Answer:
7.5
Step-by-step explanation:
draw the triangles separately then write a fraction for the small one x/6 and 10/8 then to get rid of the 6 to get x by itself you multiply by 6 to get X and for the other side you do 10/8 then multiply 1.25 times 6 to get 7.5
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hope this helped
Given that the directrix is at y = 4 and the focus is at (0, -4), then the vertex is at (h, k) = (0, 0).
p is the distance between the vertex and the focus and between the vertex and the directrix = 4 and since the focus is below the directrix, p is negative, i.e. p = -4
Equation of a parabola is given by (x - h)^2 = 4p(y - k)
Therefore, the required equation is (x - 0)^2 = 4(-4)(y - 0)
x^2 = -16y
y = -1/16 x^2
This is an awful question. They mean to say the number of hours practicing <em>per week</em> (we'll call it h) varies inversely with the <em>time</em> (t) she runs her event. Unless they mean to imply more practicing makes Tyler slower, in which case she should just get a pizza.
Inverse variation means the product is a constant, we'll call it k.
ht = k
When h = 1 hour t=6 minutes
(1)(6) = k
k = 6 (hour*minutes, but as long as we're consistent we don't need to sweat the unit.)
Decreasing her time by one minute means t = 6 - 1 = 5. We solve for h.
ht = k
h = k/t = 6/5 = 1.2 hours
Answer: 1.2 hours, second choice
<span>2x-4y=32
2x-8y=48
--------------subtract
4y = - 16
y = -4
</span>2x-4y=32
2x- 4(-4)=32
2x + 16 = 32
2x = 16
x = 8
answer
(8, -4)
