Response:
Please refer to the detailed explanation below.
Detailed Breakdown:
C+++ CODE:
#include<bits/stdc++.h>
using namespace std;
//function implementation to calculate ways
int calculateWays(int wordlen , int maxvowels)
{
//for max vowels equals zero, compute the ways
if(maxvowels==0)
{
int ways = 1;
//loop to compute the number of ways
for(int i=0 ; i<wordlen ; i++)
{
ways *= 21;
}
return ways;
}
else
{
if(wordlen==1)//if word length is 1
{
int c = 1, v = 1;
int ways = c*21 + v*5; //calculating total ways
return ways;
}
else // when both max vowels and word length surpass 1
{
int ways = 0;
//loop for computation
for(int i=0 ; i<wordlen ; i++)
{
int c = 1, v = 1;
for(int j=0 ; j<wordlen-maxvowels ; j++)
{
c *= 21;
}
for(int k=0 ; k<maxvowels ; k++)
{
v *= 5;
}
ways += (v*c); //calculate ways with vowels
}
int ways1 = 1;
for(int i=0 ; i<wordlen ; i++)
{
ways1 *= 21; //calculating ways without vowels
}
return ways + ways1 ; //returning total ways
}
}
}
int main()
{
int wordlen, maxvowels; // declaring variables
cin>>wordlen>>maxvowels; // capturing user inputs
int ways = calculateWays(wordlen, maxvowels); //invoking the function compute
cout<<ways; //displaying the computed ways
return 0;
}
Please refer to the images below for the code screenshot and its output.
Answer:
Step-by-step explanation:
A polynomial is in its standard form when arranged in descending order based on the variable involved.
Looking at the provided polynomial
Thus, the first term of the polynomial should meet these criteria:
The following meets these requirements:
The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".
Explanation:
It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)
DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,
Consequently, the first statement holds true.
Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.
Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.
The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.
Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.