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Write the hyperbola in standard form with the vertices at (1,1) and (5,1) and the foci at (-1,1) and (7,1) (answer)

Madison, This is essentially the same question I just answered you, except that the hyperbola is East-West opening , so its equation has the form (x−h)²/a² - (y−k)²/b²= 1 Follow the same logic to figure out (h, k), a, c and b, you have your equation. Best, Heng

Write in standard form of the hyperbola with the vertices of (1,5) and (1,11) and foci at (1,4) and (1,12) (answer)

The hyperbola is North-South opening , so its equation has the form (y−k)²/a²-(x−h)²/b² = 1 with center (h, k), in this case (1,8), i.e. the mid point between vertices or foci. vertices (h, k±a), i.e. (1, 8±3), a = distance between vertex and center = 3 foci (h, k±c), i.e. (1,...

find the coordinates of the midpoint of the segment wuth the given pair of endpoints J(6,6) and K(2,-4) (answer)

Alec, Roman has found the mid point for you. From what you said, you still need help finding the endpoints. The end points are J and K. J is (6,6), you find a line parallel to the y axis passing 6 on the x axis; and a second line parallel to the x axis passing 6 on the y axis. These two...

cant remember what the things i study (answer)

The reason people forget math afterwards, sometimes is because the logic is complicated. My solution to that is to break it down to pieces that you do remember. You said you worked hard and understood math. Before you take a break, while you still understand, pause and summarize your understanding...

a part of family expenses of a family is constant and the remaining varies with the price of the wheat. when the rate of wheat is Rs.250 per quintal, the total (answer)

assigning the constant expenses part b, the total expense can be expressed as total expenses=m(price of the wheat)+b change shape into f(x)=mx+b We have when x=250, f(x)=1000 and when x=240, f(x)=980 i.e. 1000=250m+b and 980=240m+b Solve those: m=2, b=500 the monthly...

I asked this question and got an answer but am more confusted. Can someone please explain with the work and explanation of each one. (answer)

Char, An asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Horizontal asymptotes are parallel to the x-axis (fixed y number) that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are...