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Anna71 [15]
4 years ago
13

What are the possible rational zeros of f(x)=x^4+2x^3-3x^2-4x+20?

Mathematics
1 answer:
Mice21 [21]4 years ago
8 0
Roots test tells us to take the factors of the 20 divided by the factors of the coefficient of the the first.  

factors of 20 are 1,2,4,5,10,20
factors of 1 are 1

so plus or minus 1/1, 2/1, 4/1, 5/1, 10/1, 20/1 are all possible rational zeros
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A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?
zvonat [6]
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

      i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

       ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2. 

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA)   150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°, 

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
4 0
4 years ago
Read 2 more answers
Hi can someone help me with these? 5 and 6 only though
cestrela7 [59]

Answer:

5) 2z - 15 = 9

2z.=9+15

2z =24

z =12

6) 4x-2 = 62°

4x=62°+2°

4x=64°

x=16

6 0
3 years ago
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Find the value of x.
ehidna [41]

Answer:

x = 25

Step-by-step explanation:

We know that the remaining angles add up to 90°, because the right angle (triangles have 180° total.)

2x + 15 + x = 90 | Given

3x + 15 = 90 | Combine x

3x = 75 | Subtract 15

x = 25

4 0
2 years ago
0.44 in scientific notation
babunello [35]
44x10^-2
or in other words
44 times 10 to the -2nd power
3 0
3 years ago
The sum of two consecutive odd numbers is 284. Find each number please.
Vlad [161]
We can solve this by finding one of the numbers first
Let the smaller number be y. 
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore, 
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141

Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143, 
Therefore, your answer is 141 and 143

8 0
3 years ago
Read 2 more answers
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