Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft
Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side
We are given that:
area = 120 ft²
Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft
Hope this helps :)
Given:
The expression is:
![2b^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5)
To find:
The value of the given expression when
.
Solution:
We have,
![2b^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5)
Substituting
in the above expression, we get
![2b^3+5=2(3)^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D2%283%29%5E3%2B5)
![2b^3+5=2(27)+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D2%2827%29%2B5)
![2b^3+5=54+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D54%2B5)
![2b^3+5=59](https://tex.z-dn.net/?f=2b%5E3%2B5%3D59)
Therefore, the value of given expression at
is 59.
Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
<h3>1) GRAPH</h3>
We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
<h3>2) FORMULA</h3>
General form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
Answer:
x = 1/2 y = -5/2
Step-by-step explanation:
Since we already know an equation for y, we just need to plug it into the other equation.
21x - 7(-5x) = 28
21x + 35x = 28
56x = 28
x = 1/2
Now that we know x, we substitute it into the other equation, to find y.
y = -5x
y = -5(1/2)
= -5/2
Answer:
tggggggggggggggggggggggggggggggg
Step-by-step explanation:
hhvvvvvvvgggggggggg
vvvvvggfffffffffrrrfffffffffffffff