Answer:
Width of the rectangle = 5 inches
Length of the rectangle = 20 inches
Step-by-step explanation:
Let us assume the width of the rectangle = m in
So, the length of the rectangle = 4 (Width) = (4 m) in
Perimeter of the rectangle = 50 inches
Now, Perimeter of the Rectangle = 2 (LENGTH + WIDTH)
⇒ 2( m + 4m) = 50
or, 2(5m) = 50
⇒ 10m = 50 or, m = 50/10 = 5
⇒ m = 5
So, the width of the rectangle = 5 inches
and the length of the rectangle = 4 m = 4 x 5 = 20 inches
the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.
The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.
In terms of hyperbola, F1F2=2c, c=20.
The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.
Use formula c^2=a^2+b^2c
2
=a
2
+b
2
to find b:
\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}
(20)
2
=(18)
2
+b
2
,
b
2
=400−324=76
.
The branches of hyperbola go in y-direction, so the equation of hyperbola is
\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1
b
2
y
2
−
a
2
x
2
=1 .
Substitute a and b:
\dfrac{y^2}{76}- \dfrac{x^2}{324}=1
76
y
2
−
324
x
2
=1 .
C.) x = -4 is the correct answer
Step-by-step explanation:
In order to solve the equation we have to isolate x on one side of equation
Given
7x + 6 = -22
Subtracting 6 from both sides
Dividing both sides by 7
Hence,
C.) x = -4 is the correct answer
Keywords: Linear equation
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Answer:
3 sips equal a gulp
Step-by-step explanation:
we have
----> equation A
Divide by 2 both sides
----> equation B
equate equation A and equation B
Group terms that contain the same variable
therefore
3 sips equal a gulp
