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!
37/11 is correct just multiply 3*11 and add four
Answer
Step-by-step explanation:
One solution :
x = -1/3 = -0.333
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-5*(3*x+1)+4*x-(10*x+2)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((0 - 5 • (3x + 1)) + 4x) - (10x + 2) = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-21x - 7 = -7 • (3x + 1)
Equation at the end of step 3 :
-7 • (3x + 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : -7 = 0
Answer:
374/105.
Step-by-step explanation:
1/3 of 8 * 2/7
= 1/3 * 8 * 2/7
= 8/3 * 2/7
= 16/21.
2/5 of 7
= 2/5 * 7
= 14/5.
Adding 16/21 + 14/5
= 80 / 105 + (14*21) / 105
= 80/105 + 294/105
= 374/105.
Answer:
The answer is the 2nd option
Step-by-step explanation:
