Answer:
0.42
Step-by-step explanation:
The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.
The expression of the markdown using a decimal can be represented below.
Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal. Or you can just divide the percentage value by 100.
In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.
Answer:
Yes
Step-by-step explanation:
From the origin means from the centre or middle but about a vertex is from a named point.
The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>
Suppose that there is a line segment such that a point P(x,y) lying on that line segment divides the line segment in m:n, then, the coordinates of the point P is given by:
where we have:
- the coordinate of A is
- and the coordinate of B is
We're given that:
- Coordinate of A is = (-7,2)
- Coordinate of B is = (9.-6)
- The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)
Let the coordinate of P be (x,y), then we get the values of x and y as:
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
Learn more about a point dividing a line segment in a ratio here:
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6rp^3 is the greatest common factor. Take that out and see what's left.
= 6rp^3*(3r^4 -2r^2p^2 +5p) . . . . . factors no further
x + 90 = 7x
90 = 7x - x
90 = 6x
x = 90/6
x = 15
Result x = 15
Measure of each angle = 15 + 90
= 105
a) x = 15
b) angle = 105°
Second problem
a= Complementary
b) 90°
c) x = 90 - 37
x = 53°