To solve this problem you must apply the proccedure shown below:
1. You have the following standard form for the hyperbola given in the problem above: <span> (x-2)^2/36 - (y+1)^2/64=1
</span> 2. Therefore, you can calculate the lengtn of the transverse axis as following:
Length of transverse axis=2a
a^2=36
a=√36
a=6
Length of transverse axis=2(6)=12
Then, the answer is:12
2y - x = 5
x^2 + y^2 - 25 = 0
x = 2y - 5
(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4
x = 2y - 5 , when y = 0
x = - 5
x = 2y - 5 , when y = 4
x = 8 - 5
x = 3
I am gonna have to go with Latisha's answer.
(x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.......and 4(-3) = -12, -3 + 4 = 1....and the factors are correct
Answer:
Each algebra book costs $60.
Step-by-step explanation:
A=bill for algebra books; S=bill for science books=A+$360
S+A=$3960 Substitute for S
A+$360+A=$3960 Subtract $360 from each side.
2A=$3600 Divide each side by 2.
A=$1800 The order for 30 algebra books cost $1800.
Individual book=A/30
individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.
Answer:Area of shaded region is 454.97
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area of circle = πr^2
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
r = 14
Area of the circle = 3.14 × 14^2 = 615.44
The shaded area is a sector
Area of a sector is expressed as
Area = #/360 × πr^2
Where
# = 94 = central angle
Area of sector = 94/360 × 3.14 × 14
= 160.68
Area of shaded region would be
615.44 - 160.68
= 454.97
