First one is a function and the second one is also a function !
Vertex form of the equation:
y = a ( x - h )² + k;
15 = a ( 0 - 4 )² - 1
15 = 16 a - 1
16 a = 16
a = 16 : 16
a = 1
After that we have to transform the equation to the standard form:
y = ( x - 4 )² - 1
y = x² - 8 x + 16 - 1
y = x² - 8 x + 15
Finally we have to find the zeroes:
x² - 8 x + 15 = 0
x² - 5 x - 3 x + 15 = 0
x ( x - 5 ) - 3 ( x - 5 ) = 0
( x - 5 ) ( x - 3 ) = 0
x = 3, x = 5
Answer:
( x 1, y 1 ) ; ( x 2 , y 2 ) = ( 3, 0 ) ; ( 5 , 0 )
Answer:
Step-by-step explanation:
The perimeter if a plane figure is the total distance around the figure.
Therefore, the perimeter of the given triangle is a + b + c
Perimeter = 5.57 + 8.76 + 8.7 = 23.03 yards.
The formula for determining the area of a triangle is expressed as
Area = 1/2 × base × height
From the diagram,
Base = 8.7 yards
Height = 5.3 yards
Area = 1/2 × 8.7 × 5.3 = 23.055 square yards
Answer:
The solution of the given inequality is y>-2.
Step-by-step explanation:
The given inequality is :
2(4y-3) > -22
Using distributive property on LHS of the above inequality.
8y-6 >-22
Add 6 both sides of the inequality
8y-6+6 >-22+6
8y>-16
y>-2
So, the value of y is more than -2.
