Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?

Answers

Answer 1

Answer:

-8/7

Step-by-step explanation:

First, find the slope of line c.

(x1, y1) = (9, 10)

(x2, y2) = (1, 3)

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Solve for the slope using the given values:

[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]

The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.

In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.

Line C Passes Through Points (9, 10) And (1, 3). Line D Is Perpendicular To C. What Is The Slopeof Line
Answer 2

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m of line c using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )

m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d


Related Questions

Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?​

Answers

Answer:

4.6 feet (explanation of division)

Answer:

The length of each piece is 4.6 feet

Step-by-step explanation:

(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form

Answers

Answer:

y=-3x^2+2x+201

Step-by-step explanation:

1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??


Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .

Answers

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you XD ✌️Carry on learning !!

Need help ASAP! Directions in picture;)

Answers

Answer:

x+43⁰+52⁰=180⁰ [being triangle]

x⁰+95⁰=180⁰

x⁰=180⁰-95⁰

x⁰=85⁰

The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?​

Answers

27.5

Just divide 330 and 12 because 1 dozen is 12!

Answer:

27.5

Step-by-step explanation:

what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work

Answers

Answer:

7/16 of book

Step-by-step explanation:

1/8 book in 2 days means Lora reads 1/16 book every day

In 1 week (7 days), Lora reads 7 x 1/16 = 7/16

pls pls pls help!! will mark brainliest

Answers

The last one y>-4


I hope this right

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

it’s is even bc it doesn’t go through the origin

Answer:

even

Step-by-step explanation:

Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.

Answers

It is 103.68 degrees :)

One oval weighs how much

Answers

Answer:

5.5

Step-by-step explanation:

11 divided by 2 is 5.5

What part of the coordinate plane is equidistant from the points A(-3,2)and B(3,2)?
explain the answer

Answers

It must be B (3, -2) to be equal

how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length​

Answers

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices

Answers

Answer:

D. All if the choices , credit cars , banks and issuer banks

I need the answers and explanation to a b c and d

Answers

Answer:

B I THINK

Step-by-step explanation:

H.C.F of 378 and 567 and 252

Answers

Answer:

Their highest common factor is the number 9

In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576​

Answers

Answer:

C

Step-by-step explanation:

What is the surface area? 10 mm
7 mm
4 mm

Answers

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b

Answers

Answer:

-a + 7b

Step-by-step explanation:

This problem is asking you to simplify the equation.

In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).

So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.

So all together we have -a + 7b.

Hope this helps you :)

[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]

[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]

[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]

[tex]\\ \sf\Rrightarrow -a+7b[/tex]

[tex]\\ \sf\Rrightarrow 7b-a[/tex]

Which pairs of figures are congruent? Which pairs are similar?


Answers

Answer: Look at the explanation

Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.

Congruent figures have the same shape and size.

Similar figures have the same shape but different size.

The 1st figure is not congruent but it is similar.

2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.

3rd figure is both, congruent and similar which are both triangles.

4th figure is neither. There is a circle and an elipse, which are both round but different shapes.

By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.

Hope this helps. Happy learning!

find the zeros of the function f(x) = (x+3)^2-4=0

Answers

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

work out m and c for the line: 5x-3y+4=0

Answers

Answer:

[tex]m = \frac{5}{3}[/tex]  

[tex]b = \frac{4}{3}[/tex]

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]

[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]

This means that  [tex]m = \frac{5}{3}[/tex]  and [tex]b = \frac{4}{3}[/tex].

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Find the value of 3a^2+2b, If a=3 and b = 4.

An explanation would be great.

Answers

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

the picture i need help with this answer. the problem is in the picture

Answers

Answer:

Step-by-step explanation:

What is 3/7 + 4/18 estimated

Answers

Answer:

41/63

Step-by-step explanation:

41/63 can't be simplified

Answer:

3/7+4/18=41/63

Step-by-step explanation:

3/7=3x18/7x18=53/126

4/18=4x7/18x7=28/126

54/126+28)126=54+28/126=82/126

82/126

simplify

41/63

Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither

Answers

This is going to be geometric cause this doesn’t really follow a fixed sequence

Write the equation through (2,5) parallel to the line through (8,0) and (0,8)

Answers

Answer:

y = -x + 7

Step-by-step explanation:

As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run').  Thus, the slope of this line is m = rise/run = 8/(-8) = -1.

Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:

0 = -1(8) + b, or b = 8

Then the equation of the line through the two given points is y = -x + 8.  Any line parallel to this one has the same slope:  m = -1.

Repeat the above work to find the y-intercept of the line parallel to y = -x + 8  that goes through (2, 5):

5 = -2 + b, or b = 7

Then the desired line (final answer) is y = -x + 7

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

At a salad bar, the cost per ounce is
$
0.85
, and the container costs
$
0.25
. Which function represents the total cost of a salad weighing
w
ounces, and what is the total cost,
C
, of a salad weighing
8
ounces?

Answers

Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

Plz actually answer cuz i need the answer for that grade upgrade

Answers

Answer:

The answer is I think the opened circled -> but I'm not 100% sure

Step-by-step explanation:

Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation

Answers

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]

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