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velikii [3]
4 years ago
8

What is the slope between the points (0,-3) and (-6, 7)?

Mathematics
1 answer:
goblinko [34]4 years ago
3 0

Answer:

-5/3

Step-by-step explanation:

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The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =
andrey2020 [161]

we have

f(x)=x^{2}-2x-3

Find the roots

Equate the function to zero

x^{2}-2x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}-2x=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}-2x+1=3+1

x^{2}-2x+1=4

Rewrite as perfect squares

(x-1)^{2}=4

Square root both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

therefore

<u>the answer is</u>

x=3

5 0
3 years ago
Read 2 more answers
the length of a rectangle piece of paper is 20 cm and the breadth is 10 cm. if this paper has to be separated into square shaped
luda_lava [24]
The best way ( meaning, the way that results squares with the biggest areas ) is to cut it in 2 squares with the lenght of 10cm. Then, the area is 10*10 cm = 100 cm^2

Why cut it like this? We find the highest number that divides both 20 and 10, in this case it's 10. Then, we can cut squares with the lenght of 10 cm. But we have a rectangle with the area of 20*10=200 cm^2 , and we cut squares of 10*10=100cm^2. 200/100=2. So we cut 2 squares Also, you could say that it's because the simmetry line cuts the rectangle in 2 other simetrical rectangles, which in this case, happen to be squares.
5 0
4 years ago
In a week, 12 hands laid 72 eggs. What is the unit rate for eggs per hen?
9966 [12]
The answer is 6 eggs per hen. You divide 72 by 12 to get 6. Hope it helps.
7 0
3 years ago
Use the long division method to find the result when 6x^3 + 19x2^2 + 17x + 3 is
skelet666 [1.2K]

Answer:

\frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3}  \ = \ 3x^2 \ + \ 5x \ + \ 1

Step-by-step explanation:

Given;

F(x) = 6x³  +  19x²   +   17x   +  3

Factor of F(x) = 2x + 3

Using long division method;

                                   3x²  + 5x  +   1

                                 ------------------------------------

               2x + 3    √  6x³  +  19x²   +   17x   +  3

                             -  (6x³   +   9x²)

                                ----------------------------------------

                                               10x²    +    17x   +  3

                                          -   (10x²     + 15x)

                                             -------------------------------

                                                                  2x   +  3

                                                               - (2x   +  3)

                                                                 ---------------

                                                                         0

Thus, \frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3}  \ = 3x^2 \ + \ 5x \ + \ 1

                       

8 0
3 years ago
Daniela needs to cut a rectangular hole in a wall where a new window will be installed. The window will be 4 feet high and 3 fee
BlackZzzverrR [31]

Answer:

Measure the diagonals, they should be 5 feet (3,4,5 triangle).

Step-by-step explanation:

As a more general answer, the diagonal measurements of ANY rectangle will be equal. You can calculate the correct measurement using A^2 + B^2 = C^2. A and B are the lengths of the sides and C is the length of the diagonals.

8 0
4 years ago
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