4 years ago

NEED ANSWERS HELP PLEASE

Mathematics

1 answer:

vovikov84 [41]4 years ago

6 0

Solve for point slope form then plug points in .

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Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.

Fynjy0 [20]

$\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}$

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

$\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.$

Hence,

$1\frac{23}{40}\ miles\text{ far she live from school.}$

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3 years ago

Write an equation of the line that passes through (2, -3) and is perpendicular to the line y=-2x-3

Natalija [7]

Answer:

$y=\frac{1}{2} (x-2)-3$ or $y=\frac{1}{2} x-4$

Step-by-step explanation:

The perpendicular slope is the opposite-reciprocal of the original slope:

Perpendicular slope of -2 is $\frac{1}{2}$

Write the equation in point-slope form ( $y=a(x-h)+k$ ):

$y=\frac{1}{2} (x-2)-3$

Convert to slope-intercept form if needed:

$y=\frac{1}{2} x-1-3$

$y=\frac{1}{2} x-4$

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