Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
Hello:
let : f(x) = <span>x3 − 6x2 + kx + 10
</span><span>If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11</span>
Answer:
4.5 feet
Step-by-step explanation:
Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.
In the scale, scale to actual is 1 inch to 2.5 feet
let 1.8 inch scale = x actual feet
Thus mathematically, by cross multiplying; we have;
x = 2.5 * 1.8 = 4.5 feet
Answer:
$47
Step-by-step explanation:
If she spent 47, and had none after, she spent 47.
