This October it rained one inch the entire month. This is ¼ of the total rainfall in October last year. How much did it rain las
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The product (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.
<h3>What is distributive property?</h3>The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
First let w = y-4x make distribution a bit easier
(y−4x)(y^2 + 4y + 16)
now put the values of w in the equation
Here the value of a is 16.
Learn more about the distributive property:
Answer:
Step-by-step explanation:
Linear equations will always be in the form , where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a change.
The x value goes from 2 to 6, which is a change.
Now that we know both changes, we can divide the change in y by the change in x.
Now that we know the slope (4), we can plug it into our equation ().
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
Hope this helped!
Answer:
<em>Sam is 30 years old, and Harry is 10 years old.</em>
Step-by-step explanation:
Let us assume that the age of Sam is x and the age of Harry is y.
Sam is currently is three times Harry's age.
So, ----------------------1
Sam's age is also 10 more than twice Harry's age.
so, ---------------2
Subtracting 2 from 1, we get
putting this in equation 1,
Therefore, Sam is 30 years old, and Harry is 10 years old.