Use the Pythagorean theorem. a^2+b^2=c^2
16^2+31^2=x^2
Then take the square root. You cannot do this theorem without squaring all of the numbers and taking the square root.
Part A
The first thing we must do for this case is to rewrite both expressions.
We have then:
1/2 (7x + 48) = (7/2) x + 24
- [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
Answer:
We note that the first expression is greater than the second for all values of x.
Part B:
A new expression that is greater than both written expressions is:
(7/2) x + 25
For all values of x, this expression is always greater.
Answer:
(7/2) x + 25
Point-slope form is:
y - y1 = m(x - x1)
Parallel means same slope.
The slope of given line is 2/5, thus it must be slope of new line as well.
m = 2/5
y - 2 = (2/5)(x - (-4))
y - 2 = (2/5)(x + 4)
Answer:
No
Step-by-step explanation:
Number of feets per second of treasure chest = 20ft / s
Depth of ocean floor = - 4200
To know if chest will reach ocean depth in 3 minutes ; use the Relation :
Distance = speed * time
Time = 3 minutes = (3 * 60) = 180 seconds
Depth of chest after 180 seconds :
-20 * 180 = - 3600 feets
Hence, chest can't reach ocean floor in 3 minutes
-4200 feets is deeper than - 3600 feets
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92