Answer: 7
Step-by-step explanation: the degree of the monomial is 7 because it is raised to the the 7th power.
I think the question is simplify






Answer: (1/3) - (4/3)i
I might be getting the question wrong. It might be

Let's do this one too.



We are given the equation that represents a direct variation 2x - 4y = 0 .
<em>We know direct variation equation y = k x.</em>
Where x is the constant of variation.
In order to find if given equation is really a direct variation, we need to solve it for y.
2x - 4y = 0
Subtracting 2x from both sides, we get
-4y = -2x.
Dividing both sides by 4, we get
y = 1/2 x.
On comparing with direct variation equation y = k x. We can see that y = 1/2 x is also a direct variation equation.
And k = 1/2.
<h3>Therefore, correct option is A. Yes; k = 1/2.</h3>
There were 14 hens and 18 pigs in the backyard
Step-by-step explanation:
Katie was visiting her grandpas farm
- She saw only hens and pigs
- Katie counted 32 heads and 100 feet in the backyard
We need to find how many hens and pigs in the backyard
Assume that there are x hens and y pigs in the backyard
∵ There are x hens and y pigs in the backyard
∵ There are 32 heads
∴ x + y = 32 ⇒ (1)
∵ Each hen has 2 feet
∵ Each pig has 4 feet
∵ There are 100 feet
∴ 2x + 4y = 100 ⇒ (2)
Let us solve the system of equations to find how many hens and pigs
Multiply equation (1) by -2 to eliminate x
∴ -2x - 2y = -64 ⇒ (3)
- Add equations (2) and (3)
∴ 2y = 36
- Divide both side by 2
∴ y = 18
Substitute the value of y in equation (1) to find the value of x
∵ x + 18 = 32
- Subtract 18 from both sides
∴ x = 14
There were 14 hens and 18 pigs in the backyard
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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