Answer:
<em>Step 1: 4 x − 3 − 2 x − 10 </em>
<em>Step 2: 2 x − 13</em>
Step-by-step explanation:
Given the expression;
(4 x − 3) − 2 (x + 5)
The following steps/ procedure are to be taken when simplifying the expression.
open the parenthesis
(4 x − 3) − 2 (x + 5)
= 4x-3 -2(x)-2(5)
= 4x-3-2x-10
collect the like terms
= 4x-2x-3-10
simplify the resulting expression
= 2x-13
Hence the procedure that correctly simplifies the expression are:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is 
.
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by ![b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%20a%5E%7B2%7D%28e%5E%7B2%7D%20%20-%201%29%20%3D%204%5B%28%5Cfrac%7B5%7D%7B2%7D%20%29%5E%7B2%7D%20-1%5D%20%3D%2021)
{Since 
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
Given parameters:
Total length of curtains bought = 20m
She used 8m for the living room
She used 7m for the dining room
unknown:
Quantity used for the kitchen = ?
Solution:
Quantity used for the kitchen = Total length - (living room + dining room)
Input the parameters given solve;
Quantity used for the kitchen = 20 - (8 + 7) = 5m
The length of curtain used for the kitchen is 5m
Answer:
CD = 7
Step-by-step explanation:
Since D is on the line segment CE then
CE = CD + DE , substitute values
2x = x + 7 ( subtract x from both sides )
x = 7
Thus
CD = x = 7
