In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
the answer to the question is 799
Answer: 15w
Step-by-step explanation:
No it’s not a rational number
Answer:
y=6/5x-8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
Since we are already given the slope of the line, we can immediately plug it into the equation:
y=6/5x+b
Now we need to find b
Since the equation passes through the point (5, -2), we can use it to solve for b
Substitute 5 as x and -2 as y:
-2=6/5(5)+b
Multiply
-2=6+b
Subtract 6 from both sides
-8=b
Substitute -8 as b.
y=6/5x-8
Hope this helps!
