(x-4)^2+(y-0)^2=3^2 is the answer
Answer:
An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Answer:
18. Supplementary
19. Vertical
20. x = 7
23. x = 25
Step-by-step explanation:
Use angle relationships to make equations which you can solve for x.
Example:
18. These two angles form a line. These are called supplementary.
19. These angles are across a vertex from each other and are equal or the same.
20. 9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 12x - 20
9x - 9x + 1 = 12x - 9x - 20
1 = 3x - 20
1 + 20 = 3x - 20 + 20
21 = 3x
7 = x
23. These two angles are across a vertex from each other. This means the angles are equal. Think of it as a reflection. If you folded the paper on that vertex, the lines would be in the exact same place.
So set the two expressions equal to each other. Then use inverse operations to isolate x and solve.
5x + 4 = 8x - 71
5x - 5x + 4 = 8x - 5x - 71
4 = 3x - 71
4 + 71 = 3x - 71 + 71
75 = 3x
25 = x
Answer:
Pippa
Step-by-step explanation:
A square has
- parallel opposite sides
- perpendicular adjacent sides
- perpendicular diagonals
A rhombus has
- parallel opposite sides
- non-perpendicular adjacent sides
- perpendicular diagonals
Thus, we can identify the shape by comparing the slopes of the adjacent sides.
1. Draw the shape
See the graph below
2. Calculate the slope of AB
m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4
3. Calculate the slope of BC
If BC⟂AP, its slope should be -4/5
.
m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2
½ ≠ -⅘
The two lines are not perpendicular.
Pippa is right. The shape is a rhombus.