Answer:
Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is
Linear Relationship i.e ![y-5=2(x+7)](https://tex.z-dn.net/?f=y-5%3D2%28x%2B7%29)
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -7, 5 )
point B( x₂ , y₂) ≡ (-5, 9)
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula
![(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\](https://tex.z-dn.net/?f=%28y%20-%20y_%7B1%7D%20%29%3D%28%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%7D%29%5Ctimes%28x-x_%7B1%7D%29%20%5C%5C)
Substituting the given values in a above equation we get
![(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}](https://tex.z-dn.net/?f=%28y-%285%29%29%3D%28%5Cfrac%7B9-%285%29%7D%7B-5--7%7D%29%5Ctimes%20%28x--7%29%5C%5C%20%5C%5C%28y-5%29%3D%5Cfrac%7B4%7D%7B2%7D%28x%2B7%29%5C%5C%5C%5Cy-5%3D2%28x%2B7%29...............%5Ctextrm%7Bwhich%20is%20the%20required%20equation%20of%20the%20line%20AB%7D)
Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is
Linear Relationship i.e ![y-5=2(x+7)](https://tex.z-dn.net/?f=y-5%3D2%28x%2B7%29)
Answer:
See explanation below.
Step-by-step explanation:
A number bond shows what two parts add to make the number. The 1 in the bigger circle is equal to the two small circles each 1/2.
On the number line you have drawn from 0 to 1 a bar. This is the whole number. Divide the bar with one line exactly at the half.
This now shows that two bars or 1/2 + 1/2 becomes 1 big bar or 1. This shows the same relationship as the number bond.
9514 1404 393
Answer:
16.4
Step-by-step explanation:
The law of cosines is useful here. It tells you ...
b^2 = a^2 + c^2 -2ac·cos(B)
b^2 = 22^2 +10^2 -2·22·10·cos(44°)
b^2 ≈ 267.49
b ≈ √267.49 ≈ 16.35514
b ≈ 16.4
The answer would be (-7x+8), the -1 basically means to switch the symbols
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
![=59+0.720\\=59.720\ kg](https://tex.z-dn.net/?f=%3D59%2B0.720%5C%5C%3D59.720%5C%20kg)
Total weight
![=190+0.640\\=190.640\ kg](https://tex.z-dn.net/?f=%3D190%2B0.640%5C%5C%3D190.640%5C%20kg)
Then, the cow weight is given by
![\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g](https://tex.z-dn.net/?f=%5CRightarrow%20190.640-59.720%5C%5C%5CRightarrow%20130.920%5C%20kg%5C%20%5Ctext%7Bor%7D%5C%20130%5C%20kg%5C%20920%5C%20g)