Pls translate the verbal phrase into an algebraic expression
1 answer:
You might be interested in
Answer:
c, d and e
Step-by-step explanation:
A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.
Option a:
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option b:
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option c:
Here, the highest exponent of the variable is 2.
So, it is NOT a linear expression.
Option d:
Here, the exponent of the variable is 2.
So, it is NOT a linear expression.
Option e:
Here, sum of exponents of variables is 2.
So, it is NOT a linear expression.
Hence, c, d and e are NOT algebraic expressions.
Answer:
The answer is below
Step-by-step explanation:
The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:
Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²
Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.
Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3
co-vertices = (h, k±b) = (0, ±b) = (0, ±4). b = 4
c² = a² - b²
a² = c² + b²
a² = 3² + 4² = 25
a = 5
Therefore the equation of the ellipse is: