line PQ (One line PQ).
Step-by-step explanation:
The first step to solve this question is to draw the plane A with the points P and Q lying on it.
We know that given two different points there is only one line that contains this two different points.
Let's analyze each option.
''2. Lines PQ and QP''
This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.
''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''
This option is assuming that exist three lines that contain P and Q. This option is also wrong.
''1. Line PQ''
This option is correct. It will be clarify with the drawing I will attach.
''We can't name them all!''
This option is assuming that exist infinite lines that contain P and Q. This option is wrong.
In the drawing I call the line that contains P and Q as line L.
Given that P and Q lie in plane A necessarily the line L must lie on the plane A.
29 and 100 do not have any common factors, so leave it alone, you cannot simplify it any more.
29/100 is the fraction, 0.29 is the decimal.
Answer:
Dimension of the extended stage is; length = 6 m and width = 2x m
Step-by-step explanation:
Area of the rectangular outdoor = length x width
New area = area of the outdoor + area of the extended stage
= 216 + 12x
= 6(36 + 2x)
New area = 6 (36 + 2x)
So that;
The dimension of the rectangular outdoor = 36 x 6
i.e length = 36 m and width = 6 m
So that the dimension of the extended stage = length x width
= (6 x 2x) m
i.e length = 6 m and width = 2x m
