A line through two points A, B can be found by the point-slope form of the formula:
(y-ya)=m(x-xa)............(1)
and
m=(yb-ya)/(xb-xa).......(2)
where A(xa,ya), B(xb,yb) and m is the slope between points A & B.
Substituting
A(xa,ya)=A(1,3)
B(xb,yb)=B(0,2)
From (2)
m=(yb-ya)/(xb-xa)
=(2-3)/(0-1)
=-1/(-1)
=1
Substitute in (1) : (y-ya)=m(x-xa)
y-3=1(x-1)
Distribute and simplify
y=x-1+3=x+2
or
y=x+2 .................(3a) equation required in slope-intercept form
x-y+2=0...............(3b) equation in standard form
Answer:
<h3>3cm</h3>
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Given
Area = 7 7/8cm²
Base = 5 1/4 cm
Required
Height of the triangle
Substitute;
7 7/8 = 1/2 * 5 1/4 * Height
63/8 = 1/2 * 21/4 * h
63/8 = 21H/8
63 = 21H
H = 63/21
H = 3cm
Hence the length of h is 3cm
Answer:
The patio is a rectangle
Step-by-step explanation:
Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.
Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.
So, the patio is a rectangle.
We know that
P(winning) = 18/38
P(losing) = 1-18/38 = 20/38
Expected value = 100*18/38 - 100*20/38
1800/38 - 2000/38 = - 200/38 =-$5.26
the answer is the option <span>a)-$5.26</span>
