Answer:
slope = 1/4
Step-by-step explanation:
The slope of a line is defined by the rise (change in y-value)/run (change in x-value. The change in y-value is 0 - (-2) = 0 + 2 = 2. The change in x-value is -2 - (-10) = -2 + 10 = 8. Therefore, the slope is 2/8 or (simplified) 1/4.
Answer:
The cost over time is a proportional relationship
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"
5.4 * 10³ = 5,400 .
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Answer:
slope intercept form: y = mx + b
6x - 4y = 24
4y = 6x - 24
y = 3/2x - 6
slope: <u>3/2</u>
y intercept: <u>- 6</u>
The answer is: " 2291 units " .
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Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;
or: A = (1/2) * (b + B) * h.
We are missing the value for "b" one of the base lengths.
However, since: A = 68² (given) ; B (the other base length) = 21; and the perpendicular height, "h" = 4 ; we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ; ↔ 68² = (1/2) * (b + 21) * 4 ;
↔ <span>4624 = 2 (b + 21) = 2b + 42 ;
</span> ↔ <span>4624 = 2b + 42 ;
</span> ↔ <span>2b + 42 = 4624 ;
Subtract "42" from each side of the equation:
2b + 42 - 42 = 4624 - 42 ;
to get: 2b = 4582 ;
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Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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2b / 2 = 4582 / 2 ;
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to get: b = 2291 units.
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