The attached graph represents the image of the triangles
<h3>How to dilate the triangle?</h3>
To do this, we make use of the following coordinates
A = (1, 0)
B = (5, 0)
C = (1, 6)
The lengths of the triangle are calculated using
![d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2%20-x_1%29%5E2%20%2B%20%28y_2%20-y_1%29%5E2)
So, we have:
![AB = \sqrt{(1-5)^2 + (0 -0)^2} = 4](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%281-5%29%5E2%20%2B%20%280%20-0%29%5E2%7D%20%3D%204)
![BC = \sqrt{(1-5)^2 + (6 -0)^2} = 7.2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%281-5%29%5E2%20%2B%20%286%20-0%29%5E2%7D%20%3D%207.2)
![AC = \sqrt{(1-1)^2 + (6 -0)^2} = 5](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B%281-1%29%5E2%20%2B%20%286%20-0%29%5E2%7D%20%3D%205)
Using the scale factor of 2, we have the image of the dilation to be:
D = (2, 0)
E = (10, 0)
F = (2, 12)
The lengths of these sides are
DE = 8
EF = 14.4
DF = 10
See attachment for the image of the triangles ABC and DEF
Read more about dilation at:
brainly.com/question/14245809
#SPJ1
This is how you answer it
"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equations:
![y=\left(\frac{1}{2} \times x\right)-3](https://tex.z-dn.net/?f=y%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20x%5Cright%29-3)
![y=\left(-\frac{1}{2} \times x\right)-3](https://tex.z-dn.net/?f=y%3D%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20x%5Cright%29-3)
As we know that the slope intercept form of a line is
y = m x + c
So, from equation 1 and equation 2 we can see that
![m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3](https://tex.z-dn.net/?f=m_%7B1%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cquad%20%5Ctext%20%7B%20and%20%7D%20c_%7B1%7D%3D-3)
![m_{2}=-\frac{1}{2} \text { and } c_{2}=-3](https://tex.z-dn.net/?f=m_%7B2%7D%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Ctext%20%7B%20and%20%7D%20c_%7B2%7D%3D-3)
So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.
Answer:
-7
Step-by-step explanation: