Answer:
AC ≈ 11.0 cm
Step-by-step explanation:
Using Pythagoras' identity in Δ CDE and Δ ADE
CE² + DE² = DC²
CE² + 7² = 8²
CE² + 49 = 64 ( subtract 49 from both sides )
CE² = 15 ( take the square root of both sides )
CE =
-------------------------------------------------------
AE² + DE² = DA²
AE² + 7² = 10²
AE² + 49 = 100 ( subtract 49 from both sides )
AE² = 51 ( take the square root of both sides )
AE =
Then
AC = AE + CE = + ≈ 11.0 cm ( to the nearest tenth )
Answer:
The coordinates of the image of vertex G are (-5, 4)
Step-by-step explanation:
Let us revise some cases of reflection
- If the point (x, y) reflected across the x-axis
, then its image is (x, -y)
- If the point (x, y) reflected across the y-axis
, then its image is (-x, y)
- If the point (x, y) reflected across the line y = x
, then its image is (y, x)
- If the point (x, y) reflected across the line y = -x
, then its image is (-y, -x)
From the given figure
∵ The line of the reflection is y = x
→ That means we will switch the coordinates of the point to find its image
∵ The coordinates of vertex G are (4, -5)
∴ The x-coordinate = 4 and the y-coordinate = -5
→ Switch the two coordinates
∴ The coordinates of its image G' are (-5, 4)
∴ The coordinates of the image of vertex G are (-5, 4)
Answer:
4 grams............
Step-by-step explanation:
Answer:
The answer to your question is x = 0 and x = 1
Step-by-step explanation:
Equation
1)
Expand
2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)
Simplify
3) 2x² -2x + 2 = -1(x² + x - 2x - 2)
4) 2x² - 2x + 2 = -x² + x + 2
Equal to zero
5) 2x² - 2x + 2 + x² - x - 2 = 0
6) 3x² - 3x = 0
Factor
7) 3x(x - 1) = 0
8) 3x₁ = 0 x₂ - 1 = 0
9) x₁ = 0/3 x₂ = 1
10) x₁ = 0 x₂ = 1