we are given two points as
(1.0, 2.0) and (1.0, 5.0)
so,
(x1, y1)= (1.0 , 2.0)
(x2, y2)= (1.0 , 5.0)
x1=1 , y1=2
x2=1 , y2=5
now, we can use distance formula
![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)
now, we can plug values
and we get
![d=\sqrt{(1-1)^2+(5-2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%281-1%29%5E2%2B%285-2%29%5E2%7D)
![d=\sqrt{(0)^2+(3)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%280%29%5E2%2B%283%29%5E2%7D)
![d=\sqrt{(3)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%283%29%5E2%7D)
![d=3](https://tex.z-dn.net/?f=d%3D3)
so, distance between points is 3...........Answer
-3 + 3n = -6 - 6n. Expand the brackets
3n + 6n = -6 + 3. Collect like terms
9n = -3
n = -3/9 = -1/3
Answer:
b = 9.1units
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of triangle
WX/XZ = WY/WX
Substitute;
b/a+5 = 6/b
b² = 6(a+5) ... 1
Also according to pythagoras theorem on triangle WYX;
b² = 6²+a²...2
Equate 1 and 2
6(a+5) = 6²+a²
6a+30 = 36 + a²
a²-6a+36-30 = 0
a²-6a+6 = 0
a = 6±√36+4(6)/2
a = 6±√60/2
a = 6±7.745/2
a = 13.745/2
a = 6.8725
Recall that
b² = 6²+a²
b² = 36+6.8725²
b² = 83.2313
b = 9.12units
b = 9.1units
Answer:
y = −
2
x − 8
Step-by-step explanation:
Write in slope-intercept form, y
=
m
x
+
b
.
Answer:
They purchased 14 adult tickets and 4 kids tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars.