Answer:
x equals -1 and it also equals -13. They are both considered the roots.
Step-by-step
- (x+6)^2= 49 to get rid of the exponent square root each side of the equation.
- (x+6)= √49 Find square root of 49.
- (x+6)= ±7 It could be positive 7 or -7 because both of them squared equal 49. Now solve for each possible equation, (x+6)= 7 and (x+6)=-7.
- (x+6)=7 subtract 6 from each side.
- x= 1
- (x+6)=-7 Subtract 6 from each side.
- x=-13
- So the answers are -13 and 1.
Consecutive integers are 1 apart
so the 4 are
x, x+1,x+2,x+3
they add to 8
x+x+1+x+2+x+3=8
4x+6=8
minus 6 both sides
4x=2
divide both sides by 4
x=1/2
false, 1/2 is not an integer
if it was adding to 18, then the integers would be 3,4,5,6
but we can't find consecutive integers that add to 8
Answer:
3.5/10 taller
Step-by-step explanation:
3/4 is 0.75 and 4/10 is 0.40
0.75-0.40=0.35
0.35 can also be written as 3.5/10 or 35/100
Answer:
Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula : 
Substitute the values in formula
So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :
Length of radius = r = 
Standard form of the equation of the circle : 
(h,k )=(-1,3.5)
Equation of the circle : 
Equation of the circle :
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is
=sin30cos60 + sin60cos30
=(1/2)(1/2) + (√3/2)(√3/2)
=1/4 + 3/4
=1+3/4
=4/4
=1
