Answer:
7(x+1)^2 - 3
Step-by-step explanation:
To Write in The Vertex Form Simply means expressing the equation using completing of the square method
step 1: Make the coefficient of x^2 to 1
7 [x^2 + 2x + 4/7]
step 2: express the coefficient of x as half's of positive and negative
7 [x^2 + 2x + (1)^1 - (1)^1 + 4/7]
step 3: separate the negative part and the constant to solve then correct x^2 and 1^2 together
7 [ (x+1)^2 -3/7 ]
step 4 : distribute the 7
7(x + 1)^2 - 3
The subtraction represents the length of one leg, so the answer is A
<u>X - Intercept</u>
x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
x + 0 + 0 = 6
x + 0 = 6
<u> - 0 - 0</u>
x = 6
X - Intercept: (6, 0, 0)
<u>Y - Intercept</u>
x + 3y + 2z = 6
0 + 3y + 2(0) = 6
0 + 3y + 0 = 6
0 + 0 + 3y = 6
0 + 3y = 6
<u>- 0 - 0</u>
<u>3y</u> = <u>6</u>
3 3
y = 2
Y - Intercept: (0, 2, 0)
<u>Z - Intercept</u>
x + 3y + 2z = 6
0 + 3(0) 2z = 6
0 + 0 + 2z = 6
0 + 2z = 6
<u>- 0 - 0</u>
<u>2z</u> = <u>6</u>
2 2
z = 3
Z - Intercept: (0, 0, 3)
<u>Volume of the X - Intercept, Y - Intercept, and Z - Intercept</u>
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
