Answer:
(x+1)^2 + (y+1)^2 = 49
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -1)^2 + (y- -1)^2 = 7^2
Simplifying
(x+1)^2 + (y+1)^2 = 49
For the answer to the question above, I'll provide a solution to my answer below.
(4 / 5) + (3 / x) = (1/2)
<span>x cannot equal 0 </span>
<span>(4x + 15) / 5x = 1/2 </span>
<span>2(4x + 15) = 5x </span>
<span>8x + 30 = 5x </span>
<span>3x = -30 </span>
<span>x = -10
</span>I hope my answer helped you. Feel free to ask more questions. Have a nice day!
Focus has coordinates (0, a)
a = -3
Thus, 4a = 4(-3) = -12
Because a is negative, we know it will be a concave down or concave left parabola. Hence, A and D can be eliminated. And we know it has to be B because the directrix is the horizontal line y = 3. Hence, the equation of the parabola becomes:
or
The question involves the concept & equations associated with projectile motion.
Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²
Of the possible equations of motion, the one we'll find useful is:
y₂ = y₁ + v₁t + 1/2gt²
We can just plug and chug to define the equation of motion:
<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>
<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>
Answer: A~ 45
Step-by-step explanation:
