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cricket20 [7]
3 years ago
7

The slope intercept form of the equation of a line is y=mx+b. when the formula is solved for m, the result is?

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Subtract from each side and you get y−b=mx. Then divide each by x

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Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type
musickatia [10]

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

<em>2C + 4 G =116 </em>

<em>- </em>

<em>2C + 2 G =76 </em>

<em>_________ </em>

<em>2G = 40 </em>

  • Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

  • Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

7 0
3 years ago
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4 years ago
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One more question pls help thanx
Arada [10]
The y intercept of the graphed function and the equation are both -2

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In 2010 the population of alaska was about 710200 what is this number written in word form
Svetradugi [14.3K]
Seven hundred and ten thousand two hundred
7 0
3 years ago
Find (a) the arc length and (b) the area of a sector.
Brut [27]

Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

  • \theta=\dfrac{3 \pi}{2}
  • r = 5 ft

\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}

6 0
3 years ago
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