Answer:
3(x - 2)² - 17
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square.
Given
3x² - 12x - 5 ← factor out 3 from the first 2 terms
= 3(x² - 4x) - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 4x
= 3(x² + 2(- 2)x + 4 - 4 ) - 5
= 3(x - 2)² - 12 - 5
= 3(x - 2)² - 17 ← in vertex form
Answer:
3
Step-by-step explanation:
The triangles are similar by AA, so because corresponding sides of similar triangles are proportional,
(x+15)/15 = 12/10
(x+15) = 18
x = 3
Answer:
1/12
Step-by-step explanation:
Let’s list out cases:
1+1:
Probability of getting 1 and 1 is (1/6)^2 = 1/36
1+2:
Probabilty of getting 1 and 2 is (1/6)^2 = 1/36 and getting 2 and 1 is (1/6)^2 = 1/36.
That is all of the cases because 1+3 and 2+2 are equal to 4. Summing it up, we get: 3(1/36) = 1/12
Step-by-step explanation:
Given,
perimeter = 94
length = 4y
breath = 5y + 2
perimeter = 2 ( l + b )
after inserting values we got,
2 ( l + b ) = 94
2 ( 4y + 5y + 2 ) = 94
2 ( 9y + 2 ) = 94
18y + 4 = 94
18y = 94 - 4 = 90
18y = 90
y = 90/18
y = 5
therefore,
length = 4y = 4×5 = 20
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Answer:
Step-by-step explanation: