Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4

Answers

Answer 1

Answer:

[tex]9x+5y=-20[/tex]

Step-by-step explanation:

[tex]y = \frac{5}{9} x - 4[/tex]

compare with that y=mx+c

where m=slope .

So after comparing we get m=[tex]\frac{5}{9}[/tex]

As the lines are perpendicular

[tex]m1*m2=\ -1[/tex]

[tex]m2 \ =\ \frac{-1}{m1}[/tex]

therefore m2=[tex]\frac{-9}{5}[/tex]

Now from the equation

[tex]y - b = m(x - a )[/tex] this equation passing to the point (-5,5) with m=[tex]\frac{-9}{5}[/tex]

[tex]y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20[/tex]

Therefore equation is

[tex]9x+5y=-20[/tex]


Related Questions

Choose the graph that correctly corresponds to the equation x = −4.

Answers

Answer:

Option D is true. ( graph of a vertical line through the point (negative 4,0)

Step-by-step explanation:

A company makes glass lawn ornaments with a radius of 9 inches. The glass to make the balls costs the company $0.03 per
square inch. To the nearest cent, how much does the company pay for the glass to create one omament? Use 3.14 for
Recall the formula SA=472
$3.39
$6.78
$30.52
$122.08

Answers

Answer: $30.52

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the ornament:

Surface Area of a sphere = 4π r²

Replacing with the values given:

A = 4(3.14) (9)² = 1,017.36in2

Finally, we have to multiply the surface area by the price per square inch of glass.

1,017.36 (0.03)= $30.52

Feel free to ask for more if needed or if you did not understand something.

Answer:

$30.52

Step-by-step explanation:

4 x 9^2 x 3.14 x 0.03 = around 30.52

Find P(Not a 3)????????????

Answers

Answer:

0.85

Option B is the right option.

Solution,

P(3)=0.15

P(Not a 3)=1-P(3)

=1-0.15

=0.85

Hope this helps...

Good luck on your assignment

Answer:

I think it's c im not to sure

Step-by-step explanation:

angle in semi circle is 90

Answers

Answer:

Step-by-step explanation:

HEEEEEELLLLPPPP
Jade measured the height of an art frame as 5.23 feet, but the actual height was 6 feet. What is the percent of error in Jade’s measurement?

12.83%
13.55%
14.72%
15.55%

Answers

Answer: A

Step-by-step explanation:

Percentage error is error divided by actual value multiply by 100. That is,

%error = error/actual value × 100

If Jade measured the height of an art frame as 5.23 feet, where the actual height was 6 feet. Then,

Error = 6 - 5.23 = 0.77

Substitute error = 0.77 and the actual value = 6 into the formula

%error = 0.77/6 × 100

%error = 12.83 %

Therefore, the percent of error in Jade’s measurement is 12.83%

Answer:

12.83

Step-by-step explanation:

took the test got a 100% percent surprisingly  ummmm anywaysss....

What is the distance between the coordinates (5,5) and (7,2)? Round your
answer to the nearest tenth.

Answers

Answer:

3.61 Units

Step-by-step explanation:

Answer:

D = 3.6

Step-by-step explanation:

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(7-5)^2+(2-5)^2}[/tex]

D = [tex]\sqrt{(2)^2+(-3)^2}[/tex]

D = [tex]\sqrt{4+9}[/tex]

D = [tex]\sqrt{13}[/tex]

D = 3.6

match each equivalent expression.

Answers

Answer:

4x+4x+4x+4x  => 16x

4x+4x => 8x

-7x+4+3x => -4x+4

3x+5x+8 => 8x+8

4x+4x= 8x

4x+4x+4x+4x= 16x

3x+5x+8= 8x+8

-7x+4+4x= -4x+4

I need help with this please.

Answers

Answer:

a)24 b)96

Step-by-step explanation:

The Rule for any term is:

xn = ar(n-1)

a=3

r=2

x4=3 x 2(4-1)=3 x [tex]2^{3}[/tex] = 3 x 8 = 24

x6 = 3 x 2(6-1)=3 x [tex]2^{5}[/tex] = 3 x 32 = 96

f(13)=45,000(0.9)^13

Answers

Answer:

About 879.877

Step-by-step explanation:

To find f,

f(13) = 45,000(0.9)^13

13f = 45,000(0.25418658283)

13f = 11438.3962274

f = 879.877

Please tell me I did this the right way, Thanks!

Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

Answers

Answer:

A)f(x)=2x-9 and g(x)=(x+9)/(2)

Step-by-step explanation:

f(g(x)) =x for inverses

A)f(x)=2x-9 and g(x)=(x+9)/(2)

2(x+9)/2) -9 = Canceling the 2  x+9 -9 = x   inverse

B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)

2/(x+6)/2 ) -6 =4/(x+6) - 6  This will not give me x

C)f(x)=(x)/(3)+4 and g(x)=3x-4

(3x+4)/3  -4  = x + 4/3   -4    This will not give me x  

D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

5 + cuberoot ( 5-x^3)  This will not give me x back

Answer:

2x-9 is the inverse of x+9/2

Step-by-step explanation:

If f(x) = 5x2 - 3 and g(x) = x2 - 4x - 8, find (f - g)(x).
A. (f- g)(x) = 4x2 - 4x - 5
B. (f- g)(x) = 4x2 + 4x + 5
C. (f - g)(x) = 2x2 - 11
O D. (f- g)(x) = 6x2 - 4x - 11
SUBMIT

Answers

Answer:

B

Step-by-step explanation:

5x² - 3 - (x² - 4x - 8)

5x² - 3 - x² + 4x + 8

4x² + 4x + 5

Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits.

Answers

Answer:

Y=2, E=9, A=1, R=0

Step-by-step explanation:

YYYY starts from thousand

EEE starts from hundred

AA starts from tens

R is a units

So we can have

1000Y+100Y+10Y+Y-100E-10E-E+10A+A-R=1234

1111Y - 111E + 11A - R=1234

Y cannot be greater than 2 and it can't be 1 either because

if Y is 1, we will have a total of one thousand one hundred and eleven (1111) which is less than one thousand two hundred and thirty-four (1234) as from the answer in the question

So, it is safe to say Y=2 in order to have two thousand two hundred and twenty-two(2222)

This means that Y must be 2:

2222-111E+11A-R=1234

In this case, E would have to be 9 to make it possible for this to have a solution, by bringing it down to 1223.

YYYY-EEE

2222-999=1223

1223+11A-R=1234

1223+11=1234

This means that A must be 1 and that R must be 0.

2222

- 999

+11

-0

=1234

If ΔABC has vertices A (3, –1), B (2, 1), and C (5, 3), find vertices of its image ΔA′B′C′ after dilation with a scale factor of 2 about the origin. answers: A) A′ (3∕2, 1∕2), B′ (1, 1∕2), C′ (5∕2, 3∕5) B) A′ (6, –2), B′ (4, 2), C′ (10, 6) C) A′ (6, 2), B′ (2, 2), C′ (10, 6) D) A′ (6, 2), B′ (4, 2), C′ (10, 6)

Answers

Answer:

A' (6, -2)

B' (4, 2)

C' (10, 6)

Step-by-step explanation:

When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.

(3, -1) × 2 = (6, -2)

(2, 1) × 2 = (4, 2)

(5, 3) × 2 = (10, 6)

Answer:

B

Step-by-step explanation:

Write the inequality for this graph.
Use x as your variable.
(Zoom in for better quality)

Answers

Answer:

x=7over4

Step-by-step explanation:

The answer is x=-4over7

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

243,729

Step-by-step explanation:

You just need to multiply each number by 3.

I hope this help you :)

Answer:

243, 729

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

1, 3, 9, 27, 81,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

1 - first term

3 - second term

1 ? ? = 3

1 × 3 = 3

So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

1, 3, 9, 27, 81,...

1 × 3 = 3

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

So, since 'multiply three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

81 × 3 = 243

243 × 3 = 729

Therefore, the next two terms in the sequence are 243, 729.

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

The measure of angle 3 is 42°
What is the measure of angle 1 in degrees

Answers

Answer:

48 degrees

Step-by-step explanation:

Angle 2 is a right angle.

Right angles are 90 degrees.

A line is 180 degrees.

Angle 1, 5, and 2 form a line.

180-90=90

That means that Angles 1 and 5 add up to 90 degrees.

We know that Angle 3 is 42 degrees.

Angle 3 and 5 are Vertical angles.

Vertical angles are always congruent.

This means that Angle 5 is also 42 degrees.

As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)

42+x=90

Subtract 42 from both sides.

x=48

m<1=48

Answer:

It is 48 degrees because I took the test

Step-by-step explanation:

Does anyone know I need help

Answers

Answer:

7.9% reduction.

Step-by-step explanation:

Kerrin's initial weight can be calculated by 13(14)+7=189 pounds.

Three months later he weighs 12(14)+6=174 pounds.

The difference between 189 and 174 is 15 pounds.

[tex]\frac{15}{189}[/tex]≈.0793651 or 7.9%.

Please help meh look at the phot I gave you.

Answers

Answer:

C

Step-by-step explanation:

Point B is at -0.5, -1 is not greater than -0.5.

Point A is at -1 and is not greater than Point B, because Point B is at -0.5.

Therefore, it is none of the above.

Answer:

C

Step-by-step explanation:

Therefore, it is none of the above.

How many people have a membership?​

Answers

Answer:

38 people have a membership.

Step-by-step explanation:

That's because the bottom row shows how many years they've had the membership.

And the y axis shows how many people or the frequency of people having the membership for that amount of years.

So its a bar graph that shows you how many of the members have had the membership for a set amount of years.

So all you have to do is add up each column,

0-2 years = 6 people

2-4 years = 8 people

4-6 years = 10 people

6-8 years = 8 people

8-10 years = 6 people

6 + 8 + 10 + 8 + 6 = 38

Please help me is about polynomials

Answers

Answer:

(x + 3)(x² – 3x + 7)

Step-by-step explanation:

To express x³ + 2x + 21 in the form of (x + 3)(px² + qx + r),

we need to divide (x³ + 2x + 21) by

(x + 3), since (x + 3) is a factor of

(x³ + 2x + 21)

See attached photo on how to divide (x³ + 2x + 21) by (x + 3).

From the attached photo,

(x³ + 2x + 21)/ (x + 3) = x² – 3x + 7

Therefore,

x³ + 2x + 21 => (x + 3)(px² + qx + r)

x³ + 2x + 21 => (x + 3)(x² – 3x + 7)

Select the sets that are not functions.

(answer choices are in picture)

Answers

Answer:

C is not a function

Step-by-step explanation:

Answer:

The answer is D and E

Step-by-step explanation:

- D is not a function because x in (x,y) coordinate sets, 1 is being repeated over and in this case 1 is repeated 4 times.

- E is not a function because x in (x,y) coordinate sets, 6 has been repeated 2 times; (6,2), and (6, -1).

The slope of the graph of y = -6x is _______

Answers

Answer:

Step-by-step explanation:

slope = -6

y-intercept=0

Answer:

Slope = m = -6

Step-by-step explanation:

Compare the given equation with slope-intercept form as:

y = mx + b

y = -6x + 0

m = -6 and b = 0

Best Regards!

List 4 multiples of 24.

Answers

Answer:

24,48,72,96,120,144,168,192,216,240,264,288,312,336,360,384,408,432,456,480,504,528,

Step-by-step explanation:

hope this helps you sorry for the extra :)

Answer:

4, 6, 8, 12

Step-by-step explanation:

I cant think up an explanation so i hope this helps!

Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of
thread he plans to use except for green. If every bracelet uses 22 inches of each color of
thread, how many feet of green thread should Neil buy from the craft store?

Answers

Answer:

your answer is 11 feet, or 132 inches.

Step-by-step explanation:

one bracelet needs 22 inches, but he's making six, so multiply.

you should get 132, which can be divided by 12 to see how many feet you need, since this is what the question requires.

Hope I Helped!

If you flip a coin, how many possible outcomes are there? A. 1 B. 2 C. 3 D. 4

Answers

Answer:

B. 2

Step-by-step explanation:

There are 2 sides to a coin. If you only flip once, the only possible outcome is heads or tails.

Answer:

2

Step-by-step explanation:

a coin has 2 sides heads and tails there is a 50% chance of getting both heads and tails!

please mark me brainliest :)

ASAPPP What is the slope of the line represented by the equation y
3?
-3
4
o
O

Answers

The slope of the line represented by this equation is 4/5.

We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).

This equation is in slope-intercept form, or

y = mx + b where m is the slope and b is the y-intercept.  The number in the m position in our equation is 4/5, so the slope is 4/5

Hope this helps!

please mark me brainliest!

Which one ??????? :(

Answers

Answer:

D.

Step-by-step explanation:

A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.

Answers

Answer:

volume of water in the tank when it its half full

The capacity of the water tank = (5.04) /2 = 2.52 m³

2,520 litres

Step-by-step explanation:

Dimensions of a water tank:

Length (l) = 2.0 m,

wide (w) = 1.4 m,

Depth (h)= 1.8 m,

Volume of the tank (V)

LWH

2.0m × 1.4m × 1.8 m

= 5.04 m³

= 5.04 × 1000 litres

/* 1m³ = 1000 litres */

5,040 litres

Therefore,

The capacity of the water tank = 5.04 m³

5,040 litres

For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?

Answers

Answer:

k = -2

Step-by-step explanation:

Given equation

1-kx = -3y

point on this line =  (4,-3)

If point lies on the given line, then if we plug in the value  (4,-3), then it will satisfy the equation

1-kx = -3y

using x = 4 and y = -3

1-k*4 = -3*-3

1 - 4k = 9

=> -4k = 9 -1 = 8

=> k = 8/-4 = -2

Thus, value of k is -2

Other Questions
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