Answer:
length=92yd
width=49yd
Step by step:
2l+2w=282
l=2w-6
Plug in l
2(2w-6)+2w=282
4w-12+2w=282
6w-12=282
6w=282+12
w=294/6
w=49
Then plug in w
2l+2(49)=282
2l+98=282
2l= 184
l=92
Answer:
x⁵/³y
Step-by-step explanation:
x⁵/³y is equivalent to ³✓x⁵y.
John owes 15 dollars to Bill, then another 2 dollars to Joey. How much money does John have?
Since John has 0 dollars to give, he has (-15)+(-2) =-17 dollars (as 15+2=17, so the same can be applied negatively) as the first 17 dollars he gets has to be given to Bill and Joey
Answer:
C. Starting with a given set of rules and figuring out what must be true
. TRUE
Step by step explanation:
Mathematical Induction
Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.
Here, we assume the statement to be true for a smaller natural number (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.
Now, from the given options:
A. Writing down the steps to solve a complicated math problem
.
FALSE as the induction method is based on ASSUMPTION and INDUCTION.
B. Forming rules based upon observations and experiences
.
FALSE as the induction method is based on ASSUMPTION and INDUCTION. We need to induce the needed statement or Result.
C. Starting with a given set of rules and figuring out what must be true
.
TRUE as the induction method is based on ASSUMPTION and INDUCTION.
We try and find out the result with the given existing data.
D. Reducing the solution to a problem in lowest terms.
FALSE as the induction method is based on ASSUMPTION and INDUCTION.
Answer:3/2 + t - 5
Step-by-step explanation:
1/2(3+4t-10)
Open brackets
3/2 + 4t/2 - 10/2
3/2 + t - 5
