Answer:
see explanation
Step-by-step explanation:
To prove the equation id true, solve both sides and if they are equal then the equation is true.
left side = 6 × 8 = 48
right side = 3 × 2 × 2 × 2 × 2
= 6 × 2 × 2 × 2
= 12 × 2 × 2
= 24 × 2
= = 48
Since both sides are equal then the equation is true
Answer:105
Step-by-step explanation:
area of rectangle (b*h) (7*12)
Area of triangle 1/2 (b*h) 1/2(7*6)
Rectangle=84
Triangle=21
84+42= 105
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
Answer:
4608
Step-by-step explanation:
(12*16)/2
then multiply by 48
Answer:
3x2+120x
Step-by-step explanation:
=(x+40)(3x)
=(x)(3x)+(40)(3x)
=3x2+120x
