Answer:
The equation of the line is: y = x + 4
Step-by-step explanation:
When we are given two points passing through a line, we can find the equation of the line by using two - point form.
Two - point form: ![$ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B%5Ctextbf%7By%20-%20y%7D_%5Ctextbf%7B1%7D%7D%7B%5Ctextbf%7By%7D_%7B%5Ctextbf%7B2%7D%7D%20%5Ctextbf%7B-%7D%20%5Ctextbf%7By%7D_%7B%5Ctextbf%7B1%7D%7D%7D%20%3D%20%5Cfrac%7B%7B%5Ctextbf%7Bx%20-%20x%7D_%5Ctextbf%7B1%7D%7D%7D%7B%5Ctextbf%7Bx%7D_%7B%5Ctextbf%7B2%7D%7D%20%5Ctextbf%7B-%7D%20%5Ctextbf%7Bx%7D_%7B%5Ctextbf%7B1%7D%7D%20%20%20%20%7D%24)
where
are the points passing through the line.
Here, let us take two points (can be any two):
and
![$ (x_2, y_2) = (5, 9) $](https://tex.z-dn.net/?f=%24%20%28x_2%2C%20y_2%29%20%3D%20%285%2C%209%29%20%24)
Therefore, we have:
![$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7By%20-%205%7D%7B9%20-%205%7D%20%3D%20%5Cfrac%7Bx%20-%201%7D%7B5%20-%201%7D%20%24)
![$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $](https://tex.z-dn.net/?f=%24%20%5Ciff%20%5Cfrac%7By%20-%205%7D%7B4%7D%20%3D%20%5Cfrac%7Bx%20-%201%7D%7B4%7D%20%24)
![$ \iff y - 5 = x - 1 $](https://tex.z-dn.net/?f=%24%20%5Ciff%20y%20-%205%20%3D%20x%20-%201%20%24)
![$ \implies y = x - 1 + 5 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20y%20%3D%20x%20-%201%20%2B%205%20%24)
which is the required answer.
Answer: -34738.4259228
Step-by-step explanation:
It’s a decrease because your dividing 1600e -0.1252
Answer:
37.74 ft
Step-by-step explanation:
An angle and its opposite side are known
Sin (of the angle)= opposite/ hypotenuse
The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse
Sin (32)= 20/ hypotenuse
hypotenuse= 20/ Sin (32)
Sin (32)=0.5299
hypotenuse= 20/ 0.5299
37.74 ft
Hopefully this helps :)
It takes three 1-gallon buckets to paint 72sqft, if you simplify or find the unit rate, you can know that you can paint 24sqft with one 1-gallon bucket of paint. Since you need to paint 90 sqft, you can’t use three buckets because it only covers 72sqft, but if you use 4 buckets, it will cover 96sqft.
THE ANSWER IS 4 1-GALLON BUCKETS OF PAINT
The sequence is " Algebraic, common difference = −10 " ⇒ 1st answer
Step-by-step explanation:
Let us revise the algebraic and geometric sequences
- The Algebraic sequence is the sequence that has a common difference between each two consecutive terms, like 2 , 5 , 8 , 11 , 14 , .......... the difference between the 5 and 2 is equal to the difference between 8 and 5, and the difference between 11 and 8 and the difference between 14 and 11
- The geometric sequences is the sequence that has a common ratio between each two consecutive terms, like 3 , -9 , 27 , -81 , ...... the ratio between -9 and 3 as the ratio between 27 and -9 as the ratio between -81 and 27
→ x : 1 : 2 : 3 : 4
→ f(x) : 5 : -5 : -15 : -25
x represents the positions of the terms
f(x) represents the value of each term
∵ 1st = 5 and 2nd = -5
∵ -5 - 5 = -10
∵ 2nd = -5 and 3rd = -15
∵ -15 - (-5) = -15 + 5 = -10
∵ 3rd = -15 and 4th = -25
∵ -25 - (-15) = -25 + 15 = -10
∴ There is a common difference -10 between each two
consecutive terms
∴ The sequence is algebraic with common difference -10
The sequence is " Algebraic, common difference = −10 "
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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