Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
Answer:
True
Step-by-step explanation:
We can plug in and see.
If (3,0) is on the graph of P, then P(3) will evaluate to 0.
Let's try it:
P(3)=(3)^3-7(3)^2+15(3)-9
P(3)=27-7(9)+45-9
P(3)=27-63+45-9
P(3)=-36+45-9
P(3)=9-9
P(3)=0
Since P(3)=0, then (3,0) is an ordered pair of P.
Answer:
(arranged from top to bottom)
System #3, where x=6
System #1, where x=4
System #7, where x=3
System #5, where x=2
System #2, where x=1
Step-by-step explanation:
System #1: x=4
To solve, start by isolating your first equation for y.
Now, plug this value of y into your second equation.
System #2: x=1
Isolate your second equation for y.
Plug this value of y into your first equation.
System #3: x=6
Isolate your first equation for y.
Plug this value of y into your second equation.
System #4: all real numbers (not included in your diagram)
Plug your value of y into your second equation.
<em>all real numbers are solutions</em>
System #5: x=2
Isolate your second equation for y.
Plug in your value of y to your first equation.
System #6: no solution (not included in your diagram)
Isolate your first equation for y.
Plug your value of y into your second equation.
<em>no solution</em>
System #7: x=3
Plug your value of y into your second equation.
One property of a rhombus is that the diagonals are perpendicular. This means that the diagonals intersect at 90 degree angles (right angles).
So we know that angle JNK is 90 degrees
angle JNK = 90 degrees
5x - 15 = 90
5x - 15 + 15 = 90+15
5x = 105
5x/5 = 105/5
x = 21
Answer: x = 21