Answer:X=4
Step-by-step explanation:
Congruent triangles method
AB/DB=BC/EC
10-x+x/10-x=3+2/3
10/10-x=5/3
30=50-5x
30-50=-5x
-20=-5x
X=4
Answer: B) 16 cubic meters
Step-by-step explanation:
To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.
Take the cross product, then normalize the result.

This has norm

and so a unit vector orthogonal to both given vectors is

An equally correct answer would be the negative of this vector, since

.
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
What's the previous problem
Step-by-step explanation: