Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!
We have the point 4,6. 4 is the x, and 6 is the y.
Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.
Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.
So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!
The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²
Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.
So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.
So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²
Solving it out, we first need to work within the parenthesis. Can you solve it?
Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²
8²= 64
9²= 81
64+81 = 145.
So, the distance between point M and point M' would be 145 units
Hope this helps!
If it does not, please let me know so i can try to help!
Answer:
Volume of gumball without including its hollow core is 48347.6 cubic mm.
Step-by-step explanation:
Given:
Diameter of Gumball = 66 mm
Since radius is half of diameter.
Radius of gumball = 
Now We will first find the Volume of Gumball.
To find the Volume of Gumball we will use volume of sphere which is given as;
Volume of Sphere = 
Now Volume of Gumball = 
Also Given
Diameter of gumball's spherical hollow core = 58 mm
Since radius is half of diameter.
Radius of gumball's spherical hollow core = 
Now We will find the Volume of gumball's spherical hollow core.
Volume of Sphere = 
So Volume of gumball's spherical hollow core = 
Now We need to find volume of the gumball without including its hollow core.
So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.
volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 
Rounding to nearest tenth we get;
volume of the gumball without including its hollow core = 
Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.
Where is the genetic information found in eukaryotic cells?
NUCLEUS
Answer:
Step-by-step explanation:
According the Triangle sum theorem:
m<T + m<U + m<V =180
x + 2x + x + 80 = 180
solve: x=25
Therefore m<T = 25, m<U = 50, and m<V = 105