Answer:
7/2 = m
Step-by-step explanation:
We can use cross products to solve
3 6
--- = ------
m 7
3*7 = 6*m
Divide each side by 6
21/6 = 6m/6
7/2 = m
Answer:
D. -1(3x + 1)(x+5)
Step-by-step explanation:
X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
The equilibrium point for the pair of demand and supply function is 100
We have been two linear function, one is linear supply function and other is linear demand function.
In general , linear supply function is given as:
Qs = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
And linear demand function is given is :
Qd = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
According to the question,
Linear supply function is q = 300 + 5x
And linear demand function is q = 4800 – 40x
To find the equilibrium point we will put two quantities equal, that is,
Qs = Qd
300 + 5x = 4800 – 40x
5x + 40x = 4800 – 300
45x = 4500
x = 100
Hence the equilibrium point is 100
Learn more about equilibrium point here : brainly.com/question/1915798
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Answer: we can get the sequence of reasons with help of below explanation.
Step-by-step explanation:
Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)
By joining points B with A and B with C ( Construction)
We get two triangles ABD and CBD.
We have to prove that : Δ ABD ≅ Δ CBD
Statement Reason
1. AD ≅ DC 1. By the property of segment bisector
2. ∠BDA ≅ ∠ BDC 2. Right angles
3. BD ≅ BD 3. Reflexive
4. Δ ABD ≅ Δ CBD 4. By SAS postulate of congruence
