Answer:
-3=5
6=14
so it would be 6
Step-by-step explanation:
Answer:
It's C
Step-by-step explanation:
I just took the test
We have to present the number 41 as the sum of two squares of consecutive positive integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
16 + 25 = 41
<h3>Answer: 4 and 5</h3>
Other method:
n, n + 1 - two consecutive positive integers
The equation:
n² + (n + 1)² = 41 <em>use (a + b)² = a² + 2ab + b²</em>
n² + n² + 2(n)(1) + 1² = 41
2n² + 2n + 1 = 41 <em>subtract 41 from both sides</em>
2n² + 2n - 40 = 0 <em>divide both sides by 2</em>
n² + n - 20 = 0
n² + 5n - 4n - 20= 0
n(n + 5) - 4(n + 5) = 0
(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0
n = -5 < 0 ∨ n = 4 >0
n = 4
n + 1 = 4 + 1 = 5
<h3>Answer: 4 and 5.</h3>
Answer:
Step-by-step explanation:
3:9 = 1:3
1:7 = 2:14
12:4 = 24:8
20:5 = 40:10
Hope it helps!
Answer: 6.67 feet (check to see if you made a typo)
Step-by-step explanation:
if the scale factor is ten than we multiply 8 by 10
8 * 10 = 80
important to remember this is 80 INCHES not 80 FEET
to convert 80 inches into feet, we divide by 12 because there are 12 inches in a foot
80/12 = 6.67 feet
check to make sure that the first option is actually 6.67 inches because it would make more sense for it to be in feet
