Answer:
I will help you with the first.
Step-by-step explanation:
For the reflection E is (2,-3), D is (2,-6), and F is (5,-3)
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The equation 2x - 12 = 2(x-10)-87 has no solutions.
Given: To find the value of x: 2x - 12 = 2(x - 10) - 87
What are algebraic expressions?
Algebraic expressions are sequences or combinations of characters containing letters, numbers, symbols, operators, and variables which are used to derive a certain relation among all of them.
What is an algebraic equation?
When an algebraic expression has a value it becomes an algebraic equation. The algebraic equation helps to make a relation between different variables for a problem.
Let's solve the question.
2x - 12 = 2(x - 10) - 87
Adding 12 on both sides:
2x - 12 + 12 = 2(x-10) - 87 + 12
=> 2x = 2(x -10) - 75
=> 2x = 2x - 20 - 75
=> 2x = 2x - 95
Adding -2x on both sides:
2x - 2x = 2x - 95 - 2x
0 = -95
This is contradictory.
The equation is independent of x, and 0 = -95 is false. Therefore, the equation has no solutions.
Hence the equation 2x - 12 = 2(x-10)-87 has no solutions.
Know more about "algebraic expressions" here: brainly.com/question/953809
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See Explanation
Step-by-step explanation:
1)
2).
The area of the shaded regions is: 44π
<h3>What is the Area of a Circle?</h3>
Area of a circle where "r" is the radius is determined using the formula: πr².
The figure given has three circles, namely:
- Circle A with radius of 8 cm.
- Circle B with radius of 4 cm.
- Circle C with radius of 2 cm.
The area of the shaded regions = <em>Area of circle A - Area of Circle B + Area of Circle C</em>
Area of Circle A = (π)(8)² = 64π
Area of Circle B = (π)(4)² = 16π
Area of Circle C = (π)(2)² = 4π
Thus:
The area of the shaded regions = 64π - 16π + 4π
The area of the shaded regions = 44π
Learn more about area of circle on:
brainly.com/question/15673093