Answer:
Ok
Step-by-step explanation:
I will help you or maybe
Answer:
f(x) = -5x + 4
Domain refers to the values of x that would result to a defined value of y. Since the given f(x) is a linear function, then all the values of x would give a corresponding value of y. So, the domain of f(x)=-5x+4 are all real numbers.
Or, plot the given equation to check.
The graph of f(x)=-5x+4 is shown below.
Since the graph is a straight line and can be extended continuously on both ends, this indicates that every values of x, there is a corresponding value of y.
Hence, the domain of the given function are all real numbers.Step-by-step explanation:
Answer:
10.38 in
Step-by-step explanation:
Long side would be opposite to 60°.
Since, side opposite to 60° is root 3 upon 2 times of hypotenuse.
![9 = \frac{ \sqrt{3} }{2} \times hypotenuse \\ \\ hypotenuse = \frac{9 \times 2}{ \sqrt{3} } \\ = \frac{18}{ \sqrt{3} } = \frac{18 \sqrt{3} }{3} = 6 \sqrt{3} = 6 \times 1.73 \\ \: \: \: \red{ \bold{hypotenuse = 10.38 \: in}}](https://tex.z-dn.net/?f=9%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Ctimes%20hypotenuse%20%5C%5C%20%20%5C%5C%20hypotenuse%20%3D%20%20%5Cfrac%7B9%20%5Ctimes%202%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B18%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%3D%20%20%5Cfrac%7B18%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%20%3D%206%20%5Csqrt%7B3%7D%20%20%3D%206%20%5Ctimes%201.73%20%5C%5C%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5Cred%7B%20%5Cbold%7Bhypotenuse%20%3D%2010.38%20%5C%3A%20in%7D%7D)
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
![4 :x = 8 : 6 \\ \\ \frac{4}{x} = \frac{8}{6} \\ \\ x=4* \frac{6}{8}=3 ](https://tex.z-dn.net/?f=4%20%3Ax%20%3D%208%20%3A%206%20%5C%5C%20%20%5C%5C%20%0A%20%5Cfrac%7B4%7D%7Bx%7D%20%3D%20%5Cfrac%7B8%7D%7B6%7D%20%20%5C%5C%20%20%5C%5C%20%0Ax%3D4%2A%20%5Cfrac%7B6%7D%7B8%7D%3D3%20%0A)
Therefore,
the length of DE will be 3 units
The question is proportional because oleg runs at a constant rate, of 8.8 miles in 80 minutes, or 6.6 mph