Answer:
17 inches.
Step-by-step explanation:
If the area of a rectangle is the product of its length and width, then;
Area of a rectangle = Length × Width
Given that the width of the poster is greater than 10 inches and is prime, this means and W>10
Area of the rectangle = 204in²
On substituting the values in the formula;
A = LW
204 = LW
Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.
Let's test each values of the prime width that will give a length that is a whole number.
If W = 11
204 = 11×L
L = 204/11
L = 18.54
Since the length didn't give us a whole number, this means our width is not 11.
If W = 13
204 = L × 13
L = 204/13
L = 15.69
Also, we can see that the length is not also a whole number for the value of 13 as the prime width.
If W = 17
204 = L × 17
L = 204/17
L = 12
It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.
Answer:
V = 9
Step-by-step explanation:
You can see it in the picture.
Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given
As we know that the equation of a line in point-slope form is
substituting the values m = -5/4 and point = (8, -9)
Writing the equation in slope-intercept form
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
subtract 9 from both sides
Therefore, the equation in the slope-intercept form will be:
Answer: 2t + -8
Step-by-step explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is change this minus to plus a negative.
Now we can distribute or multiply this 2 times
each of the terms inside the set of parentheses.
So we get 2(t) + 2(-4) and this simplifies to 2t + -8.
2t + -8 is the same thing as 2t -8.
Answer:
If you want me to turn it into an equation it's: y=12x-1
Step-by-step explanation:
Well, the slope will always be first and you have to put x after it. The y-intercept is always the starting point on a graph, so it'll be last on the equation.
