First, we have to solve for x by isolating it on one side.
6x + 10 = -8
(Subtract 10 from both sides)
6x = -18
(Divide both sides by 6)
x = -3
On option C, x is on -3, so that would be the correct answer
The line VS is middle line of that trapezoid, so you know that it is
VS= (WR+UT)/2
so we will get that it is:
<span>40= (x^2+2 +2x^2+3)/2
x = 5
Therefore,
x^2 + 2
5^2 + 2
25 +2
27 <----- OPTION 2
Hope this answers the question.</span>
Answer:
![\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B55000%5E2%7D%20-%20%5Cfrac%7By%5E2%7D%7B59464%5E2%7D%20%3D1)
Step-by-step explanation:
the transverse axis is horizontal.
so its a horizontal hyperbola
Center is the origin so center is (0,0)
Equation of horizontal hyperbola is
![\frac{x^2}{a^2} - \frac{y^2}{b^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%20-%20%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D1)
Given a= 55000 and c= 81000
c^2 = a^2 + b^2
81000^2 = 55000^2 + b^2
subtract 55000^2 on both sides
b = sqrt(81000^2 - 55000^2)= 59464.27
now plug in the values
![\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B55000%5E2%7D%20-%20%5Cfrac%7By%5E2%7D%7B59464%5E2%7D%20%3D1)
Calculate the mean of this data set: 12, 35, 44, 74, 23, 49, 45, 18, 90, 56, 84,
Blababa [14]
Well, here is the mean of ur data collected 48.181818...
let's first off take a look at the <u>tickmarks</u>, three <u>side tickmarks</u>, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.
there are two <u>angle tickmarks</u>, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.
now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.
let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.
the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then
30° + a° + a° = 180°
30 + 2a = 180
2a = 150
a = 75° = y
now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.
well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.