Answer:
m∠WUV = 23°
Step-by-step explanation:
m∠TUW and m∠WUV must add up to m∠TUV
Step 1: Set up equation
m∠TUW + m∠WUV = m∠TUV
8x + 7 + 4x - 1 = 78
Step 2: Solve for <em>x</em>
12x + 6 = 78
12x = 72
x = 6
Step 3: Find m∠WUV
m∠WUV = 4x - 1
m∠WUV = 4(6) - 1
m∠WUV = 24 - 1
m∠WUV = 23°
89=x+1/3(7)
89=x+7/3
267/3=x+7/3
260/3=x
86 2/3=x. Hope it help!
9514 1404 393
Explanation:
sum -- the result of addition: 5x+1
term -- a constant, variable, or product of a constant and one or more variables. In the more general sense, a term is any part of the expression that can be considered by itself. An example is 5x
product -- the result of multiplication: 9(5x+1), where 9 is multiplied by the sum (5x+1)
factor -- part of a product: x
quotient -- the result of division: 9(5x+1)÷3
coefficient -- a constant, or the constant that multiplies the variables in a term: 5
_____
<em>Additional comment</em>
The way this is written, there will be the tendency to think of 3y as a term in the same sense that 5x is a term. That would be incorrect. The Order of Operations has you interpret this expression as ...
Let the two numbers be x and y.
We have x+y=45
⇒ y= 45-x.
The two numbers multiply and get 121, so we have another equation:
x*y = 121 (1)
Plug y= 45-x in (1), we have:
x* (45-x)=121
⇒ 45x - x^2 = 121 (distributive property)
⇒ x^2 - 45x = -121 (multiply -1 on both sides)
⇒ x^2- 45x + 121= 0
⇒ x= 42.128 or x= 2.872
y= 45- 42.128= 2.872
or y= 45- 2.872= 42.128.
Because it does not matter what number, x or y, is larger, the two numbers are 2.872 and 42.128.
Hope this helps~
Answer:
x²+14x+24 = (x+2)(x+12)
Step-by-step explanation:
We need to factorize the given expression i.e. x²+14x+24.
We find two integers such that their sum is 14 and product is 24.
x²+14x+24 = x²+12x+2x+24
=x(x+12)+2(x+12)
= (x+2)(x+12)
Hence, the factors of the given expression is (x+2)(x+12).
