Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Hello! I would love to help!
Alright! We know that perimeter is basically adding all the sides of a shape together. We also know that a square has 4 sides, so 38 is the result of 4 sides being added. Now, we also know that all sides of a square are even. So, to find one side of a square, we just need to do 38/4
38/4=9.5
Alright. So now we know one side of a square is 9.5 in. We know that in order to find area, we have to multiply length and width. We know that since all sides of a square are even, 9.5 is both our length and width. So, in order to find the area, we just have to multiply 9.5 by 9.5
9.5*9.5=90.25
Alright! So we have determined your answer!!!
90.25 or in fraction form 90 1/4 inches squared!
Hope this helped! Comment if you have questions!!
Height of Sandra that is already mentioned in the question is = 4 feet
Percentage by which Pablo is taller than Sandra = 10%
Height by which Pablo is greater than Sandra = (10/100) * 4
= (4/10)
= 0.4 feet
Then height of Pablo is = 4 + 0.4
= 4.4 feet
Now we can find the height of Michaela as she is 8% taller than Pablo.
Percent by which Michaela is taller than Pablo = 8%
Height by which Michaela is greater than Pablo = (8/100) * 4.4
= (2 * 4.4)/25
= 0.35 feet
Then the height of Michaela = (4.4 + 0.35) feet
= 4.75 feet
So height of Michaela is 4.75 feet. This is the way this problem has to be solved.
