Answer: 7 hours.
Step-by-step explanation:
The rental price is 15. Add 5 per hour (5x) and the total must be equal to $50
15+5x=50
Solve for x;
For the answer to the question above asking<span> what is the measure of an acute base angle of the trapezoid?
</span>n acute base angle of the trapezoid would be the same as the triangle.
<span>subtract 34º from 180º, then divide by 2. </span>
<span>(180 - 34)/2 = 73º
</span>I hope my answer helped you.
The solution to the problem is as follows:
<span>⇒d2−9d−5d+45</span>
<span>
⇒d(d−9)−5(d−9)</span>
<span>
⇒(d−5)(d−9)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Answer:
y=3x+2
Step-by-step explanation:
For a the equation is y=3x+2 because he makes 3 every hour (3x) and he already has 2 (+2).
For the graph you replace x with any number and solve. Plot the point.
Then you do it again but with a different x.
Finally you draw a straight line trough the 2 points.
