Answer:
I think the answer is C but I'm not 100% sure
<span>2x + 5 = 27
subtract 5 to both sides
2x + 5 - 5 = 27 - 5
simplify
2x = 22
divide both sides by 2
2x/2 = 22/2
simplify
x = 11
answer is </span><span>11 (second choice)
</span>
hope that helps
Answer:
b = -3/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2b + 5 = 2
<u>Step 2: Solve for </u><em><u>b</u></em>
- Subtract 5 on both sides: 2b = -3
- Divide 2 on both sides: b = -3/2
Answer:
Step-by-step explanation:
18/12 = 24/(x-2) Put the similar sides in the propertions.
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 .
