Answer:
<h2>55°</h2>Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram in the attachment.
From the diagram, it can be seen that the triangle is an isosceles triangle because two of its sides are parallel (i.e the same). Since two of the sides are the same, hence the two base angles will be the same.
From the diagram, <EFG = <EGF
Since <EFG = 55° hence <EGF = y = 55°
<em>Hence the va;ue of y is 55°</em>
Answer:
<h2>The equation isStep-by-step explanation:
The equation of a hyperbola is represented by , where (h, k) is the center of the hyperbola.
As per the given condition, h = -2 and k = 4.
Thus, the equation becomes .
One vertex is (-2, 7).
Hence, putting x = -2 and y = 7, we get .
The slope of the asymptote is .
Hence, .
Thus, the equation is .
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They finish when their covered distance is equal to 5 kilometers. For Alice:
t/4 = 5
t = 5*4 = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 5²
2t = 25 + 1
t = 26/2
t = 13 minutes
c. They are side by side when they have covered the same distance, that is:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16*(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using quadratic formula:
Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.