Answer:
5x +6y -90 = 0
Step-by-step explanation:
The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant will be chosen so the equation is satisfied at the given point.
5x +6y = 5(6) +6(10) = 90
The equation of the perpendicular line in general form is ...
5x +6y -90 = 0
Answer:
2 gallons
Step-by-step explanation:
There are 4 quarts in a gallon. She buys 1 gallon and 4 quarts, which is a total of 2 gallons. Hope this helps!
Answer:
Exact form:221/20
Decimal form:11.05
Mixed Number form:11 1/20
Step-by-step explanation:
Solutions
To solve the given equation lets use double-angle theorem. Double-angle formulas allow the expression of trigonometric functions of angles equal to 2α<span> in terms of </span>α<span>, which can simplify the functions and make it easier to perform more complex calculations, such as integration, on them.
</span>cos(3t)=cos^3(t)-3sin^2(t)cos(t)
cos(A+B) = cosAcosB - sinAsinB
<span>Now cos(3t) = cos(2t+t) </span>
⇒<span>cos(2t)cos(t) - sin(2t)sin(t) </span>
⇒<span>(2cos^2(t)-1)cos(t) - 2sin(t)cos(t)sin(t) </span>
⇒<span> 2cos^(3)t - cos(t) - 2sin^2(t)cos(t) </span>
⇒<span> 2cos^3(t) - cos(t) - 2(1-cos^2(t))cos(t) </span>
⇒<span>2cos^3(t) - cos(t) - 2cos(t) + 2cos^3(t) </span>
⇒4cos^3(t) - 3cos(t)
Answer:
566
Step-by-step explanation:
We can solve this equation using PEMDAS, first solving the exponent.
24^2 = 576
Now we can move onto the subtraction
576 - 3 = 573
573 - 7 = 566
