Answer:
16
Step-by-step explanation:
Lets assume x is Elgas' age
And y is Alvins age
we know that alvin is 11 years younger than Elga which means,
x=y+11
and the sum of their age is 43
x+y=43
solve it and you get 16
Answer:
z=3
Step-by-step explanation:
4(z+6)-11=25
add 11 to both sides
4(z+6)-11+11=25+11
simplify
4(z+6)=36
divide each side by 4
(4(z+6))/4=36/4
Simplify
z+6=9
subtract 6 from each side
z+6-6=9-6
simplify
z=3
Total distance from w to z is -10 to 6 = 16
Add the ratios: 2 + 3 + 3 = 8
Divide distance by total ratio: 16/8 = 2
Multiply each ratio by 2 : 2x 2 = 4, 3 x 2 = 6, 3 x 2 = 6
WX is 4 units apart, add 4 to -10 to get x = -6
Answer: A. -6
Answer:
This statement is "TRUE".
Step-by-step explanation:
Every elementary row operation is reversible. You can get the reverse answer by multiplying by a constant or by multiplying by its inverse. You can add one row to another row and subtract row 1 from row 2 to get it back.
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
