Answer:
A) a • (b • c) = (a • b) • c
Step-by-step explanation:
The associative property of multiplication (or addition) shows that the order the numbers are multiplied it irrelevant, more specifically in the manners of parentheses.
So, the answer is A, which can also be seen in that substituting a as 5, b as 3, and c as 6 gives us the first example.
Answer:
Point slope is ( Y+4) = 1/2(x+3)
Slope intercept is Y = 1/2(x) -5/2
Step-by-step explanation:
For the point slope form.
Given the point as (-3,-4)
And the gradient m = 1/2
Point slope form is
(Y - y1) = m(x-x1)
So
X1 = -3
Y1 = -4
(Y - y1) = m(x-x1)
(Y - (-4)) = 1/2(x -(-3))
( Y+4) = 1/2(x+3)
For the slopes intercept form
Y = mx + c
We can continue from where the point slope form stopped.
( Y+4) = 1/2(x+3)
2(y+4)= x+3
2y + 8 = x+3
2y = x+3-8
2y = x-5
Y = x/2 - 5/2
Y = 1/2(x) -5/2
Where -5/2 = c
1/2 = m
Answer:
degree
Step-by-step explanation:
The angle between the bottom of the ladder and the ground is given by
Where
B = distance between wall of house and the foot of ladder
L = Length of the ladder
Substituting the given values we get -
Answer:
3
Step-by-step explanation:
You want a number that if it is multiplied by 3 1/3 the result will be 10. Let the number be x
3 1/3 * x = 10 Change to a mixed number
10/3 * x = 10 Multiply by 3/10
(10/3)*x * 3/10 = 10 * 3/10 Combine
x = 10*3 / 10 Simplify
x = 30/10 = 3
Answer:
the value of these two numbers are 1/2 and 3/2
Step-by-step explanation:
Given that:
x+y < 2 ---- (1)
y - x > 1 ---- (2)
From equation (2), let y > 1 + x then substitute it into equation (1)
x + 1 + x < 2
2x + 1 < 2
2x < 2 - 1
2x < 1
x < 1/2
From equation (2), replace the value of x to be 1/2
y - 1/2 > 1
y > 1 + 1/2
y > 3/2
