<h3>
Answer:</h3>
2xy
<h3>
Step-by-step explanation:</h3>
GCF stands for the greatest common factor.
Finding All Factors
To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.
- The factors of 18 include: 1, 2, 3, 6, 9 and 18
- The factors of 32 include: 1, 2, 4, 8, 16, and 32
Next, lay out the variables that are factors.
- The variables of 18xy are x and y.
- The variables of 32xyz are x, y, and z.
Remember that variables count as factors
Greatest Common Factor
Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.
In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.
The volume would be 840 feet
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.
The correct answer is A.
To create the line linger than AB, a straightedge was used.
To measure AB, a protractor was used.
This is how CD was created.
Best of Luck!
