Answer:
1/2 inch
Step-by-step explanation:
The area of a rectangle is the product of its length and width. So, the length and width of the photo will give a product of 24 when they are multiplied together.
One set of factors of 24 is 4 and 6, each of which is 1 unit less than the 5 and 7 dimensions of the paper on which the photo is printed. Hence a 1/2-inch border all around will result in a printed photo that is 4x6 on a 5x7 piece of paper.
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If you want to write and solve equations, you can let b represent the border width. Then the photo area is ...
(5 -2b)(7 -2b) = 24
35 -24b +4b^2 = 24
4b^2 -24b +11 = 0
(2b -1)(2b -11) = 0
Solutions to this quadratic are b = 1/2, b = 11/2. The only viable solution is b = 1/2.
The border is 1/2 inch wide.
Answer:
3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3x + 4
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3
y-intercept <em>b</em> = 4
Answers:
- Reason 2) Given. Specifically, the diagram shows that the two angles are adjacent and supplementary, which is why the two angles are a linear pair.
- Reason 3) Definition of Linear Pair. As stated above, a linear pair of angles add to 180 degrees (they are supplementary).
- Statement 4)
since the term "right angle" is another way of saying "90 degree angle" - Statement 5)
The upside down "T" symbol means "perpendicular". Perpendicular lines form 90 degree angles at the intersection.
Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.
Correct answer is D.
Use equation of line which passes through the point
.
The ratio of students to teachers, is B, 8/1.
This is because if there are 24 students and 3 teachers, and you need to know the amount of students there would be per teacher, you divide both given numbers by 3.
24 divided by 3 is 8 (representing students)
and 3 divided by 3 is 1 (representing teachers)
Thus, the answer is 8/1
