Answer: (x³ - 2x² - 11x + 12)
Step-by-step explanation:
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:
(x - 1)(x + 3)(x - 4)
Now, if you multiply the first two factors together, you get the following:
(x² + 2x - 3)
Multiply that by the last factor, (x - 4), and you get this:
(x³ + 2x² - 3x - 4x² - 8x + 12)
This can be simplified:
(x³ - 2x² - 11x + 12)
And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)
36/48 do the math and you will get some thing similer
Answer:
x = 18
mZT = 71º
Step-by-step explanation:
Complementary angles total 90º
(3x + 17) + 19 = 90
Subtract 19 from both sides
3x + 17 = 71
mZT = 71º
Subtract 17 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer:
1. ║u-z║= 5.66
2.║v-w║=6.0
3. ║w-u║=6.08
4.║v-u║=7.81
Step-by-step explanation:
The vectors are given as;
u = <-1, -3>, v = <5,-8>, w = <5, -2>, and z = <3, 1>.
To find the magnitude of the vectors;
1. ║u-z║
<-1 - 3> = <-4 and < -3 - 1> = <-4
║<-4,-4> ║= √{ -4²+-4²} = √32 = 5.66
2.║v-w║
<5,-8> - <5,-2>
<5-5> , <-8--2>
<0,-6>
║<0,-6>║= √{0²+ -6²} = √36 = 6
3. ║w-u║
<5,-2> - <-1,-3>
<5--1> , <-2--3>
<6,1>
║6,1║= √{6²+1²} = √36+1 = √37 = 6.08
4.║v-u║
<5,-8> - <-1,-3>
<5--1> , <-8--3>
< 6 , -5 >
║6,-5║= √{6²+-5²} = √36+25 =√61 = 7.81
75%
500-125 is 375
375/500 gives 3/4 which is .75
move the decimal over to the right twice to get 75%
