Answer:
Choice A: -36 + (-8)
Step-by-step explanation:
We want to find the equivalent expression to -36 - 8
The correct option is Choice A.
Choice A is -36 + (-8)
The reason is that the product of the signs + and - is -, i.e.
+ * - = -
Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8
1/2 because 7/6 & 4/3 are improper fractions(fractions that have a higher numerator than a denominator) and 3/3 should just be written as 1.
value of 
at x=8 is 
.
<u>Step-by-step explanation:</u>
here we need to evaluate 12 + x to the power of 4 - 6 when x = 8 or , where x=8 . Let's find out:
⇒
Putting x =8 :
⇒ 
Splitting 8 to power 4 into 8 to power 2 ( 2 times )
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Therefore , value of at x=8 is .
Answer:
Step-by-step explanation:
<u>Statements </u> <u> Reasons</u>
1) QS =42 Given
2) QR + RS = QS Segment Addition Postulate
3) (x + 3) + 2x = 42 Substitution Property
4) 3x + 3 = 42 Simplify
5) 3x = 39 Subtraction Property of Equality
6) x=13 Division Property of Equality
Explanation:
We have given QS=42. We have to prove that x=13
We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS if and only if the distances between the points satisfy the equation QR + RS = QS.
Then we will substitute the values in the defined postulate.
where QR= x+3
RS=2x
QS=42
QR+RS=QS
(x+3)+2x= 42
Now simplify the expression by opening the brackets.
x+3+2x=42
3x+3=42
Now subtract 3 from both sides.
3x+3-3=42-3
3x=39
divide both sides by 3.
3x/3 =39/3
x=13..
We are given
we can use distribute property
Distributive property:
so, we can write it as
now, we can multiply terms
and we get
..............Answer
