We want to use a coordinate plane to find the area of the given rectangle.
We will see that the area is 36 units squared.
So we only know the vertices of the rectangle, which are:
The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.
Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.
Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)
Then the area of the rectangle is:
A = 3*12 = 36 square units.
If you want to learn more about rectangles and areas, you can read:
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
The quotient after the long division of the number 37 by 158 gives the number 0.234177....
Given a division problem.
Dividend is 37 and the divisor is 158.
We have to divide these to numbers.
Since dividend is less than the divisor, we have to make it greater or equal by adding zeroes to dividend and consequently there will be decimal point and zeroes in quotient.
Adding one zero, dividend becomes 370.
And the first digit of the quotient will be of the form 0., which 0 followed by a decimal point.
370 = (158 × 2) + 54
Next digit of the quotient becomes 2. so the quotient till now becomes 0.2.
Remainder is 54.
Adding a 0,
540 = (158 × 3) + 66
The quotient becomes 0.23.
Remainder is 66.
Adding again 0,
660 = (158 × 4) + 28
Quotient becomes 0.234.
This goes on like this,
When we do it again and again, we will get quotient as 0.234177...
Learn more about Division here :
#SPJ6
Answer:
no
Step-by-step explanation:
Answer:
To reflect a point across the vertical line x = -2, we can use the formula:
(x, y) → (2c - x, y)
where c is the x-coordinate of the line of reflection. In this case, c = -2. Let's apply this formula to the point W(-4, -4):
W' = (2(-2) - (-4), -4)
= (-4 + 4, -4)
= (0, -4)
Therefore, after the reflection across x = -2, the coordinates of W(-4, -4) become W'(0, -4).
Step-by-step explanation:
Answer:
octagon
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