Is 4.15 greater than 4.051
1 answer:
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<h2>Answer: y = - ¹/₂ x OR y - 1 = - ¹/₂ (x + 2) </h2><h3>Step-by-step explanation: </h3>
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - 1) ÷ (-8 - (-2))
= - ¹/₂
<u>Finding the Equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 1 = - ¹/₂ (x - (-2))
∴ y - 1 = - ¹/₂ (x + 2)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - 1 = - ¹/₂ (x + 2)
⇒ y = - ¹/₂ x
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:
<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>Step-by-step explanation:
The formula of a volume of a cylinder:
<em>B</em><em> - base area</em>
<em>h</em><em> - height</em>
<em />
1. We have
<em>h = 5in, B = 20 in²</em>.
Substitute:
2. We have
<em>B = 20.7 in², V = 207 in³</em>.
Substitute:
<em>divide both sides by 20.7</em>