12/15 = 8/x
Cross multiply:
12*x = 8*15
⇒ 12*x= 120
⇒ (12/12)*x = 120/12
⇒ x= 10.
Final answer: x=10.
Hope this helps~
Answer: (x^2)/25 + (16y^2)/375) = 1
Step-by-step explanation:
since foci are symetrically located on x-axis about origin, the equation of the ellipse must be of the following form:
(x^2)/(a^2) + (y^2)/(b^2) = 1, where a = semi-major axis, and b = semi-minor axis,
and: e = eccentricity = sqrt(a^2 - b^2)/a = 0.25; foci located at (+/- sqrt(a^2 - b^2),0) = (+/- 1.25,0)
---> sqrt(a^2 - b^2) = 1.25 ---> 1.25/a = 0.25 ---> a = 1.25/0.25 ---> a = 5; and sqrt(a^2 - b^2) = 1.25 = 5/4
---> a^2 - b^2 = (5/4)^2 = 25/16; or 5^2 - b^2 = 25/16 ---> 25 - b^2 = 25/16;
---> b^2 = 25 - (25/16) = 25[1 - 1/16] = 25(15)/16 = 375/16
---> (x^2)/25 + (y^2)/(375/16) = 1 ---> (x^2)/25 + (16y^2)/375) = 1
Hope this help...and correct it's been awhile..Let me know
Answer: Determine any data values that are missing from the table, assuming that the data represent a linear function. x y -1 2 0 3 4 2 a. Missing x:1 Missing y:2 c. Missing x:1 Missing y:6 b. Missing x:1 Missing y:5 d. Missing x:2 Missing y:5 Please select the best answer from the choices provided A B C D
Step-by-step explanation: Determine any data values that are missing from the table, assuming that the data represent a linear function. x y -1 2 0 3 4 2 a. Missing x:1 Missing y:2 c. Missing x:1 Missing y:6 b. Missing x:1 Missing y:5 d. Missing x:2 Missing y:5 Please select the best answer from the choices provided A B C D
A because 1.6 is less than 2.4, 2.2, and 2.6
Option C: (x+4) and (x-1) are the factors of the equation
Explanation:
Given that the equation is 
We need to determine the factors of the equation.
Splitting the middle term, we get,
Grouping the terms, we have,
Let us factor out the term (x+4), we have,
Thus, the factors of the equation are (x+4) and (x-1)
Hence, Option C is the correct answer.
