"8 in., 15 in., 17 in." is a right triangle and "<span><span>4 in., 15 in., 17 in.</span>" is not a right triangle. Hope this helps!</span>
Answer:
The pairs are (13,15) and (-15,-13).
Step-by-step explanation:
If n is an odd integer, the very next odd integer will be n+2.
n+1 is even (so we aren't using this number)
The sum of the squares of (n) and (n+2) is 394.
This means
(n)^2+(n+2)^2=394
n^2+(n+2)(n+2)=394
n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2
Combine like terms:
2n^2+4n+4=394
Subtract 394 on both sides:
2n^2+4n-390=0
Divide both sides by 2:
n^2+2n-195=0
Now we need to find two numbers that multiply to be -195 and add up to be 2.
15 and -13 since 15(-13)=-195 and 15+(-13)=2
So the factored form is
(n+15)(n-13)=0
This means we have n+15=0 and n-13=0 to solve.
n+15=0
Subtract 15 on both sides:
n=-15
n-13=0
Add 13 on both sides:
n=13
So if n=13 , then n+2=15.
If n=-15, then n+2=-13.
Let's check both results
(n,n+2)=(13,15)
13^2+15^2=169+225=394. So (13,15) looks good!
(n,n+2)=(-15,-13)
(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!
Answer:
Step-by-step explanation:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
And the cost of 6 soft drinks can be represented with this expression:
Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
<em>[Equation 1]</em>
The following expression represents the the cost of 3 soft drinks:
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
<em> [Equation 2]</em>
Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink
Answer:
5
Step-by-step explanation:
When two lines are crossed by another line (the transversal), the pair of angles on the opposite and inner side of each of those two lines
are called Alternate Interior Angles. Therefore 5 is the alternate interior angle to 4.
Answer
Step-by-step explanation
You would use the pythagorean theorem for this problem. The point on the y-axis is 5 away from (0,0). The point on the x-axis is 3 away. You would square these, leading from
5+3 to
25+9=
Answer is .
