In interval notation<span>, you write this </span>solution<span> as (–2, 3]. not sure </span>
Step-by-step explanation:
Given that,
A quadratic equation,
2x(x + 1.5) = -1
We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as
.
So,

Here, a = 2, b = 3 and c = 1
The roots of the given equation can be given by :

Putting all the values we get :

So, the roots of the given equation is -1/2 and -1.
Answer: u mean r=0
Step-by-step explanation:
Answer:
The formula for the volume of a prism is V = Bh
where,
B is the base area
h is the height.
Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h
Assumptions:
Length, L and Width, B cannot be the same.
1.
h = 4 ft
B = 2 ft
L = 9 ft
2.
h = 4 ft
B = 3 ft
L = 6 ft
3.
h = 6 ft
B = 2 ft
L = 6 ft
4.
h = 2 ft
B = 2 ft
L = 18 ft
Step-by-step explanation:
Answer:
There are two choices for angle Y:
for
,
for
.
Step-by-step explanation:
There are mistakes in the statement, correct form is now described:
<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>
The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:
(1)
If we know that
,
and
, then we have the following second order polynomial:

(2)
By the Quadratic Formula we have the following result:

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:



1) 
![Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]](https://tex.z-dn.net/?f=Y%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B18%5E%7B2%7D%2B14%5E%7B2%7D-15.193%5E%7B2%7D%7D%7B2%5Ccdot%20%2818%29%5Ccdot%20%2814%29%7D%20%5Cright%5D)

2) 
![Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]](https://tex.z-dn.net/?f=Y%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B18%5E%7B2%7D%2B14%5E%7B2%7D-8.424%5E%7B2%7D%7D%7B2%5Ccdot%20%2818%29%5Ccdot%20%2814%29%7D%20%5Cright%5D)

There are two choices for angle Y:
for
,
for
.