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:
4x - 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
5(2x - 1) - 2(3x + 2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 10x - 5 - 6x - 4
- Combine like terms (x): 4x - 5 - 4
- Combine like terms (Z): 4x - 9
Answer:
Carl has 35 dimes and 90 quarters
Step-by-step explanation:
Let the number of quarters be q and the number of dimes be d
Total number of coins is 125;
Hence;
q + d = 125 •••••••••(i)
The total value of quarters present = q * 0.25 = 0.25q
The total value of dimes present = d * 0.1 = 0.1d
Adding both gives the total
0.25q + 0.1d =26 ••••••••(ii)
So we need to solve both equations simultaneously;
From i,
q = 125 - d
Substitute this into ii
0.25(125-d) + 0.1d = 26
31.25 -0.25d + 0.1d = 26
31.25 -26 = 0.25d -0.1d
5.25 = 0.15d
d = 5.25/0.15
d = 35
Recall; q = 125 - d = 125 -35 = 90
Answer:
A)4.1%
Step-by-step explanation:
First you need to add all the payments together to get your total.
1400+300+150+800+300+150+100+100+150+200=3650
Then you cross multiply and divide to get the percentage.
=
When you cross multiply and divide x≈4.1
D, all apply
You can cut all in half and they will be equal
