Let the first integer be x, then:-
2 (x + x+ 2) = 3(x + 6) + 14
4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28
the four integers are 28,30,32 and 34.
Answer is: 32 nickels and 23 dimes.
<span>x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
</span>nickel is a five-cent coin.
dime is a ten-cent coin.<span>
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05</span>·(55 - y) + 0,1y = 3,90<span>2,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.</span>
Its like x² + 4x +20 = 0,
x = [-4 + √[(4²) - (4*1*20)]]/(2*1) = [-4 + √(16-80)]/2 = [-4 + √(-64)]/2 = [-4 + 8√(-1)]/2 = -2 + 4i,
x = [-4 - √[(4²) - (4*1*20)]]/(2*1) = [-4 - √(16-80)]/2 = [-4 - √(-64)]/2 = [-4 - 8√(-1)]/2 = -2 - 4i,
here i = √(-1), its a complex number.
so solution is a complex number,
x = -2 - 4i & -2 + 4i.
Answer:
The correct option is 3. The image of X is X'(6,2).
Step-by-step explanation:
means the dialation by scale factor 2 and the center of dilation is Z.
If a figure dilated by scale factor k and the center of dilation is (a,b), then
From the given figure it is clear that the coordinates of X are (4,0) and the coordinates of Z are (2,-2), so the coordinates of image are
The image of X is X'(6,2). Therefore the correct option is 3.
Answer:
Step-by-step explanation:
p = 0
q = 1
