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Lostsunrise [7]
3 years ago
7

What reasonable estimate of 288

Mathematics
2 answers:
algol133 years ago
5 0
300 is a reasonable estimate
blagie [28]3 years ago
4 0
The reasonable estimate of 288 can be 300 because it's close to 300
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What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin
TiliK225 [7]

Answer:

\large\boxed{y-intercept=20}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{3}{5}x+10\to m_1=\dfrac{3}{5}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{3}{5}}=-\dfrac{5}{3}.\\\\\text{The equation of the searched line:}\ y=-\dfrac{5}{3}x+b.\\\\\text{The line passes through }(15,\ -5).

\text{Put thecoordinates of the point to the equation.}\ x=15,\ y=-5:\\\\-5=-\dfrac{5}{3}(15)+b\\\\-5=(-5)(5)+b\\\\-5=-25+b\qquad\text{add 25 to both sides}\\\\b=20\\\\\boxed{y=-\dfrac{5}{3}x+20}

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