Answer:
x=8
Step-by-step explanation:
Answer:
The slope is 
The y-intercept is 9
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:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵ 
∴ m =
∴ The slope is
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is an geometric series, the details of the series are:
a₁ = 150
r = 60/150 = 0.4
n = 7
The sum of the geometric series is,
S = 150(1-0.4⁶)/(1-0.4)
S = 248.976 ≈ 249
Hence, the sum of the first seven terms of the series is 249.
Learn more about Geometrical Series:
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You just combine like terms
So 4d + - d = 3d
And 3x + 2x = 5x
So the answer is 3d + 5x
Sorry, I can't draw a picture, but I can help answer the question...
The way to determine the area of a square or rectangle is to multiply the base and the height, which in this case, is 24 and 18. So 24 times 18 is 432. Therefore, the amount of glass needed to repair the window is 432 inches squared.
Hope that helps!
