Step-by-step explanation:
3x-5=8x-60
55=5x
x=11
 
        
             
        
        
        
Step-by-step explanation:
sol;
 x+1=y...(1)
 3y-7=2x....(2)
or, 3(x+1)-72x [from (1)]
or, 3x+3-7=2x
or, 3x-2x=7-3
      x=4
now,
putting the value of x in (1)
y=x+1
  =4+1
  =5 
PR and SQ are the diagonal of PQRS.
 
        
             
        
        
        
Answer:
d. H0:  vs.
 vs.  
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  
On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.  
Null hypothesis : 
Alternative hypothesis:  
Or equivalently:
Null hypothesis : 
Alternative hypothesis:  
Other important thing is that on the alternative hypothesis we never can have the symbol equal.  
So on this case the best options is:
d. H0:  vs.
 vs.  
 
        
             
        
        
        
Speed=distance/time
distance=176km
time=2hr
speed=176km/2hr=88km/1hr
88kmph
        
             
        
        
        
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144