.65
13/20
Just simply divide and you get .65
The two triangle faces are congruent, so the missing side length on the top triangle is 24ft.
Area of a triangle = bh/2
7*24/2=84ft
Area = 84ft
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5(x + 2) = 6x + 3x - 14
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition] Combine like terms: 5(x + 2) = 9x - 14
- [Distributive Property] Distribute 5: 5x + 10 = 9x - 14
- [Subtraction Property of Equality] Subtract 9x on both sides: -4x + 10 = -14
- [Subtraction Property of Equality] Subtract 10 on both sides: -4x = -24
- [Division Property of Equality] Divide -4 on both sides: x = 6
Rhombus -> 2 equivalent obtuse angles, 2 equivalent acute angles
vs.
Rectangle -> 4 equivalent right angles.
Answer:
B) The maximum y-value of f(x) approaches 2
C) g(x) has the largest possible y-value
Step-by-step explanation:
f(x)=-5^x+2
f(x) is an exponential function.
Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞
Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→
Lim x→ -∞ f(x) = 2
Then the maximun y-value of f(x) approaches 2
g(x)=-5x^2+2
g(x) is a quadratic function. The graph is a parabola
g(x)=ax^2+bx+c
a=-5<0, the parabola opens downward and has a maximum value at
x=-b/(2a)
b=0
c=2
x=-0/2(-5)
x=0/10
x=0
The maximum value is at x=0:
g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2
The maximum value of g(x) is 2
