Step-by-step explanation:
parallel lines have the same gradient..
y=x+7 has a gradient of 1.
If line J which is parallel to k has a gradient of 1 then they are the same.
gradient (m) =<u>∆</u><u>y</u>
∆x
=<u>y- </u><u>-</u><u>1</u><u> </u> = 1
x - - 3
= <u>y </u><u>+</u><u> </u><u>1</u>
x+3
y+1=x+3
y=x +3 +1
y = x + 4(equation for k)
9514 1404 393
Answer:
72 kph
Step-by-step explanation:
The first sentence tells you the speeds are proportional. So, you can write the proportion ...
kph/mph = 120/75 = x/45
Multiplying by 45 gives x:
x = (45)(120/75) = 72
72 kph is 45 mph.
The given rational functions is graphed in the figure is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Here, a graph is given.
We need to find which of the given rational functions is graphed in the figure.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = 2 and at x = -5.
Corresponding to x = 2, factor is (x - 2) .
Corresponding to x = -5, factor is (x + 5) .
So, this graph is of the rational fraction
Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
Learn more about function here:
brainly.com/question/2253924
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For this case we have that the expression in its exact form is the same, that is:
If it is expressed in decimal form we have:
If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:
Answer:
