Answer:The solutions are -3 and -6
Explanation:First we would need to put the equation in standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² + 18 = -9x
x² + 9x + 18 = 0
By comparison, we would find that:
a = 1
b = 9
c = 18
Now, to get the roots, we would use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x =
or x =
Hope this helps :)
Let the number of chickens = c.
Let the number of pigs = p.
A chicken has 1 head and 2 legs.
c number of chickens have c heads and 2c legs.
A pig has 1 head and 4 legs.
p number of pigs have p heads and 4p legs.
There are 40 heads.
Equation for heads:
c + p = 40
There are 110 legs.
Equation for legs:
2c + 4p = 110
System of equations:
c + p = 40
2c + 4p = 110
Solve the first equation of the system of equations for c:
c = 40 - p
Substitute 40 - p for c in the second equation:
2c + 4p = 110
2(40 - p) + 4p = 110
80 - 2p + 4p = 110
80 + 2p = 110
2p = 30
p = 15
Now substitute p = 15 in the first equation to find c.
c + p = 40
c + 15 = 40
c = 25
There are 25 chickens and 15 pigs.
Answer:
![\sf \Bigg[ \frac{ ( - 4 \times ( - 3)) }{2} \Bigg] \: and \: \Bigg[ \frac{ - ( - 5 \times 8)}{10} + 2 \Bigg]](https://tex.z-dn.net/?f=%20%20%20%5Csf%20%5CBigg%5B%20%5Cfrac%7B%20%28%20-%204%20%5Ctimes%20%28%20-%203%29%29%20%7D%7B2%7D%20%5CBigg%5D%20%5C%3A%20and%20%20%5C%3A%20%5CBigg%5B%20%5Cfrac%7B%20-%20%28%20-%205%20%5Ctimes%208%29%7D%7B10%7D%20%2B%202%20%5CBigg%5D)
Step-by-step explanation:
Given:
To find:
Two expressions that equal 6 using the given numbers
Solution:
Expression first,
Using numbers -4, 2, -3,
aligning the above numbers as,
will out put 6.
<em>Verification,</em>
Expression second,
Using numbers 10,8,2,-5
aligning the above numbers as,
will result 6.
<em>Verification</em>
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The image of the figure under reflections in line m and then line t is shown below.
<h3>What is a transformation of geometry?</h3>
A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
The image of the figure under reflections in line m and then line t.
The reflection of the rectangle DEFG will be given in the figure.
More about the transformation of geometry link is given below.
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Graph C depicts the relation between No. of sweaters ( Nombre de chandails vendus ) and the fund raised in the campaign (Campagne de financements )
<h3>What is a Graph ?</h3>
Graph is the statistical representation of data , It helps to observe large data systematically.
It is given that
Sale of one sweater gives $3
The relation between the amount raised for funding , M and the number of shirts sold , n is given by
M = 3n
It has to be found that which graph exactly depicts the relation and the condition as given
Graph C depicts the relation given as , The graph is between No. of sweaters ( Nombre de chandails vendus ) and the fund raised in the campaign (Campagne de financements ) , and for every 100 sweater , $300 is earned .
Therefore Graph C is the answer.
To know more about Graph
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