Answer/Step-by-step explanation:
∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.
This,


Solve for x






Use the value of x to find AC and DC


Answer:
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
In the number line, 4.2 is between 4 and 5 but it is closer to 4. The answer is that 4.2 round to 4.
Okay, so slope intercept form is y=mx+b. Like a normal problem with numbers, you add or subtract from each side.
3x-2y= -16
you want to leave the y by itsself, so your going to add 3x to 16, but write it out how the formula is (y=mx+b). now, you should have -2y= -3x-16. (the three is now negative because you moved it to the other side of the equation.)
now, remember that you want the y all by itself, so, all you have to do now is divide.
-2y= -3x-16 ---------- now is y= -3/-2x minus 16/-2. (those are now fractions, but the y is alone.) now you simplify.
-3/-2x is already simplified, but 16/-2 is not so it changes into -8,after dividing the fraction.
now you have the answer.
y= -3/2x-8x (it is the same as the formula now!)
hope this helps! it was hard to explain through typing but if you read it carefully, i explained every step.
Answer:
The slope also increases
Step-by-step explanation:
The slope of a function is the ratio of change in y to change in x. For an exponential function f(x) = e^x, the slope of the function is equal to the function, i.e slope = e^x.
For a function represented by
, this is an exponential function representing growth, the slope of
is also
, therefore as the value of x increases, the value of the slope also increases.
At x = 1, slope = 2^1 = 2, At x = 4, slope = 2^4 = 16.