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Lorico [155]
3 years ago
6

How many ways are there to travel in xyz space from the origin (0, 0, 0) to the point (4, 3, 5) by taking steps one unit in the

positive x direction, one unit in the positive y direction, or one unit in the positive z direction? (moving in the negative x, y, or z direction is prohibited, so that no backtracking is allowed.)?
Mathematics
1 answer:
Virty [35]3 years ago
5 0
I would think you would have to walk the 4 spaces out on the X axis. I would then turn and walk 5 spaces on the Z axis before turning up to walk the last 3 steps on the Y axis.

I think any other way would cause you to move in a negative direction. I hope this helps.
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Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?
blsea [12.9K]

Answer:

(x+4)^2 + (y-9)^2 = 25

Step-by-step explanation:

We can use the equation (x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5

(x- -4)^2 + (y-9)^2 = 5^2

(x+4)^2 + (y-9)^2 = 25

3 0
3 years ago
What is the answer to 7x+5-8x
Svet_ta [14]
Combine like terms. Remember that like terms are terms that are completely the same excluding the coefficient.

7x-8x=-1x

Final answer: -x+5
8 0
3 years ago
For which values of x is the function
max2010maxim [7]

Answer:

x = - 5, x = - 11

Step-by-step explanation:

Given

y = \frac{x+4}{(x+5)(x+11)}

The denominator cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the values that x cannot be, that is

(x + 5)(x + 11) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 11 = 0 ⇒ x = - 11

Thus

x = - 11 and x = - 5 are excluded values.

4 0
3 years ago
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system y=
Sliva [168]

Answer:

Is that simultaneous equation

6 0
3 years ago
Read 2 more answers
Help me find y and z? Thanks!
Genrish500 [490]
There is 180deg in a half circle, and 360deg in a full circle.  complementary angles complete a half circle perfectly.
angle z is complementary to 111deg.  
z= 180 - 111= 69deg
z= 69deg
There are 360 total degrees in the figure because it makes one total revolution.
y= 360- 69- 94- 88
y= 109deg
Check - 109 +69 +94 +88= 360
6 0
3 years ago
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