Additive identity because that is the property when you add something to 0 and get the same thing
(d): y = mx+n
m = -2/3 ⇒ y = (-2/3)x +n
A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒
⇒ n = 6 - 8/3 ⇒ n = 10/3
Now, we have:
y = (-2/3)x +10/3
Answer: divided by 2
Step-by-step explanation:
Answer:
39.0625 ft
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -50/[2(-16)]
x = -50/-32
x= 25/16
Now plug that into the equation to find the y value, which will be the height...
y = 50(25/16) - 16(25/16)²
y = 1250/16 - 16(625/256)
y = 1250/16 - 625/16
y = 625/16
y = 39.0625
Answer:
The correct option is the second option;
a. Division property of equality
b. Symmetric property of congruency
c. Multiplication property of equality
Step-by-step explanation:
a. For the equation in part a., we have;
6·a = 30
Therefore;
6·a/6 = 30/6
a = 5
Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality
b. For the relationship in part b., we have;
∠ABC ≅ ∠LMN
∠LMN ≅ ∠ABC
The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency
c. For the equation in part c., we have;

Multiply both sides by 3, to get;

Cancel like terms on the left hand side of the equation, to get;
2·(x - 6) = 24
Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality