Answer:
Approximately 7.8 units
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.
B is (-5,6). Let's let this be x₂ and y₂. So, substitute:
Simplify:
Square:
Add:
Take the square root. Use a calculator:
So, the distance between them is about 7.8 units.
And we're done!
Answer:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
- The amount invested in 9% will be "x".
- The amount invested in 6% will be "
".
Now,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Answer:
4 and 9 hundreths
Step-by-step explanation:
As given he made 3/5 of basket he shot.
So we can find number of basket made by Everett equal to 3/5 of total number of shot .
So if total number of shot is 60.
Then the number of basket made by Everett =
of 60.
So the number of basket made by Everett in 60 shots = 36.
Let point A(-2,4) = A (X1,Y1)
point B( 1,3 )= B (X2,Y2)
point C(4,-1) = C (X3,Y3)
and point D(?, ?) = D (X4,Y4) We have to find this point
To find X4 we have to use the formula:
X2-X1=X3-X4
Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4 divide both sides by -1
X4=1
Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4
Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0
Now we have found the coordinates of the point D, which is (1,0)
Hope this helped!
