Answer:
- 5/7 - (3/14 + 3/14) = 2/7
See the steps of solution:
- 5/7 - (3/14 + 3/14) = Solve parenthesis first
- 5/7 - (3 + 3)/14 = Add fractions with same denominator
- 5/7 - 6/14 = Simplify
- 5/7 - 3/7 = Subtract fractions with same denominator
- (5 - 3)/7 = Simplify
- 2/7 Answer
Answer:
Step-by-step explanation:
Dilation of a line about a point not on the line shifts the line but leaves the slope intact .
New line slope will be -2
As both A and C lie on a horizontal line y = 2, C' will also lie on the same line
The distance between A and C is 0 - 2 = -2
a scale factor of 3 means C' is -2(3) = -6 units left of A
C' = (2 - 6, 2) = (-4. 2)
The side length is 5 units, and the area is 25 square units
<h3>What are areas?</h3>
The area of a shape is the amount of space it occupies
<h3>What is the area of a square</h3>
The area of a square is the product of its dimensions
From the graph, the coordinates of the square can be assumed to be:
The side length of the square is then calculated using the following distance formula
So, we have:
The area of the square is the calculated as:
This gives
Hence, the side length is 5 units, and the area is 25 square units
See attachment for the diagram of the shape
Read more about areas at:
brainly.com/question/24487155
Let the length of the 1st line segment = x
then the length of the second line segment = 4x + 5
The difference in their lengths = 35
so 4x + 5 - x = 35 ... [longer - shorter = 35]
3x = 30
x = 10
so the shorter (1st) line segment is 10 cm long
and the longer (2nd) line segment is 4 * 10 + 5 = 45 cm long
Answer: 11/21
Step-by-step explanation: Subtract: 67 - 26 = 6 · 67 · 6 - 2 · 76 · 7 = 3642 - 1442 = 36 - 1442 = 2242 = 2 · 112 · 21 = 1121
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 6) = 42. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 6 = 42. In the next intermediate step , cancel by a common factor of 2 gives 1121.
hope this helps
