M’ = (-7, 3)
T’ = (0, 8)
H’ = (-7, 8)
A’ = (0, 3)
Hope this helps :)
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)
Solve for <em>a</em> :
1 = -7 / (-2<em>a</em>)
1 = 7/(2<em>a</em>)
2<em>a</em> = 7
<em>a</em> = 7/2
Answer:
He will need $18.
Step-by-step explanation:
All you have to do is subtract $93-$75.
Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:


For angle θ:
- If x > 0 and y > 0:
;
- If x < 0:
; - If x > 0 and y < 0:
;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17


The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ = 
c) (√2,1,1)
= 2

= 

d) (−2√3,−2,3)
= 5

Since x < 0, use 2nd option:



Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:

Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
= 

z = -4
b) (0, 8, 15)
= 8

z = 15
c) (√2,1,1)
= 

z = 1
d) (−2√3,−2,3)
= 4

z = 3