What characteristics do you find when when corresponding vertices are connected with line segments?
Answer:
b no.is the correct answer.
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
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In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
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Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
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Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
145 pages.
25 + 1/4 x (X - 25) + 90 = X
100 + X - 25 + 360 = 4X
435 + X = 4X
435 = 3X
X = 145
Ok so we are calling the total number of pages in the book X. Friday morning, they read 25 pages. Friday afternoon, they read 1/4 of what is left. Since they already read 25 pages, we can say that the remainder of the pages is the total, X, minus 25, giving us the amount of pages read on Friday afternoon 1/4 (X - 25). They then say that the rest of the pages in the book after Friday is 90. Therefore what they read of friday plus 90 is the total amount of pages in the book. After this point, it is simple algebraic solving in order to find X. If you plug 145 in for the total amount of pages, you will see that it works.
Answer:
m = 12f
Or
m/12 = f
Step-by-step explanation:
The conversion from inches to feet involves a constant factor of variation which is 12. Inches is a smaller unit while feet are obtained by dividing the inches with 12.
As we know,
1 foot = 12 inches
Given in the question:
m = measurement in inches
and
f= measurement in feet
Hence the equation will be:
m = 12f
Or
m/12 = f ..