To find the ordered pair solution, you need to find the zero(s) (which are the x-values for which y is equal to zero). This is called the Zero Product Property. Here's the math:
-2x-y=4 convert the equation into slope form
-y=2x+4 multiply both sides by -1
y=-2x-4 convert into factored form
y=-2(x+2) now, we need to find what x equals that makes y equal zero
0=-2(x+2) replace y with zero
0/-2=x+2 divide both sides by -2
-2=x x=-2 when y=0
Therefore, the zero of the equation (aka the solution) is the ordered pair (-2,0).
Answer: (-2,0)
If you have access to a graphing calculator, you can just convert the equation to y=mx+b form and enter it as a function. The solution is wherever the graph intercepts the x-axis. Hope this helps!
The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2
You must get the like terms on the correct sides, so here is how to solve it:
First subtract 5x from both sides: 3x+4=-11
Then subtract 4 from both sides: 3x=-15
Finally divide by 3: x=-5
Answer: It is true, I explained it down below in the picture.
Step-by-step explanation:
