The angle addition postulates states that if an angle UVW has a point S lying in its interior, then the sum of angle UVS and angle SVW must equal angle UVW, or ?UVS + ?SVW= ?UVW.

8 0

2 years ago

Find the polynomial equation of least degree with roots -1, 3, and (+/-)3i

jasenka [17]

Each of these roots can be expressed as a binomial:

(x+1)=0, which solves to -1
(x-3)=0, which solves to 3
(x-3i)=0 which solves to 3i
(x+3i)=0, which solves to -3i
There are four roots, so our final equation will have x^4 as the least degree

Multiply them together. I'll multiply the i binomials first:
(x-3i)(x+3i) = x²+3ix-3ix-9i²
x²-9i²
x²+9 [since i²=-1]

Now I'll multiply the first two binomials together:
(x+1)(x-3) = x²-3x+x-3
x²-2x-3
Lastly, we'll multiply the two derived terms together:

(x²+9)(x²-2x-3) [from the binomial, I'll distribute the first term, then the second term, and I'll stack them so we can simply add like terms together]

x^4 -2x³-3x²
 +9x²-18x-27
x^4-2x³+6x²-18x-27

7 0

2 years ago

Kristen is making accessories for the soccer team. She uses 595.56 inches of fabric on headbands for 39 players and 3 coaches. S

11111nata11111 [884]

Answer:

22.99 inches

Step-by-step explanation:

According to problem, given data are as follows:

Fabric used for headband = 595.56 inches

Number of headbands made = 39 + 3 = 42

So, Fabric used per headband = 595.56 ÷ 42 = 14.18 inches per headband

Similarly, Fabric used for wristband = 343.59 inches

Number of wristbands made = 39

So, Fabric used per wristband = 343.59 ÷ 39 = 8.81 inches per wristband

So, Fabric used for each player = 14.18 inches + 8.81 inches

= 22.99 inches

3 0

3 years ago

Subtract and simplify.

Anton [14]

Look at the attached picture⤴

Hope this will help u...

4 0

3 years ago

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