For a hyperbola, the traverse axis, where it opens at, in this case horizontally or the x-axis, is the one that has the positive fraction, in this case then, it will be the fraction with the "x" variable in it.
check the picture below, you can pretty much see from the x-intercepts, what the vertices are, and thus what "a" is.
Step-by-step explanation:
Let's say the coordinates of Q are (h, k).
The slope of PQ is perpendicular to the tangent line.
(k − 2) / (h − 2) = -⅓
3(k − 2) = -(h − 2)
3(k − 2) = 2 − h
Solving for h:
h = 2 − 3(k − 2)
h = 2 − 3k + 6
h = 8 − 3k
(2, 2) is a point on the circle, so:
(2 − h)² + (2 − k)² = r²
Substituting:
9 (k − 2)² + (2 − k)² = r²
10 (k − 2)² = r²
The equation of the circle is:
(x − 8 + 3k)² + (y − k)² = 10 (k − 2)²
Without more information, there are an infinite number of possible solutions. For example, if k = 1, the equation of the circle is:
(x − 5)² + (y − 1)² = 10
Step-by-step explanation:
Volume of cuboid is length* breadth" height
Volume of cuboid is length* breadth" height=10*8*6= 480cm³
volume of traingular prism= this I don't know
okay wait...imagine there is other half of the traingle such that it becomes cuboid...now find area of cuboid = 5*5*4= 100
now divide by 2 to get half volume ( one triangular prism)
which is 100/2= 50
Volume of traingular prism= 50cm³
Total volume of figure= 480+50= 530cm³
Answer:
3ft tall thats the aswers
Step-by-step explanation:
Earth will be on the opposite side of the sun in summer.
this is because as the year goes on Earth circles around the sun, so by the time it is summer, Earth would have circled around to the other side.
