Answer:
b
Step-by-step explanation:
because
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:
If Shawn downloads a movie at a price of $ 2 each, for five movies he should pay $ 10. A percentage of 25% calculated as a sum is required to pay multiplied by 0.25. If for five downloaded movies there is a discount of 25%, it means that at a price of $ 10 he will have a 25% discount, $ 10x0.25 (25%) and get a discount of $ 2.5. That means he saved $ 2.5 if he bought five movies, and would pay $ 7.5.
The correct answer is <span>A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.
</span>
Congruent figures are of the same shape and the same size. <span>Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ will produce similar but not congruent figures because they have different sizes.</span>
Answer:
When a number is divided by 5 and the result is 247 with a remainder, one possible dividend is 1236.
The quotient of a number is the number that is gotten when a number is divided by another number. For example, the quotient of 10 and 2 is 5.
An unknown number was divided by 5 and the result was 247 with a remainder. In order to determine the number the first step is to determine the product of 247 and 5.
247 x 5 = 1235
Since the number has a remainder, the number cannot be exactly 1235. The number would lie between 1235 and 1240. The numbers can be 1236, 1237, 1238 and 1239.