The correct answer is 56.8
Parallel to : y = 1/2x - 8
Passes through (-6, -17)
Our given slope is 1/2.
Plug the given coordinates into point-slope form.
y - y₁ = m(x - x₁)
y - (-17) = 1/2(x - (-6))
Simplify.
y + 17 = 1/2(x + 6) ← Your answer.
However, sometimes teachers want this simplified even further.
So, simplify this.
y + 17 = 1/2x + 3
Subtract 17 from both sides.
y = 1/2x + 3 - 17
Simplify.
y = 1/2x - 14 ← Slope-intercept form.
Standard form → -1/2x + y = -14
~Hope this helped!~
Answer:
<h2>option d, 7.25</h2>
Step-by-step explanation:
2AB=YZ(By parallel line theorem)
4x-8=21
4x=29
<h2>x=29/4=7.25</h2>
9514 1404 393
Answer:
(c) 1.649
Step-by-step explanation:
For a lot of these summation problems it is worthwhile to learn to use a calculator or spreadsheet to do the arithmetic. Here, the ends of the intervals are 1 unit apart, so we only need to evaluate the function for integer values of x.
Almost any of these numerical integration methods involve some sort of weighted sum. For <em>trapezoidal</em> integration, the weights of all of the middle function values are 1. The weights of the first and last function values are 1/2. The weighted sum is multiplied by the interval width, which is 1 for this problem.
The area by trapezoidal integration is about 1.649 square units.
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In the attached, we have shown the calculation both by computing the area of each trapezoid (f1 does that), and by creating the weighted sum of function values.
Answer:
In the image below
Step-by-step explanation: