Answer:
A. cd4
Step-by-step explanation:
Answer:
j-4 is how you show 4 less than a number j
Answer:
The movie costs $3.50 and the video games cost $5.
Step-by-step explanation:
a = 1 movie
b = 1 video game
2a + 5b = $32
8a + 3b = $43
2a x -4 = -8a
5b x -4 = -20b
32 x -4 = -128
8a + 3b = $43
- 8a + 20b = $128
--------------------------------
-17b = -85
17b = 85
/17 /17
b = 5
2a + 5(5) = 32
2a + 25 = 32
- 25 = -25
----------------------
2a = 7
/2 = /2
a = 3.5
a = $3.50
b = $5
Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).
At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.
You can also go through vector calculus to arrive at the same result.
Answer: The correct option is D, i.e., 15 units.
Explanation:
It is given that the length of segment TR can be represented by 5x-4.
From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,



The value of x is 3, so the length of side RV is,

In triangle TRS and angle VRS,
TR=VR

RS=RS (common side)
By SAS rule of congruence triangle,

Therefore the side TS and VS are congruent sides.
From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.

Hence, the length of side VS is 15 units and option D is correct.