Hello from MrBillDoesMath!
Answer:
x = 19, y = 36
Discussion:
x + 3 = 22 (*)
2x - y = 2 (**)
Subtract 3 from both sides of (*)
x + 3 -3 = 22 = 3 = 19 =>
x = 19
Substitute x= 19 in (**)
2(19) - y = 2 =>
38 - y = 2 => (add y to both sides)
38 -y + y = 2 + y =>
38 = 2 + y => (subtract 2 from both sides)
38 -2 = 2 -2 + y =>
36 = y
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
<h2><em>y
2
+
6
y
−
16
=
(
y
+
8
)
(
y
−
2
)
</em></h2><h2 /><h2><em>Explanation:
</em></h2><h2><em>Note that in general:
</em></h2><h2 /><h2><em>(
y
+
a
)
(y
−
b
)
=
y
2
+
(
a
−
b
)
y
−
a
b
</em></h2><h2 /><h2><em>So we want to find a pair of factors a and b of 16 which differ by 6
. </em></h2><h2><em>The pair 8
,
2 works in that 8−
2
=
6 and 8
⋅
2=
16
.
</em></h2><h2 /><h2><em>Hence:
</em></h2><h2><em>
y
2
+
6
y
−
16
=
(
y+
8
)
(
y
−
2
)</em></h2><h2><em>y=2,-8</em></h2>
Answer:
The solution can be defined as follows:
Step-by-step explanation:
Wetland Percentage:
![0] 9\\\\1] None\\\\2] 0 4 7\\\\3] 0 3 5 5 5 7 8\\\\4] 2 2 5 5 8\\\\5] 0 0 1 1 5 9 9\\\\6] 0 8\\\\7] 1\\\\8] 7 7 9\\\\9] 0\\](https://tex.z-dn.net/?f=0%5D%209%5C%5C%5C%5C1%5D%20None%5C%5C%5C%5C2%5D%200%204%207%5C%5C%5C%5C3%5D%200%203%205%205%205%207%208%5C%5C%5C%5C4%5D%202%202%205%205%208%5C%5C%5C%5C5%5D%200%200%201%201%205%209%209%5C%5C%5C%5C6%5D%200%208%5C%5C%5C%5C7%5D%201%5C%5C%5C%5C8%5D%207%207%209%5C%5C%5C%5C9%5D%200%5C%5C)
- These details are very symmetrical, perhaps pretty biased.
- There might be a gap whereby shows that none of the 48 lowest states have lost 10 to 19% of all its wetlands.
- These statistics were distributed between 20% and 60%.