That question probably meant how far are the two distances.
One way to solve this problem is by using the distance formula which you can search up.
and so the answer is d=13. D is distance
<h3>
<u>Explanation</u></h3>
- Solve the equation for s-term.
![- 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10](https://tex.z-dn.net/?f=%20-%204s%20%3D%20%20-%2010%20-%205s%20%5C%5C%20%20-%204s%20%2B%205s%20%3D%20%20-%2010%20%5C%5C%20s%20%3D%20%20-%2010)
- Answer Check by substituting s = -10 in the equation.
![- 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}](https://tex.z-dn.net/?f=%20-%204%28%20-%2010%29%20%3D%20%20-%2010%20-%205%28%20-%2010%29%20%5C%5C%2040%20%3D%20%20-%2010%20%2B%2050%20%5C%5C%2040%20%3D%2040%20%5C%3A%20%20%5C%3A%20%20%20%5Ctiny%20%5Cboxed%7B%20%20%5Cgreen%20%5Ccheckmark%7D)
<u>No</u><u> </u><u>Solutions</u>
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
<u>One</u><u> </u><u>Solution</u>
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
<u>Infinitely</u><u> </u><u>Many</u><u> </u><u>Solutions</u>
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
<h3>
<u>Answer</u></h3>
- Because we can solve the equation for s-term. Therefore the answer is <u>one</u><u> </u><u>solution</u>
Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
Answer:
2143.57 units³
Step-by-step explanation:
Volume = (4/3) × 3.14 × 8³
= 2,143.5733332992