Answer:
From least to greatest: -2, 2/3
Step-by-step explanation:
Set each factor equal to 0 and solve
2x + 4 =0
2x = -4
x = -2
3x - 2 = 0
3x = 2
x = 2/3
The solutions are -2 and 2/3
Answer:
D
Step-by-step explanation:
Hope this helped!
Answer:
10/7 feet
Step-by-step explanation:
Let e = Ethan
k = Kayla
The following equations can de derived from the equation :
1/2 e = 2/3k
multiply both sides of the equation by 2
e = 4/3k --- 1
e + k = 10 --- 2
Substitute for e in equation 2
4/3k + k = 10
7/3k = 10
multiply both sides of the equation by 3/7
k = 30/7
Substitute for k in equation 1
e = (4/3) x 30/7 = 40/7
difference in length = 40/7 - 30/7 = 10/7
Answer:
Step-by-step explanation:
Since the equation is parallel, this means that the slope remains the same which is 0.5.
The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.
When solving for b, it will equal to -5.
Therefore the new equation that is parallel is
Answer: y = 6 mi. .
______________________________________________
Explanation:
______________________________________________
Area of a triangle = (½) * (base) * (height) ;
or, A = (½) * b * h ; or, A = b*h / 2 ;
_____________________________________
Given: A = 24.3 mi ² ;
b = 8.1 mi
___________________
Find the height, "h" ; (in units of "miles", or , "mi" ).
__________________________
Plug in the known values into the formula:
24.3 mi ² = (½) * (8.1 mi) *(h) ;
_____________________________
Solve for "h" (height) ;
_____________________________
(½) * (8.1 mi) = 4.05 mi ;
______________________________
Rewrite:
____________________________
24.3 mi² = (4.05 mi) *(h) ; Solve for "h" ;
_________________________________________
Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ;
__________________________________________
24.3 mi² / 4.05 mi = (4.05 mi) *(h) / 4.05 mi ;
→ 6 mi = h ; ↔ h = 6 mi.
→ h = y = 6 mi.
____________________________________________
