Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = 
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
Airplane #1 equation: y=5/13x+42/13
Airplane #2 equation: y=1/3x+14
Step-by-step explanation:
So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.
Hope this helps
Answer:
8 is 4% of 200, 1% of 200 is 2
Answer:
<u>y = 6 x=8</u>
Step-by-step explanation:
(3х + 5y = 54)-2 times by -2
6х +4y = 72
-6х + -10y = -108 now combine the equations
6х + 4y = 72
-6y = -36 now divide
y = 6
Plug 6 in 6х +4 * 6 = 72
x=8
Answer:
15
Step-by-step explanation:
8.25 minus 7.80 is 0.45 45 divided by 3 is 15 so the answer is 15
