Distribute the - which changes the signs in the second parenthesis.
2t^3 + 3t - 4 - 4t^2 + 6t
Combine like terms, must have same exponent. Write in order of degree.
2t^3 - 4t^2 + 9t - 4
None of your options, not via complete the square nor quadratic the formula.
Solve for x over the real numbers:
x^2 + 8 x + 9 = 0
x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2
sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2
(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)
(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:
Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________
Solve for x:
x^2 + 8 x + 9 = 0
Subtract 9 from both sides:
x^2 + 8 x = -9
Add 16 to both sides:
x^2 + 8 x + 16 = 7
Write the left hand side as a square:
(x + 4)^2 = 7
Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)
Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)
Subtract 4 from both sides:
Answer: x = sqrt(7) - 4 or x = -4 - sqrt(7)
<span>h > t, u < t
can be written together either of these two ways:
u < t < h
or
h > t > u
And it could be any of these 120 numbers:
210 310 320 321 410 420 421 430 431 432 510 520
521 530 531 532 540 541 542 543 610 620 621 630
631 632 640 641 642 643 650 651 652 653 654 710
720 721 730 731 732 740 741 742 743 750 751 752
753 754 760 761 762 763 764 765 810 820 821 830
831 832 840 841 842 843 850 851 852 853 854 860
861 862 863 864 865 870 871 872 873 874 875 876
910 920 921 930 931 932 940 941 942 943 950 951
952 953 954 960 961 962 963 964 965 970 971 972
973 974 975 976 980 981 982 983 984 985 986 987
</span>
Answer:
B. 200
Step-by-step explanation:
A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.
Non perfect square numbers are 1*2=2,
3*1=3,
5*1=5,
3*2=6,
6*1=6,
7*1=7
Examples of perfect squares:
1*1=1
2*2=4,
3*3=9,
4*4= 16,
5*5=25,
6*6=36,
7*7=49,
8*8=64,
9*9=81,
10*10=100,
11*11=121,
12*12=144,
13*13=169,
14*14=196,
15*15=225 and so on
Firstly, we will select three corner points
A=(2,3)
B=(6,8)
C=(7,4)
we are given
the transformation with the rule (x, y)→(x, −y)
y--->-y
so, it is reflected about x-axis
so, we will multiply y-value by -1
we get new points as
A=(2,-3)
B=(6,-8)
C=(7,-4)
now, we can locate these points and draw graph
we get
