Answer: The y-intercept is -8
Step-by-step explanation:
It's simple to understand once you memorize the slope intercept formula!
y=mx+b
m stands for the slope which is rise/run
The b is the y-intercept, which is the answer you are looking for! the y-intercept is where the line crosses the y-axis!
Answer:
The graph is compressed vertically.
Step-by-step explanation:
The parent function is f(x) = |x|.
Now, some of the solution of this function are
At x = 0, f(x) = 0
At x = 1, f(x) = 1
At x = 2, f(x) = 2
At x = - 1, f(x) = 1
Now, if we replace, f(x) by 3f(x), then we get the equation .
Now, the few solutions of the function are
At x = 0, f(x) = 0
At x = 1,
At x = 2,
At x = - 1,
Therefore, the f(x) values are reduced by the factor .
So, the graph is compressed vertically. (Answer)
Answer: l
=
16
,
b
=
10
Explanation:
Step-by-step explanation:
Perimeter of rectangle is
p
=
2
(
l
+
b
)
=
52
,
l
is length and
b
is breadth.
Area of rectangle is
A
=
l
⋅
b
=
160
∴
l
=
160
b
;
∴
2
(
160
b
+
b
)
=
52
or
(
160
b
+
b
)
=
26
or
160
+
b
2
b
=
26
or
160
+
b
2
=
26
b
or
b
2
−
26
b
+
160
=
0
or
b
2
−
16
b
−
10
b
+
160
=
0
or
b
(
b
−
16
)
−
10
(
b
−
16
)
=
0
or
(
b
−
16
)
(
b
−
10
)
=
0
∴
b
=
16
or
b
=
10
If
b
=
16
;
l
=
160
16
=
10
and if
b
=
10
;
l
=
160
10
=
16
The dimension of rectangle is
l
=
16
,
b
=
10
[Ans]
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the circle.
The formula for determining the circumference of the circle is expressed as
Circumference = 2πr
If the circumference of the inner circle is 44ft, the radius of the inner circle would be
2πr = 44
2 × 3.14 × r = 44
r = 44/6.28 = 7
The radius of the outer circle would be 7 + 3 = 10ft
Therefore, the circumference of the outer circle would be
2 × 3.14 × 10 = 62.8 ft
The difference in the circumference of the inner circle and the outer circle is
62.8 - 44 = 18.8 ft