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crimeas [40]
3 years ago
8

Determine the length of side b in each of the triangles below

Mathematics
1 answer:
olga55 [171]3 years ago
3 0
The pathagerom theory a2+b2=c2
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Write a polynomial f(x) that satisfies the given conditions.
patriot [66]

Answer:

f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1

Step-by-step explanation:

Recall, if we have a polynomial of the form (x-a)^k \cdot (x-b)^m, then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form (x+5)^10(x-2)^3 -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial,  just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

f(x)=(x-a)(x-b)^2).

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2.

Which implies that 1 = a\cdot b^2. Since the square of any number is a positive number, it must happen that a>0. So, we have that

b= \pm \sqrt[]{\frac{1}{a}}.

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1

which we can easily check that f(0)=-1.

6 0
4 years ago
SHOW WORK...
love history [14]

ssdsdsdsaouasdudsapisahsaoidhdsihdsaadsidsAnswer:

sdnsjdasduyiwop[ojhbnvc

Step-by-step explanation:

6 0
3 years ago
5 x 7/10= the product lies between ____ and ___.
Korolek [52]
5 * 7/10 = 3.5 So Between 3 & 4
8 0
4 years ago
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What is the slope of y=-5x-1
Lynna [10]

Answer:

5

Step-by-step explanation:

~Hope this helps!

Krystal~~

3 0
3 years ago
A school bus has 12 rows of seats and 4 s students can be seated in each row how many students are riding the bus if 11 Rosenfel
Mashutka [201]
4 students in each row (key word "each" meaning multiply) since there are only 11 rows completely filled that means you multiply 4 and 11 which equals 44, plus the 2 students in the 12th row equals 46.
4×11=44+2=46
4 0
3 years ago
Read 2 more answers
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