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Goryan [66]
3 years ago
5

Mrs.Conley can type 3 pages in one hour. How many hours will it take her to type a 123 page paper

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

123/3= 41

it will take her 41 hours

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Serrians triangle has a height of 3x-4 and the base length is 8x+4 what is the area of the triangle
kirill115 [55]
Area of a triangle is base × height ÷2
base=8x+4 x=-4/8 x=-1/2
height=3x-4 x=4/3

A=b×h÷2
A=(-1/2×4/3)÷2
A=(-4/6)÷2
A=(-4/6)÷2/1 to divide by fractions flip the second and multiply
A=-4/6×1/2
A=-4/12
A=-1/3
3 0
3 years ago
Make sure you complete the work for EACH triangle and answer whether or not it is a right triangle. * If you do this correctly I
zalisa [80]
I believe that triangle B and E are right triangles.
5 0
3 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
sergij07 [2.7K]

Answer:

The polynomial function is P(x) = x^4-35x^2+180x-416.

Step-by-step explanation:

A polynomial function is completely determined by its roots, up to a constant factor. So, if we want that x_1=4, x_2=-8 and x_3=2+3i be roots of the polynomial P, we can write it as

P(x)= (x-x_1)(x-x_2)(x-x_3)=(x-4)(x+8)(x-(2+3i)) = (x^2+4x-32)(x-(2+3i)).

Now, notice that the factor x^2+4x-32 has real coefficients, while the other one don't. So, we need to ‘‘eliminate’’ the complex coefficients that will appear.  This can be done adding other complex root to the polynomial: the conjugate of x_3: 2-3i. Then,

P(x) = (x^2+4x-32)(x-(2+3i))(x-(2-3i)).

Expanding the above expression we obtain the desired polynomial

P(x) = x^4-35x^2+180x-416.

Recall that P(x) must have three roots, and this implies that P has at least degree 3. As we had to add a new root in order to obtain real coefficients, the degree of P must be at least 4. With this reasoning we assure the minimal degree.

7 0
3 years ago
8. Find ab - c if a = 5, b = -12, and c = 60.
Romashka [77]

Answer:

8.) -120

9.) -5

10.) -1

Step-by-step explanation:

8.)  ab - c

     5(-12) - 60

     -60 - 60 = -120

9.)   -10 - (-7) + 2 (3 - 4)

      -3 + 2(-1)

      -3 + (-2) = -5

10.) Add all the numbers up then divide by how many numbers there are.

   

8 0
3 years ago
What is the answer to this?
Jlenok [28]

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

6 0
3 years ago
Read 2 more answers
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