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.
We know, final dimension = initial dimension * dilation factor
= 3 * 1/5 = 0.6
& 6 * 1/5 = 1
In short, Your Answer would be Option D) <span>0.6 ft × 01 ft
Hope this helps!</span>
Dilation is either : enlargement or shirking.
Simply you multiply the ordered pair times the dilation vector (Origin-Centered)
D.F = dilation factor;
d.f = 5
C' = d.fC
when you multiply a constant times an ordered pair , it multiples into each of the pair.
C' = 5 ( -5 , 1 ) = ( -25, 5 )
In case you were asked for A' , B' (test yourself before checking)
A' = 5 (-4,3) = ( -20 , 15)
B' = 5 ( 2, 3 ) = ( 10, 15)
Dividing the dilated by the original pair results in the dilation factor
A'/A = (-20/15)/(-4,3) = 5(-4,3)/(-4,3) = 5
Answer:
x = (22/17), y= (79/17)
Step-by-step explanation:
Just substitute x = 2y - 8 into y = 9x - 7 and solve.
i think its 2.5 because 15/6= 2.5 so 2.5t=h and the equation is kt=h so 2.5 makes the most sense.
I hope this helps
