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xenn [34]
3 years ago
12

CAN SOMEONE PLEASE GIVE ME A FULL EXPLANATION ON HOW TO DO THESE TYPES OF PROBLEMS BECAUSE I HAVE ABSOLUTELY NO IDEA ON HOW TO D

O THEM AND ALSO PLEASE GIVE THE ANSWER, THANK YOU!!!
Write an equation of the line passing through point P that is perpendicular to the given line.
P(4,−3), y=−x−5
Mathematics
2 answers:
Furkat [3]3 years ago
6 0

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\bf y = -x-5\implies y = \stackrel{\stackrel{m}{\downarrow }}{-1}x\stackrel{\stackrel{b}{\downarrow }}{-5}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so it has a slope of -1, or we can say -1/1, thus

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}}

so, we're really looking for the equation of a line whose slope is 1 and runs through (4,-3)

\bf P(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{1}(x-\stackrel{x_1}{4}) \\\\\\ y+3=x-4\implies y=x-7

nlexa [21]3 years ago
3 0

Answer:

I'll give u an example

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

**Please rate brainliest and vote 5 stars  and give thanks**

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180 people filled out a survey about their favorite color. 95 of the respondents were female. 21 males responded that their favo
faltersainse [42]
If there were 180 taking the survey and 95 were female, that means that there were 85 males.

Since only 21 of the males said red was their favorite color, we can write the fraction 21/85.

21 / 85 x 100 = 24.7%

24.7% of the males said red was their favorite color.
6 0
3 years ago
Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue
Nadya [2.5K]

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

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3 years ago
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A 1-liter bottle of orange juice used to cost $2.85 at a food market. Its price has increased; the new price is 110 percent of t
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D. 3.14

hop this helps ^o^

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3 years ago
453.2 divided by 14 (Round to the nearest tenth)
Bond [772]

Answer:

{453.2 \div 14} \\  =  \frac{453.2}{14}  \\  \\  = { \boxed{32.4}}

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lengths of two sides of a triangle are 6cm and 10cm. the two whole numbers between which the length of third side lie is​
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Answer:

plz mark me as brainiest

Step-by-step explanation:

10-6=4

10+6 =16

4 >x>16.

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3 years ago
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