Answer:
The equation of the line is
2y=x+8
Step-by-step explanation:
This is a straight line graph.
And general equation of a straight is given by
y=mx+c
Where m is slope
c is the intercept on y axis at x=0
So at y=0, x=8. This is from the graph.
And inserting this value of y and x into the straight line equation
y=mx+c
0=-8m+c
Therefore, c=8m. Equation 1
Taking another point on the graph
at=0, y=4
Also, inserting this value of y and x into the straight line equation
4=0×x+c
4=0+c
Therefore, c=4.
Therefore the intercept is 4
From equation 1
c=8m c=4
Then m=c/8
m=4/8
m=1/2
Then the equations of then line is
y=mx+c
y=(1/2)x+4
Multiply through by 2
2y=x+8
The equation of the line is
2y=x+8
Answer:
x = √72 and yes, it forms a Pythagorean triple
Step-by-step explanation:
a^2 + b^2 = c^2,
3 is a, x is b, anf 9 is c
3^2 + x^2 = 9^2
9 + x^2 = 81
Subtract 9 from both sides
x^2 = 72
x = √72
a Pythagorean triple is a^2 + b^2 = c^2, and this has it
Answer: 231
<u>Explanation:</u>
Liwen Celina
5x 6x
5x - 21 =
6x
5x - 21 = 4x
<u>-4x +21</u> <u>-4x +21 </u>
x = 21
Liwen: 5x = 5(21) = 105
Celina: 6x = 6(21) =<u> 126</u>
Total: 231