Answer:
The coordinates of the point that divides the line internally in the given ratio is (7,3)
Step-by-step explanation:
To find this coordinates, we use the in renal division formula
we have this as;
(x,y) =( nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
(x1,y1) = (4,-3)
(x2,y2) = (8,5)
(m,n) = (3,1)
So, substituting these values, we have ;
(x,y) = (1(4) + 3)8))/(3 + 1) , (1(-3) + 3)5)/(1 + 3)
(x,y) = (28)/4, (12/4)
(x,y) = (7,3)
Answer:
p = 5
Step-by-step explanation:
Answer:
44 years old
Step-by-step explanation:
Let the age of Jasper be j years old now.
<u>Now</u><u>:</u>
Jasper➣ j
Simon ➣ j/2
<u>1</u><u>2</u><u> </u><u>years</u><u> </u><u>ago</u><u>:</u>
Jasper➣ j -12
Simon➣ j/2 -12
Given that Simon's age=⅕(Jasper's age),
j/2 -12= ⅕(j -12)
<em>Multiply</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>
2.5j -60= j -12
2.5j -j= 60 -12
<em>Simplify</em><em>:</em>
1.5j= 48
<em>÷</em><em>1.5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
j= 48 ÷1.5
<em>Simplify:</em>
j= 32
<u>12 years time:</u>
Jasper➣ j +12
Thus, Jasper's age
= 32 +12
= 44
Here are the steps. I'll try to make them as easy as possible :)
2/3x+1=5
Step 1: Subtract 1 from both sides.
2/x+1-1=5-1
Step 2: Multiply both sides from 3/2
(3/2)*(2/3x)=(3/2)*(4)
And the answer will be 6
x=6
<span>An event with probability 0 never occurs. An event with probability 1 occurs on every trial</span>
