Answer:
e = 2/5
a = 5
b = √21
c = 2
Step-by-step explanation:
The first step is to write the given polar equation in standard form by dividing the numerator and denominator by 5;
The eccentricity of this conic section is thus 2/5, the coefficient of cos theta. Nevertheless, the eccentricity of a conic section can also be evaluated using the equation;
This implies that ;
a = 5
c = 2
The value of b is determined using the relation;
Answer: 5/8 or 0.625
Step-by-step explanation:
3/2x1/4= 3/8
Then, 3/8x5/3= 15/24
15/24 simplified equals 5/8. 5/8 in decimal form is 0.625
Answer:
Then the solution is (-1/4, 3)
Step-by-step explanation:
Start by eliminating the fractional coefficient 1/4: multiply all 3 terms in the second equation by 4. This results in equation (b), below:
4x - 3y = -10 (a)
4x = y -4 (b)
Substitute y - 4 for 4x in equation (a):
y - 4 - 3y = -10
Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.
Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4
Then the solution is (-1/4, 3)
Answer: number 3 is 32 number 4 is 40 minutes
Step-by-step explanation:You see in number 3 it says a millipede has 14 more legs than a caterpillar. Also it states the total of the legs are 46. This means you must subtract. 46-14 is equal to 32. And for number 4 it states the total time of all her classes are 1 hour and 10 minutes. The yoga class is 30 minutes longer. This means you must subtract those 30 minutes from the 1 hour and 10 minutes. 1 hour and 10 minutes- 30 minutes is equal to 40 minutes. This is the answer.
Hope this helps!!
