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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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Median? 93; 17; 85; 42; 15; 19; 78
love history [14]
The median is the number in the middle when all of the numbers are placed in order (from lowest to highest).

15; 17; 19; 42; 78; 85; 93


The answer in this case would be 42.
6 0
3 years ago
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SpyIntel [72]
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6 0
3 years ago
A lines passes through the points (-4, 7) and (5, -8). What is the slope of the line?
Korvikt [17]

Answer:

C

Step-by-step explanation:

The formula to find the slope of a line is:

(y2 - y1) / (x2 - x1)

We can substitute the points (-4, 7) and (5, -8) to find the slope:

(-8 - 7) / (5 - (-4))

(-15) / (5 + 4)

(-15) / 9

This can be simplified to

- 5 / 3

which is option C

6 0
3 years ago
-2t-5>20 please help
Oduvanchick [21]

Answer:

t<-25/2

Step-by-step explanation:

move the constant to the right hand side and change the sign

-2t>20+5

add the numbers

-2t>25

20+5=25

divide both sides of the inequality by-2ans flip the inequality sign

t<-25/2

Answer t<-25/2

7 0
4 years ago
Help me answer this!!!
miss Akunina [59]

Answer/Step-by-step explanation:

Year = x

Weight (kg) = y

Rate of change between 2010 and 2011 = \frac{y_2 - y_1}{x_2 - x_1}

Where,

(2010, 35) = (x_1, y_1)

(2011, 30) = (x_2, y_2)

Plug in the values

= \frac{30 - 35}{2011 - 2010}

= \frac{-5}{1} = -5

Rate of change = -5kg per year

This means that there was a decrease in the weight of the winning dog form 2010 to 2011 by 5 kilograms

3 0
3 years ago
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