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4 years ago

I’m confused on this one

Mathematics

1 answer:

saul85 [17]4 years ago

4 0

This one has a slope of -2; so will all the lines parallel to it. So we get

$y = -2x + b$

as the family of perpendiculars. We plug in our point and solve for b.

$7 = -2(1) + b$

$b = 9$

Answer: y = -2x + 9

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How are these triangles congruent??????

Soloha48 [4]

Answer:

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Step-by-step explanation:

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3 years ago

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation

Lelu [443]

Answer:

The inequality $f>40$ represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

$h=60+2.5f$

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

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Substract 60 from both sides.

$2.5f>100$

Divide both sides by 2.5.

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Therefore the inequality $f>40$ represents the lengths of the femur for which the woman had a height greater than 160cm.

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3 years ago

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Step-by-step explanation:

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3 years ago

Which of the following algebraic expressions represents the sum of 7 and one-fifth of x?

Simora [160]

Answer:

Step-by-step explanation:

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3 years ago

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

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Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

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We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

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3 years ago