The graph the line y = 4x -7 with slope 4 and y-intercept -7 is attached below.
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate y₁ - y coordinate
m - slope
Given the line with slope 4 and y-intercept -7
Now Write the equation as;
y = mx + c
y = 4x -7
Hence, the graph the line with slope 4 and y-intercept -7 is attached below.
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Start on -7 since it is the y intercept(b). 4/1 is the slope. So from seven you would go up 4 right 1.
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The volume of the rectangular set of stairs is V = 12,960 inches³
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the total volume of the rectangular set of stairs be represented as V
Now , the value of V is
Let the volume of the first stair be A
The length of stair A = 30 inches
The width of A = 12 inches
The height of A = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair A = 30 x 12 x 4 = 1,440 inches³
Let the volume of the second stair be B
The length of stair B = 30 inches
The width of B = 36 inches
The height of B = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair B = 30 x 36 x 4 = 4,320 inches³
Let the volume of the third stair be C
The length of stair B = 30 inches
The width of B = 60 inches
The height of B = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair C = 30 x 60 x 4 = 7,200 inches³
Now , the total volume of stairs V = A + B + C
On simplifying , we get
The total volume of rectangular stairs V = 1,440 + 4,320 + 7,200 inches³
The total volume of rectangular stairs V = 12,960 inches³
Hence , the volume of rectangular stairs is 12,960 inches³
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The required, 1000 times 20 equals 2000, as of the given condition.
Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To multiply 1000 and 20, we can follow these steps:
Step 1: Multiply the one's place digits
0 (one place digit of 1000) multiplied by 0 (one place digit of 20) equals 0.
Step 2: Multiply the tens place digits
0 (tens place digit of 1000) multiplied by 2 (tens place digit of 20) equals 0.
Step 3: Multiply the hundreds place digits
0 (hundreds place digit of 1000) multiplied by 0 (hundreds place digit of 20) equals 0.
Step 4: Multiply the thousands of place digits
1 (thousands place digit of 1000) multiplied by 2 (thousands place digit of 20) equals 2000.
Step 5: Add up the products obtained in steps 1-4.
0 + 0 + 0 + 2000 = 2000.
Therefore, 1000 times 20 equals 2000.
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