8×1+5×(1/10)+9×(1/1000)
8+5×(.1)+9×(.001)
8+.5+.009
Answer is 8.509
9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Answer:
b║f
c║e
Step-by-step explanation:
Given a diagram,
Lines b, c, d, e, f and a transversal line 'a'.
Here line 'b' makes an angle with line 'a' is 89.5° and line 'f' makes an angle with line 'a' is also 89.5° (180°-90.5° = 89.5°)
Since corresponding angles are same.
So, line 'b' is parallel to line 'f'.
And line 'c' makes an angle with line 'a' is 91.5° and line 'e' makes an angle with line 'a' is also 91.5° (180°-88.5° = 91.5°)
Since corresponding angles are same.
So, line 'c' is parallel to line 'e'.
Therefore,
b║f
c║e
That's the final answer.
Answer:
2/9 ÷ 4/3
Step-by-step explanation: