The required x and y intercepts of the given function are 2 and 4 respectively.
Given that,
To determine the x- and y-intercepts for the following equation 4x + 2y = 8.
<h3>What are functions?</h3>
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given equation,
4x + 2y = 8.
put x = 0
2y = 8
y = 4
Now.
put y = 0
4x = 8
x = 2
Thus, the required x and y intercepts of the given function are 2 and 4 respectively.
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Answer:
40, 42 and 44
Step-by-step explanation:
Mark these even consecutive integers as (2n-2), 2n and (2n+2)
Note that since they are integers, n > 0 and 2n is always even
Writing the equation
(2n-2) * 2n = 38 * (2n+2) + 8
// divide both sides by 2
(2n-2) * n = 19 * (2n+2) + 4
- 2n = 38n + 38 + 4
- 2n - 38n - 38 - 4 = 0
- 40n - 42 = 0
// divide both sides by 2
<u />
- 20n - 21 = 0
// rewrite the equation
<u></u> + n - 21n - 21 = 0
n * (n+1) - 21n - 21 = 0
n * (n+1) - 21 * (n+1) = 0
(n+1) * (n-21) = 0
// separate the two possible cases
n + 1 = 0 and n - 21 = 0
n = -1 n = 21
Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21
Calculating the consecutive even integers
2n - 2 = 2 * 21 - 2 = 40
2n = 2 * 21 = 42
2n + 2 = 2 * 21 + 2 = 44
K= change in y/ change in x
K= (30-18)/(5-3)
K=12/2
K=6
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
