Answer:
Step-by-step explanation:
Collect like terms
⇒
⇒
⇒
Calculate
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Hope I helped!
Best regards! :D
Answer:
y = -8
Step-by-step explanation:
y = -10 - x
y = -10 - (-2)
y = -10 + 2
y = -8
Answer:
32
Step-by-step explanation:
So, lets go over what we know:
The equation to find x is the same on both sides.
Now, lets find this equation:
So, the total area of the two lines on the left side of the triangle are 24.
Lets first subtract the first line from the total of the two lines to find the value of the second line:
24-3
=
21.
Now that we know the value of the 2nd line is 21. lets divide it by the first line(3) to find the scale factor:
21/3
=
7
So the scale factor is 7!
Lets plug this in for x.
We know that the first line is 4.
The second line is 7x bigger than 4.
So we can calculate this as:
7x4
=
28
So x is 28!
This is your answer!
Hope it helps! :)
Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
