This system of equations has an infinite number of solutions.
Answer:
Step-by-step explanation:
the width of the first frame is 12cm because 120/10 = 12
the length of the second frame is 24cm because 288/12 = 24
Answer:
When (-1,-4) is substituted into the first equation, the equation is true.
When (-1,-4) is substituted into the second equation, the equation is true.
Step-by-step explanation:
The given system is
x-y=3
7x-y=-3
Make x the subject in the top equation to get:
x=y+3
Put x=y+3 in the bottom equation to get:
7(y+3)-y=-3
Expand
7y+21-y=-3
7y-y=-3-21
6y=-24
y=-4
Put y=-4 into x=y+3 to get
x=-4+3=-1
Hence the point (-1,-4) is a solution to both equation
Answer:
he equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
slope intercept form
Step-by-step explanation:
<u><em>Explanation:</em></u>-
Given equation of the line
y = 1/8x-4
8 y = x - 32
x - 8 y -32=0
<em>The equation of the line is parallel to the given line a x + b y + k=0</em>
<em> x - 8 y + k=0</em>
<em>This line is passing through the point ( 1,4)</em>
<em> x - 8 y + k=0</em>
1 - 32 + k =0
k = 31
The equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
<em>slope intercept form</em>
<em> 8 y = x + 31</em>
Answer:
P(A) = 86 / 265
P(B) = 39 / 153
P(C) = 243 / 326
Note:
Missing data as follow
Number of children No job Part-time Full-time Total
0 16 39 98 153
1 86 59 126 271
2 163 80 83 326
Total 265 178 307 750
Computation:
P(A) = 86 / 265
P(B) = 39 / 153
P(C) = (163 + 80) / 326 = 243 / 326
