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Kisachek [45]
4 years ago
7

What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?

Mathematics
1 answer:
adell [148]4 years ago
5 0

Hi,

Answer:

Angle=\frac{pi}{4} = π/4 = 45°

Have a good day.

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Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Luda [366]

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

6 0
3 years ago
En una pizzeria se hicieron 8 docenas de pizzas. La tercera parte se vendio en el local y las cinco octavas partes son para envi
11111nata11111 [884]

Answer:

32 pizzas

60 pizzas

1/24

Step-by-step explanation:

Se hicieron 8 docenas de pizzas.

Una docena es 12, por lo tanto, el número de pizzas hechas fue:

8 * 12 = 96 pizzas

1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:

1/3 * 96 = 32 pizzas

5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:

5/8 * 96 = 60 pizzas

El número total de pizzas vendidas es:

32 + 60 = 92 pizzas

Esto significa que no se vendieron 4 pizzas. En forma de fracción:

4/96 = 1/24

5 0
3 years ago
3 times a Numbers plus 12 is more than 15?
Darya [45]

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
George wrote an integer. The opposite of George’s integer is -53. Which of these statements about George’s integer must be true?
vlabodo [156]

The George's integer must be true for option D)I and IV.

What is integer?

 A full number (not a fraction) that can be positive, negative, or zero is called an integer . -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers. Integer, which means full or whole in Latin, is the root of the English term integer. A particular category of numbers called integers includes zero, positive numbers, and negative numbers. All whole numbers, both negative and positive, and 0 are considered integers.

Here the opposite of George integer is -53.

We know that opposite value of x is -x.

Then George integer is 53.

George integer must be true for The given options I. the integer is 53 and IV.The integer has absolute value of 53.

Therefore the correct option is  D) I and IV.

To learn more about integer refer the below link

brainly.com/question/13723636

#SPJ9

5 0
1 year ago
What is the length of ab and bc ? a= (1,-3) b= (3,-1) C= (5,-3)
ddd [48]

Answer:

the length is (1,3

Step-by-step explanation:

the length is 3,1

5 0
3 years ago
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