180 ≥ 45 + 15x
<u> -45</u> <u>-45 </u>
135 ≥ 15x
9 ≥ x
x ≤ 9
Answer: D
66 < 2x + 28
<u>-28 </u> <u> -28 </u>
38 < 2x
19 < x
x > 19
Answer: C <em>the answer could also be B</em>
11 < 5 + 2x
<u>-5</u> <u>-5 </u>
6 < 2x
3 < x
x > 3
Answer: E <em>the answer could also be A, B, and C</em>
-30 ≥ 6 - 4x
<u> -6</u> <u> -6 </u>
-36 ≥ -4x
9 ≤ x
x ≥ 9
Answer: A
- 4 ≥ 5
<u> + 4 </u> <u>+ 4 </u>
≥ 9
12
≥ 12(9)
x ≥ 108
Answer: B
First deducte his contribution
7,058−7,058×0.70
=2,117.4
Then find weekly deduction
2,117.4÷52
=40.72
Answer:
0
Step-by-step explanation:
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Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,
a
2
+
b
2
=
c
2
, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. The relationship of sides
|
x
2
−
x
1
|
and
|
y
2
−
y
1
|
to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,
|
−
3
|
=
3
. ) The symbols
|
x
2
−
x
1
|
and
|
y
2
−
y
1
|
indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.
c
2
=
a
2
+
b
2
→
c
=
√
a
2
+
b
2
It follows that the distance formula is given as
d
2
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
→
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
We do not have to use the absolute value symbols in this definition because any number squared is positive.
A GENERAL NOTE: THE DISTANCE FORMULA
Given endpoints
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
, the distance between two points is given by
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Step-by-step explanation:
