Answer:
(2,2) , (0,0), (5,3)
Step-by-step explanation:
To check which points are solution to the system of inequalities, substitute the value of those points in the two inequalities and make sure are both true.
y ≤ x
y > -x +1
Point (x=2, y=2)
2 ≤ 2 ✅
2 > -2 +1 ⇒ 2 > -1 ✅
Because both inequalities are true using the coordinates of this point then the point IS a solution to the system of inequalities.
Point (x= -2, y=2)
2 ≤ -2 ❌
We stop checking because we need both inequalities to work. This point IS NOT a solution.
Point (x=0, y=0)
0 ≤ 0 ✅
0 > -0 +1 ⇒ 2 > 1 ✅
This point IS a solution.
Point (x=0, y=5)
5 ≤ 2 ❌
This point IS NOT a solution.
Point (x=2, y= -2)
-2 ≤ 2 ✅
-2 > -2 +1 ⇒ -2 > -1 ❌
This point IS NOT a solution.
Point (x=5, y=3)
3 ≤ 5 ✅
3 > -5 +1 ⇒ 3 > -4 ✅
This point IS a solution.
Point (x=4, y= -3)
-3 ≤ 4 ✅
-3 > -4 +1 ⇒ -3 > -3 ❌
This point IS NOT a solution.
Point (x=-2, y=-2)
-2 ≤ -2 ✅
-2 > - -2 +1 ⇒ -2 > 2+1 ⇒ -2 >3 ❌
This point IS NOT a solution.
Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
Answer:
6 times larger
Step-by-step explanation:
First, find the area of both.
Mary: 4*5.5=22
Lisa: 24*5.5=132
Then find what multiplied by 22 would equal 132. This is easy because it's a multiple-choice question.
22*20=440, so A is incorrect
We already know they are not equal, so then B can be crossed out
22*3=66, C would be incorrect
Leaving the only choice left to be the correct answer
22*6=132
Answer:
(176, 193)
Step-by-step explanation:
Well you forgot to put in the choices, but:
The difference between the numbers is 17. Let's call the smaller number x and the bigger one y
(x + y) = 369
y = x + 17
(x + (x + 17)) = 369
2x + 17 = 369
2x = 352
x = 176
y = x + 17 = 193
Answer:
3(3x^2−y)(16x^2−27y)
Step-by-step explanation:
I used a website to get the answer.
