Answer:
2.
3.
Step-by-step explanation:
We add like terms together to simplify
2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15
3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9
FIND THE CORRECT PRIME FACTORIZATION OF 20/50, AN THEN REDUCE THE FRACTION TO LOWEST TERMS.
1 answer:
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The equation for a parabola with vertex (h, k) and vertical scale factor "a" is
y = a(x -h)² + k
One parabola with vertex (6, 9) is
y = (x-6)² +9
y = a(x -h)² + k
One parabola with vertex (6, 9) is
y = (x-6)² +9
Answer:
a) 32
b)
Step-by-step Explanation:
Initial pattern has 7 sticks.
Second one has 7+5 sticks.
Third has 7+5+5 sticks.
.
.
.
Sixth has 7+5+5+5+5+5=32 sticks.
$n^{th}$ has $7+ 5(n-1)$ sticks.
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a + k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a+k
7 = a + k
Similarly,
-2 = a + k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
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