Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
![\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20-7x-2y%3D4%5Cimplies%20-2y%3D7x%2B4%5Cimplies%20y%3D%5Ccfrac%7B7x%2B4%7D%7B-2%7D%5Cimplies%20y%3D%5Ccfrac%7B7x%7D%7B-2%7D%2B%5Ccfrac%7B4%7D%7B-2%7D%20%5C%5C%5C%5C%5C%5C%20y%3D%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B-%5Ccfrac%7B7%7D%7B2%7D%7D%20x-2%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

now, what's the slope of a line parallel to that one above? well, parallel lines have exactly the same slope.
<u>Let's solve this problem step by step</u>
<u />
| Given Equation
| Distributive Property of Multiplication over subtraction
| Subtraction Property of Equality
| Subtraction Property of Equality
| Division Property of Equality
<em>Definition of each property</em>:
- <u><em>Distributive Property of Multiplication over subtraction</em></u><em>: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.</em>
- <u><em>Subtraction Property of Equality</em></u>:<em> if the same value is subtracted from two equal sides, the differences remain the same</em>
- <u><em>Division Property of Equality</em></u><em>: if the same value is divided from two equal sides, the equation remains the same</em>
<em />
Hope that helps!
Answer:
angle U ( the third option down)
Step-by-step explanation:
The series will be:

Hence, Option A is the right answer
Step-by-step explanation:
The series can be fount out by putting the values of i in the expression written with the summation
The expression is:

while i = 1 to 25
Putting i = 1

Putting i = 2

Putting i = 3

....
Putting i = 25

The series will be:

Hence, Option A is the right answer
Keywords: Summation, Series
Learn more about summation at:
#LearnwithBrainly