The vertex of f
(
x
) is at x = −
8/
2
= −
4
Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between 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)
Using distance formula, the distance between (-5,8) and (-3,1) is
![d=\sqrt{(-3-(-5))^2+(1-8)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-%28-5%29%29%5E2%2B%281-8%29%5E2%7D)
![d=\sqrt{(-3+5)^2+(-7)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3%2B5%29%5E2%2B%28-7%29%5E2%7D)
![d=\sqrt{(2)^2+(-7)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282%29%5E2%2B%28-7%29%5E2%7D)
![d=\sqrt{4+49}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B4%2B49%7D)
![d=\sqrt{53}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B53%7D)
Therefore, the distance between two points (-5,8) and (-3,1) is
units.
The measure of the largest angle of the triangular patch of grass is 81 degrees
<h3>Application of sine rule</h3>
In order to determine the measure of the largest angle, we will use the expression below;
![\frac{60}{sin26^0} =\frac{135}{sinx^0}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7Bsin26%5E0%7D%20%3D%5Cfrac%7B135%7D%7Bsinx%5E0%7D)
Cross multiply
135sin26 = 60sinx
sinx = 135sin26/60
sinx = 59.18/60
sinx = 0.986
x = 80.5 degrees
Hence the measure of the largest angle of the triangular patch of grass is 81 degrees
Learn more sine rule here; brainly.com/question/27174058
#SPJ1
Answer: 14
Step-by-step explanation:
131 (total cost of tickets)- 5 (service charge) = 126 cost of tickets
126/9= 14 dollars a ticket
(c= cost)
131-5=c
126/9=14
Hope this helped
Answer:
Step-by-step explanation:
A ball is the solid inside a surface which is a sphere.
The equation of a sphere has the form:
Where (h,k,s) is the center and r is the radius.
When we plug the given center (7,1,-1) and radius 3 we get:
Then we turn this into an inequality: Since the ball is inside the surface we must use the
symbol.
Then we just subtract 9 from both sides to get: