Answer:
The graph of the linear equation is attached below
Step-by-step explanation:
To graph a linear equation , we use a table method
We take some random number for x and find out y. Always assume some positive as well as negative numbers.
x y=3x-8
-1 3(-1)-8= -11
0 3(0)-8=-8
1 3(1)-8= -5
The points for graphing are (-1,-11) (0,-8) and (1,-5)
The graph of equation y = 3x - 8 is shown in image.
Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Equation is,
⇒ y = 3x - 8
Now, By comparing with the equation of line, we get;
y - intercept of graph = (0, - 8)
And, Slope = 3
Hence, The graph of equation y = 3x - 8 with y - intercept is shown in image.
Learn more about the equation of line visit:
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The area of the garden box is 42³/₄ feet² = 42,75 feet²
To solve the above questions, we need to recall some of the formulas as follows:
Area of Square = (Length of Side)²
Perimeter of Square = 4 × (Length of Side)
Area of Rectangle = Length × Width
Perimeter of Rectangle = 2 × ( Length + Width )
Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Rhombus = 4 × ( Length of Side )
Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )
Let us now tackle the problem !
Given:
Perimeter = P = 27 ¹/₂ feet
Length = L = 9 feet
Unknown:
Area = ?
Solution:
First we calculate the width of the garden box
Finally we can calculate the area of the garden box
Grade: College
Subject: Mathematics
Chapter: Two Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width
The area of figure ABCD is:
24 square units.
We see that the given points form the vertices of a trapezium ABCD with bases AD and CB with measure,
AD= 3 units
and CB=5 units
and the height of the trapezium is: AB= 6 units.
Hence, the area of trapezium ABCD is:
Hence, the area of figure ABCD is:
24 square units.
for 5 days of work
–18
B.
–6
C.
6
D.
18