The rate of change of a linear equation (first degree) is equivalent to the slope of a line. Slope is described as the vertical movement (rise) of the line over its horizontal counterpart (run). In determining the rate of change or slope (m) given 1 data point (x',y'), point-slope form is applicable. Point-slope form is: (y-y') = m (x-x'). Substitute the given point (-5,-1) in the equation. By substitution, [y-(-1)] = m [x-(-5)]. Re-arranging the equation, the rate of change or slope is, m = (y+1)/(x+5).
Equation of line is y=mx + c
where c is y-intercept and m is slope.
Sub (3,1) and slope into equation:
1 = -2(3) + c
1 = -6 + c
c = 7
Thus, equation is y = -2x + 7
Ans is (a)
Hi there! The answer is A. Add together 200 and 100. Then divide the sum by 6.
In this problem we want to know how many books there are on 1 shelf. Therefore we must first now the total amount of books and so we add up 200 and 100 (which makes a total of 300 books)
Finally we divide this total amount of books by the amount of shelfs (300 / 6), and then we've found the answer to our question. Hence, the answer is A.
Answer:
Therefore,
AD = 7 unit
AE = 600 unit
EF = 30 unit
FB = 5 unit
Ar(EFGH)= 210 unit²
Ar(ABCD)= 4445 unit²
Step-by-step explanation:
Given:
Consider a rectangle ABCD as shown in the figure below where,
Area (ABCD) = 635 × 7 = 4445
Therefore length and width of a rectangle will be
LENGTH =635 = AB
WIDTH = 7 = AD
To Find:
AE =?
EF = ?
FB = ?
Ar(EFGH)=?
Ar(ABCD) =?
Solution:
We know that area of the rectangle is given by
Substituting the values we get
Similarly for area rectangle FBCG,
Now we have
AB = 635,
Similarly for area rectangle EFGH,
Therefore,
AD = 7 unit
AE = 600 unit
EF = 30 unit
FB = 5 unit
Ar(EFGH)= 210 unit²
Ar(ABCD)= 4445 unit²
Answer:
3:4
Step-by-step explanation:
18:24 —> 9:12–> 3:4
hope this helps :)
