Answer:
4 and 5
Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"
X + Y = 9 {equation 1}
X² + Y² = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x² + (9-x)² = 41
x² + 81 - 18x + x²= 41
2x² - 18x + 40 = 0
We can factor out a 2
x² - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
checking
Your two numbers are 4 and 5
4² + 5²
= 16 + 25
= 41
Answer:
apple = 4
blackberry =5
Step-by-step explanation:
Let a = apple pie cost
b =blackberry pie cost
4a +9b = 61
7a +6b = 58
Multiply the first equation by 7
7(4a +9b) = 61*7
28a +63b = 427
Multiply the second equation by -4
-4(7a +6b) = 58*-4
-28a -24b = -232
Add these two new equations together to eliminate a
28a +63b = 427
-28a -24b = -232
-----------------------------
0a +39b =195
Divide each side by 39
39b/39 = 195/39
b= 5
Now we need to find a
4a +9b = 61
4a +9(5) = 61
4a +45 = 61
4a+45-45 =61-45
4a = 26
Divide by 4
4a/4 =16/4
a = 4
You want to begin by changing your units to the same thing. The problem uses minutes and hours, and according to time 1 hour is 60 minutes.
Since we have 2 hours we want to multiply 60 by 2 to get 120. According to the problem, the biker to an extra 30 minutes and adding that to the time we already calculated we get 150.
We can say, the biker took 150 minutes to go through 45 miles. To find out how many miles he took per minute, we divide them (45/150) to get that he or she went through 0.3 miles per minute.
Again, we know 1 hour is 60 minutes, so to get how many miles per hour we want to multiply .3 by 60. This gets us 18.
Therefore, the biker travels 18 miles per hour
Answer:
it is D
Step-by-step explanation:
Answer:
Step-by-step explanation:
(2x+y)(3x²+y)=2x(3x²+y)+y(3x²+y)=6x³+2xy+3x²y+y²=6x³+3x²y+2xy+y²
