What is the distance between
(
3
,
−
4
)
and
(
6
,
9
)
?
Use the distance formula,
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
.
A.
5.83
B.
7.47
C.
10.25
D.
13.34
Using the distance formula:
d = √((6-3)^2 + (9-(-4))^2)
d = √(3^2 + 13^2)
d = √(9 + 169)
d = √178
d ≈ 13.34
Therefore, the distance between (3, -4) and (6, 9) is approximately 13.34 units. The answer is D.
S
e
e
h
o
w
a
n
n
o
y
i
n
g
v
e
r
t
i
c
a
l
t
e
x
t
i
s
?
You can create vertical text by rotating normal text 90 degrees using a text editor or word processing program that has a "rotate" or "text direction" feature. You can also use HTML or CSS code to rotate text on a webpage. Here's an example of rotating the text "Hello" vertically:
<p style="transform: rotate(90deg);">Hello</p>
This would display "Hello" vertically, like this:
H
e
l
l
o
To find the distance between two points, we can use the distance formula. The formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) = (3, -4) and (x2, y2) = (6, 9).
Substituting the values into the formula, we can calculate the distance:
d = √((6 - 3)^2 + (9 - (-4))^2)
= √(3^2 + 13^2)
= √(9 + 169)
= √178
≈ 13.34
So, the distance between (3, -4) and (6, 9) is approximately 13.34.
Therefore, the correct answer is option D. 13.34.