Eh yo creo que no, si estoy mal los siento
To calculate for the area of the triangle given all its side, use the Heron's formula which is,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is the area. a, b, and c are the measure of the sides and s the semi - perimeter or half of the perimeter.
With the given above, s = (17 + 18 + 21.4) / 2 = 28.2
Substituting the known dimensions to the Heron's formula,
A = sqrt ((28.2)(28.2 - 17)(28.2 - 18)(28.2 - 21.4)) = 148 units^3
Thus, the area of the triangle is 148 units^3.
Answer:
Both points do not lie on the same line
Step-by-step explanation:
<em>There's no drop down to select from. However, I'll answer the question based on whether Ernie's conclusion is correct or not.</em>
Given
Point 1:
(-1,4) and (0,0)
Slope: m = -4
Point 1:
(2,7) and (3,3)
Slope: m = -4
To determine if this conclusion is right or wrong; first, we need to determine the equation of both points using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
For Point 1
--- ![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
--- ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Slope: ![m = -4](https://tex.z-dn.net/?f=m%20%3D%20-4)
becomes
![y - 4 = -4(x - (-1))](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-4%28x%20-%20%28-1%29%29)
![y - 4 = -4(x +1)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-4%28x%20%2B1%29)
![y - 4 = -4x -4](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-4x%20-4)
Add 4 to both sides
![y - 4 + 4= -4x -4 + 4](https://tex.z-dn.net/?f=y%20-%204%20%2B%204%3D%20-4x%20-4%20%2B%204)
![y = -4x](https://tex.z-dn.net/?f=y%20%3D%20-4x)
For Point 2:
--- ![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
--- ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Slope: ![m = -4](https://tex.z-dn.net/?f=m%20%3D%20-4)
becomes
![y -7 = -4(x - 2)](https://tex.z-dn.net/?f=y%20-7%20%3D%20-4%28x%20-%202%29)
![y -7 = -4x + 8](https://tex.z-dn.net/?f=y%20-7%20%3D%20-4x%20%2B%208)
Add 7 to both sides
![y -7 +7= -4x + 8 + 7](https://tex.z-dn.net/?f=y%20-7%20%2B7%3D%20-4x%20%2B%208%20%2B%207)
![y = -4x + 15](https://tex.z-dn.net/?f=y%20%3D%20-4x%20%2B%2015)
Comparing both equations:
and ![y = -4x + 15](https://tex.z-dn.net/?f=y%20%3D%20-4x%20%2B%2015)
Both expressions are not equal.
<em></em>
<em>Hence, both points do not lie on the same line</em>
Answer:
C) 1 : 2
Step-by-step explanation:
We want to find the scale factor of the smaller figure to the larger figure.
The scat factor is given by:
image length: corresponding object length
This time the smaller shape is the image and the bigger shape is the object:
The scale factor is :
6:12
Divide each term of the ratio by 6 to get:
1:2
Our first function is g(x). <em>Al had two dozen donuts </em>means that <em>two dozen</em> is the y-intercept of this function. A dozen equals 12, therefore two dozens is 24. <em>Every cubicle he passed, he lost 2 donuts </em>is the slope of the function and it is negative, that is -2, thus:
![g(x)=-2x+24 \\ \\ \boxed{y-intercept = 24}](https://tex.z-dn.net/?f=g%28x%29%3D-2x%2B24%20%5C%5C%20%5C%5C%20%5Cboxed%7By-intercept%20%3D%2024%7D)
The second equation is h(x):
![h(x)=6x+1](https://tex.z-dn.net/?f=h%28x%29%3D6x%2B1)
So:
![\boxed{y-intercept=1}](https://tex.z-dn.net/?f=%5Cboxed%7By-intercept%3D1%7D)
From the graph, we can see that the f(x) intersects the y-axis at:
![\boxed{y-intercept=2}](https://tex.z-dn.net/?f=%5Cboxed%7By-intercept%3D2%7D)
Accordingly, h(x) has the lowest y intercept.
<em>In conclusion, the right answer is c.h(x)</em>