Answer:
The two numbers are <em>16</em> and <em>26</em>.
Step-by-step explanation:
We can solve this question using 2 simultaneous equations based on the given information from the question.
Let number 1 = x
Let number 2 = y
xy = 416 -> ( 1 )
x + y = 42 -> ( 2 )
We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.
Make y the subject in ( 2 ):
x + y = 42 -> ( 2 )
y = 42 - x -> ( 3 )
Substitute ( 3 ) into ( 1 ):
xy = 416 -> ( 1 )
x ( 42 - x ) = 416
42x - x^2 = 416
-x^2 + 42x - 416 = 0
- [ x^2 - 42x + 416 ] = 0
- [ x^2 - 16x - 26x + 416 ] = 0
- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0
- ( x - 16 ) ( x - 26 ) = 0
x = 16 -> ( 4 ) , x = 26 -> ( 5 )
Substitute ( 4 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 16 )
y = 26
Substitute ( 5 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 26 )
y = 16
Therefore:
x = 16 , y = 26
x = 26 , y = 16
The two numbers are 16 and 26.
Answer:
v = 1.8 x 10^6
Step-by-step explanation:
v= π r 2h
/3
Answer:
y=6/5x+2
Step-by-step explanation:
1.find the slope(m)
m=y2-y1/x2-x1
m=14-(-4)/10-(-5)
m=14+4/10+5
m=18/15
m=6/5
y-y1=m(x-x1)
y-(-4)=6/5(x-(-5))
y+4=6/5(x+5)
y+4=6/5x+30/5
y=6/5x+30/5-4
y=6/5x+10/5
y=6/5x+2
Answer:
c
Step-by-step explanation:
when you add the same number to the previous number it forms a straight line
Get y alone
so
-8y=13-7x (by subtracting 7x from both sides)
now you still want y by itself so you divide by -8
leaving you with
y=-13/8 + 7/8
