Answer:
y = x + 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.
Then, plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-4 = 1(-9) + b
-4 = -9 + b
5 = b
Plug in the slope and b into y = mx + b:
y = 1x + 5
y = x + 5
So, the equation of the line is y = x + 5
If they're less than 3 and nonzero, that only gives you 1 and 2 as possibilities. <span />
Answer:
option A is correct.(Every plane must have three intercepts.)
Step-by-step explanation:
" Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension "
The intercept form of the equation of plane in 3-D is given by:
Where l,m,n are intercepts of x,y,z axes and a plane respectively.
Hence, we require all the three intercepts of a every plane.
Hence, option A is correct.
With questions like these, I like to use a system of operations my teacher told me.
First, we have to identify what the question is asking us to find. The question is asking us to find how many bouquets a florist makes per day (which is in one day).
Then, we have to find information that will help us answer the question. She makes 215 bouquets is 5 days.
Now, you put it together!
If she makes 215 bouquets in 5 days, and we need to find out how many she makes in 1 day, we need to divide 215 by 5!
215 / 5 = 43.
The florist makes 43 bouquets per day!
1. -6y
2. 4y+20
3. -6x+6y+4
4. 3x-44
5. •work:
•plug in 4 to the equation
5(2-4)=-10
10-20=-10
-10=-10
•so, yes it is a solution to 5(2-x)
6. •work:
4x+20=0
-20 -20
4x=-20
4x/4=-20/4
x=-5
7. •work:
5x-3=2x-27
-2x -2x
3x-3=-27
+3 +3
3x=-24
3x/3=-24/3
x=-8
8. •work:
6x-8=2x+16
-2x -2x
4x-8=16
+8 +8
4x=24
4x/4=24/4
x=6
9. •work:
12-3x=22+2x
-2x -2x
12-5x=22
-12 -12
-5x=10
-5x/-5=10/-5
x=-2
10. •work:
x+7x-12=-20
8x-12=-20
+12 +12
8x=-8
8x/8=-8/8
x=-1
11.•work:
7x+4-13x=-1+23
-6x+4=-1+23
-6x+4=22
-4 -4
-6x=18
-6x/-6=18/-6
x=3
here you go! hope this helped!! :)
