Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= - 
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= - 
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
Answer:
( -4, -3 )
Step-by-step explanation:
Let's solve by elimination. Reason being there are no variables without coefficients.
−5y+3x=3 Multiply equation by 3. Each term.
−8y+9x=−12
-15y + 9x = 9 Subtract the to equations
-8y + 9x = -12
___________
-7y = 21
y = -3
Substitute y into original equation
-5(-3) + 3x = 3
15 + 3x = 3 Subtract 15 both sides
3x = -12 Divide by 3, both sides
x = -4
Answer:
78.5 cm
Step-by-step explanation:
The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.
Answer:
1/3
Step-by-step explanation:
The result of multiplying two fractions is another fraction whose numerator is the product of the numerators of the fractions and the denominator is the product of the denominators of the fractions,
Before multiplying, note that the numerator of the second fraction is a multiple of the denominator of the first fraction,
So we can simplify these two values,
27 is a multiple of 9, so we can do one more simplification,
So,
Hence, the result of multiplying 3/4 and 12/27 is 1/3.
Answer:
an infinite number
Step-by-step explanation:
The equation simplifies to ...
12x -7 = 6x +10 +6x -17 . . . eliminate parentheses
12x -7 = 12x -7 . . . . . . . . collect terms
0 = 0 . . . . subtract (12x-7) from both sides
This is true for all values of x. There are an infinite number of solutions.
