Answer:21
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Step-by-step explanation:
Plotting the points, you see that they lie on the same line: x=-3.
Therefore, you only need to find the distance between the y-coordinates.
6-(-1)=7, so therefore, Vicky's house is 7 units apart from her school.
Answer:
-10.74
Step-by-step explanation:
The given parallelogram is a rhombus
Solution:
Option A: Rhombus
Let us recall the property of rhombus.
- Diagonals bisect each other at right angles.
- Opposite angles are congruent.
Here diagonals bisect the angles equally each 72°.
Opposite angles are congruent(72° + 72° = 144°).
Hence the given parallelogram is a rhombus.
Option B: Rectangle
Let us recall the property of rectangle.
- Diagonals bisect each other.
- All the angles of a rectangle are 90°.
Here 72° + 72° = 144°, not 90°.
So, the given parallelogram is not a rectangle.
Option C: Square
Let us recall the property of square.
- Diagonals bisect each other.
- All the angles of a square are 90°.
Here 72° + 72° = 144°, not 90°.
So, the given parallelogram is not a square.
The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵ , where
and are any two ordered pairs in the table
∵ = (1 , 20)
∵ = (3 , 10)
∴
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
Learn more:
You can learn more about the linear equation in brainly.com/question/4326955
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