Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

We can then simplify:
 Given equation
 Given equation
 Combine y terms
 Combine y terms
 Add 2
 Add 2
 Divide by -11
 Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

 Substitute for y
 Substitute for y
 Distribute 8
 Distribute 8
 Add 16
 Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
 
        
             
        
        
        
Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
 V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r 
 V = 4/3 π7^3
Evaluate the exponent 
 V = 4/3 π 343 
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343. 
v= (4/3*343)π
v=1372/3π 
If we want an exact answer, multiply 1372/3 and pi 
v=1436.75504 
So, the volume is 1436.75504 or 1372/3 π cm^3 
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
<u>Equation of a circle</u>

where:
- (a, b) is the center
- r is the radius
From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear.  Therefore, a = -3  and  b = 2.
Substitute these values into the general form of the equation of a circle:


Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5.  Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:
⇒ radius (r) = 5 - 2 = 3
Substitute the found value of r into the equation:

Therefore, the final equation of the given circle is:

 
        
                    
             
        
        
        
Answer:
x=125
Step-by-step explanation:
all angles of a triangle add up to 180 degrees.
30+25=55
180-55=125
 
        
             
        
        
        
The answer would be 400$. This is because 40 x 10 = 400.