Answer:
sqrt(97)
Step-by-step explanation:
Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".
To do that, we can use the Pythagorean theorem, where <em>(change in x)^2+(change in y)^2 = (distance)^2:</em>
(5-(-4))^2+(3-7)^2=d^2
(9)^2+(-4)^2=d^2
81+16=d^2
97=d^2
d=sqrt(97).
X - unit of length
w,l - the sides of a rectangle
7 : 2 ⇒ 7x : 2x
Perimeter: P = 207cm
Perimeter: P = 2w + 2l
therefore: 2w + 2l = 207 |divide both sides by 2
w + l = 103.5 (cm)
w : l = 7 : 2 ⇒ w : l = 7x : 2x ⇒ w = 7x; l = 2x
subtitute
7x + 2x = 103.5
9x = 103.5 |divide both sides by 9
x = 11.5 (cm)
7x = 7 · 11.5cm = 80.5cm
2x = 2 · 11.5cm = 23cm
w = 80.5cm; l = 23cm
Area = wl
Area: A = 80.5cm · 23cm = 1851.5cm²
Answer:
5/11
explanation
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
Answer:
table D
Step-by-step explanation:
the value in the y axis moves by the same amount each time.
