Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.
And we solve from there:
So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Answer:
2
Step-by-step explanation:
y=|x|-4
y=|-6|-4
y=6-4
y=2
(x,y) -> (-6,2)
Opposite/adjacent= cosine
cos B= opp/adj
cosB= 7/12
B=cos^-1 (7/12)
(Type it into a graphing calculator)
B=54.3 degrees
Make sure your calculator is in degree mode and you use the inverse cosine.
Explanation:
Remember the following properties of real numbers:
Reflexive property:
This property states that a number is always equal to itself.
This property is different from the equivalent equations property. In fact, two equations that have the same solution are called equivalent equations,
Division property of equality:
This property states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.
Substitution property of equality:
This property states that if x = y, then x can be substituted in for y in any equation.
We can conclude that the correct answer is:
Answer:Drop Down 1: reflexive property
Drop Down 2: division property of equality.
Drop Down 3: substitution
If b was equal to zero, then x would be undefined.
Also note:
As the value of b increases, the value of x decreases. And vice versa.
