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2 years ago

Need help with this. was removed when i posted it

Mathematics

1 answer:

Anna71 [15]2 years ago

8 0

The first, third and fourth points are the answers

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The picture shows a sandwich box:

loris [4]

Using the Pythagorean theorem we can find the height of the triangle:

height = √(14^2 - 12^2)

height = √(196 - 144)

height = √52

height = 7.2

The answer would be 7.2 centimeters.

7 0

2 years ago

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18/5 as a mixed number

Alona [7]

18/5 as a mixed number is 3 3/5

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2 years ago

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Show that the equation represents a circle and find its center and radius.<br> x2 + y2 +6y + 2 = 0

Dafna11 [192]

Answer:

Step-by-step explanation:

The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.

To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.

Given x² + (y² +6y) + 2 = 0

First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e $(\frac{1}{2}*6) ^2$ to the equation and adding the constant to the other side of the equation as well.

x² + (y² +6y) + 2 = 0

$x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\$

<em>Hence the equation represents a circle with centre C at (0, -3) and radius of √7</em>

7 0

2 years ago

Find the next term if the sequence: 5, 5, 10, 30, 120, 600

adell [148]

Answer:

3600

Step-by-step explanation:

5 * 5 = 1

5 * 2 = 10

600 * 6 = 3600

5 0

2 years ago

Find the nth term of a gp with (a. find term = 5, common ratio = 2

Rina8888 [55]

Step-by-step explanation:

we know,

$tn= a {(r)}^{n - 1} \\ T5 = a {(2)}^{5 - 1} \\ t5 = a \times {2}^{4} \\ = 16a$

Therefore, nth term of a given gp is

16a

7 0

2 years ago