My mom built a new sandbox that is 3 \text { m}3 m3, start text, space, m, end text long, 2 \text { m}2 m2, start text, space, m
1 answer:
Answer:
$27
Step-by-step explanation:
The dimensions of the sandbox (that is a rectangular prism) are 3m x 2m x 1m.
We need to first find the volume of the sandbox.
The volume of a rectangular prism is:
V = L * W * H
where L = length
W = Width
H = height
The volume of the sandbox is:
V = 3 * 2 * 1 =
Sand for the sandbox costs $4.50 per cubic meter.
The cost to completely fill the sandbox is:
4.50 * 6 = $27
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Answer:
The equation of the line is y = x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2