The answer would be A. 5x^2 + 3x + 4.
X = 4
Explanation:
sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)
sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15
sqrt(5x + x^2) + 5 + x = 15
sqrt(5x + x^2) = 10 - x
Take square of both sides
5x + x^2 = (10 - x)^2
5x + x^2 = 100 - 20x + x^2
Cancel x^2
5x = 100 - 20x
25x = 100
x = 4
Answer:
The length of a side of the base is 
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to

where
B is the area of the base of the prism
h is the height of the prism
we have


Substitute the values and solve for B



Remember that the base is a square
so


Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is
.
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that
and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is:
,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
B is the answer I’m pretty sure