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:
Answer:
its 21 obviously
Step-by-step explanation:
this is because
<em>![8 {6 \times 58964 \sqrt[45 \sqrt{66x3 \times \frac{?}{?} } ]{?} \times \frac{?}{?} }^{2}](https://tex.z-dn.net/?f=8%20%7B6%20%5Ctimes%2058964%20%5Csqrt%5B45%20%5Csqrt%7B66x3%20%5Ctimes%20%5Cfrac%7B%3F%7D%7B%3F%7D%20%7D%20%5D%7B%3F%7D%20%20%5Ctimes%20%5Cfrac%7B%3F%7D%7B%3F%7D%20%7D%5E%7B2%7D%20)
</em>
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Step-by-step explanation:
Let,
x be the gift wrapped with wrapping paper.
y be the gifts in gift bag.
Time for wrapping one gift = 6.5 minutes
Time for doing 1 gift bag = 3 minutes
Total gifts = 19
Total time = 74.5 minutes
According to given statement;
x+y=19
6.5x+3y=74.5
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly
Answer:
D
Step-by-step explanation:
I usually use a z-score table, but you can do this with a calculator.
If we go to a z-score table, we first look up the first two digits (in this case, 2.8) in the far left column. Then we find the hundredths digit in the top row (0.07). Where they intersect is P(z < 2.87).
P(z < 2.87) = 0.9979
Answer D.
