Answer:
B.) 
Step-by-step explanation:
Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.
to get: 
.
now the denominators is the same on both sides, just subtract the numerator.
27 - 8 = 19
Now simply: 
.
Your final answer is 1\frac{7}{12}[/tex].
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
Answer:
f(g(4)) = 213
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 8x + 5
g(x) = 7x - 2
<u>Step 2: Find f(g(4))</u>
- Substitute in <em>x</em> [Function g(x)]: g(4) = 7(4) - 2
- Multiply: g(4) = 28 - 2
- Subtract: g(4) = 26
- Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5
- Multiply: f(g(4)) = 208 + 5
- Add: f(g(4)) = 213
We have
<span>3/5=(a+5)/25
3/5=(5/5)*(3/5)=15/25
therefore
15/25=</span>(a+5)/25<span>
15=a+5------------------------ > a=10
the answer is the option </span>a = 10
