Answer:
Distance is
units
Step-by-step explanation:
Use the distance formula which is
where
is the distance between points
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
We are given that
is
and
is
, therefore the distance between the two points is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![d=\sqrt{(-23-(-6))^2+(-24-(-23))^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-23-%28-6%29%29%5E2%2B%28-24-%28-23%29%29%5E2%7D)
![d=\sqrt{(-23+6))^2+(-24+23))^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-23%2B6%29%29%5E2%2B%28-24%2B23%29%29%5E2%7D)
![d=\sqrt{(-17)^2+(-1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-17%29%5E2%2B%28-1%29%5E2%7D)
![d=\sqrt{289+1}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B289%2B1%7D)
![d=\sqrt{290}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B290%7D)
Therefore, the distance between
and
is
units.
Answer:
1/2 of the lasagna was left or 6/12
Step-by-step explanation:
Her family ate 1 whole pan of the first lasagna and 1/2 of the second pan. If they ate 1/2 from the second pan then there will be 1/2 left or in this case 6/12 because she cut it in 12 pieces.
Hope this helped :)
Answer:
x = 50
Step-by-step explanation:
Since MNP is a tangent to the circle at N, then
∠ ONP = 90° , so
∠ ONL = 90° - 55° = 35°
OL = ON ( both radii of the circle )
Thus Δ ONL is isosceles and the base angles are congruent
∠ OLN = ∠ ONL = 35°
JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is
∠KJN + ∠ KLN = 180 , substitute values
95 + 35 + x = 180
130 + x = 180 ( subtract 130 from both sides )
x = 50
Answer:
is all the equations together or you need to solve each seperately?
Answer:
f(x) = ![x = \frac{y^{2} - 1}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7By%5E%7B2%7D%20-%201%7D%7B2%7D)
g(x) = 1
Step-by-step explanation:
y = (2x + 1)^1/2
![y^{2} = 2x + 1](https://tex.z-dn.net/?f=y%5E%7B2%7D%20%3D%202x%20%2B%201)
![y^{2} - 1 = 2x](https://tex.z-dn.net/?f=y%5E%7B2%7D%20-%201%20%3D%202x)
![\frac{y^{2} - 1}{2} = x](https://tex.z-dn.net/?f=%5Cfrac%7By%5E%7B2%7D%20-%201%7D%7B2%7D%20%3D%20x)
y = x - 1
y + 1 = x