You have to combine like terms.
Like terms are those with the same letters raised to the same power.
These are the sums of the like terms:
1) 4y^2 + y^2 + 14y^2 = 19y^2
2) - 3y + 4y - 7y = - 6y
3) - 6 - 2 = - 8
Simplified expression: 19y^2 - 6y - 8<------------ answer
Answer:
2x+22=42
Step-by-step explanation:
2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10
Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!
Answer:
y = 3x-16
Step-by-step explanation:
two points where the line goes through is (5,-4) as mentioned and (0,-16)
B. Up
Because a positive ‘a’ value will make the parabola open upwards, and because the power is 2 (even) both sides will open up in a ‘U’ shape