Answer:
6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.
Step-by-step explanation:
Commutative Property of Addition
We know that we can add two numbers in any order.
For example,
Let 'a' and 'b' be two numbers.
We can add 'a' and 'b' numbers in any order, such as
a + b = b + a
Thus,
a + b = b + a is represented using the commutative Property of Addition.
In our case,
-5d + 6 can be written or represented using the commutative Property of Addition, such as
-5d + 6 = 6 - 5d
It is clear that -5d + 6 can be written in any order such as 6 - 5d.
In other words, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.
Therefore, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.
We can Notice that ∠ABC = ∠ACB
We know that if Two Angles are Equal then Angles Corresponding to those Sides are also Equal.
⇒ AB = AC
⇒ 4x + 4 = 6x - 14
⇒ 6x - 4x = 4 + 14
⇒ 2x = 18
⇒ x = 9
⇒ Length of BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25 units
Answer:
m = 81
Step-by-step explanation:
Recall that slope m = rise / run.
As we go from (61,-17) to (62,64), the horizontal measurement (x) increases by 1 and the vertical measurement (y) increases by 81.
Thus, the desired slope is
81
m = ------ = 81
1
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
Answer:
-90 , 30
Step-by-step explanation:
sina = cos(2a)
= 1 - 2(sina)^2
2(sina)^2 + sina -- 1 = 0
( sina + 1 )( 2sina - 1 ) = 0
sina = -1 or sina = 1/2
=> a = -90 degrees or => a = 30 degrees