Answer: A y = -(2x+8)
Step-by-step explanation:
The first line is y=-2x-8
Thus, the answer that simplifies to y = -2x-8 is the answer.
a) y=-(2x+8)
Distribute
y=-2x-8
Because it works, no need to try the others.
<em>Hope it helps <3</em>
The length of the line segment that connects vertex A and vertex B is 5 units
Step-by-step explanation:
Let us revise some facts about the horizontal and vertical segments
- The segment is horizontal if the y-coordinates of all points on the segment are equal
- The length of the horizontal segment whose endpoints are and is
- The segment is vertical if the x-coordinates of all points on the segment are equal
- The length of the vertical segment whose endpoints are and is
In Δ ABC
∵ A = (1 , -1)
∵ B = (1 , 4)
∵ C = (8 , 4)
∵ The x-coordinate of point A = 1
∵ The x-coordinate of point B = 1
∴ The x-coordinates of points A and B are equal
- The x-coordinates of A and B are equal, then the line AB is a
vertical segment
∴ The length of AB is the difference between the y-coordinates
of points A and B
∵ The y-coordinate of point A = -1
∵ The y-coordinate ob point B = 4
∴ The length of AB = 4 - (-1)
∴ The length of AB = 4 + 1
∴ The length of AB = 5 units
The length of the line segment that connects vertex A and vertex B is 5 units
Learn more:
You can learn more about the length of the segments in brainly.com/question/6564657
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The answer is: The product is a radical multiplied by an integer and the result is By definition, the set of integers has: negative numbers, positive numbers and zero.
Radicals are also known as roots and can be written with the symbol:
, where "n" is the index.
Normally, when a radical is multiplied by an integer, you must simplify it, but in this case you can calculate the result by using your calculator.
The given shapes area is found to be 4 square yards.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.
Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards
Area of the triangle = * base * height = * 5 * 4 = 10 square yards.
The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.
Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.
Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.
Area of given shape = Area of the triangle - Area of the rectangle.
Area of given shape = 10 square yards - 6 square yards = 4 square yards.