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3 years ago

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The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to s

olve.

1 answer:

maxonik [38]3 years ago

7 0

Answer:

20 chickens

Step-by-step explanation:

2/8= 5/x

2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:

2/8=5/20

Therefore, with 5 roosters, there are 20 chickens.

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If a point B(2,5) lies on a circle with center at origin,then what will be the length of the

lianna [129]

Answer:

r = $\sqrt{29}$

Step-by-step explanation:

The distance from the centre to a point on the circle is the radius r

Calculate r using the distance formula

r = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, 5 )

r = $\sqrt{(2-0)^2+(5-0)^2}$

= $\sqrt{2^2+5^2}$

= $\sqrt{4+25}$

= $\sqrt{29}$

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3 years ago

Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

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The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(-6, 6) and B(12, 3). Substitute:

$m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}$

Therefore we have $y=-\dfrac{1}{6}x+b$ .

Put the coordinates of the point B to the equation:

$3=-\dfrac{1}{6}(12)+b$

$3=-2+b$ <em>add 2 to both sides</em>

$5=b\to b=5$

Answer:

$m=-\dfrac{1}{6}\\\\b=5$

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3 years ago

What is the sum of the two vectors (-1,-4) and (3,5)

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Answer:

Step-by-step explanation:

$a(-1, -4)\\b(3, 5)\\a + b(2, 1)$

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3 years ago

Read 2 more answers

What is the first step in solving the equation 4.2y-5.2=18.5

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Add 5.2 then divide

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3 years ago

The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?

Ira Lisetskai [31]

Answer:

The distance from P to origin is approximately 40.82 units.

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

$(x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

Putting the values, we get,

$(21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}$

The distance from P to origin is approximately 40.82 units.

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3 years ago