Write the equation of the line perpendicular to 5y - 5x = -20 that passes through the point (-3, 8)

Answers

Answer 1

Answer:

x+y-5=0

Step-by-step explanation:

let eqn Perpendicular to eqn 5y-5x=-20 be -5x-5y+k=0------(1)

eqn (1) passes through (-3,8)

-5×-3-5×8+k=0

15-40+k=0

K=25

since required eqn perpendicular to 5y-5x=-20 is -5x-5y+25=0

x+y-5=0ans.


Related Questions

Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.

Select one:
a. 18
b. 6
c. 36
d. 12

Answers

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

Determine the length of AB.
16.3 units
23.6 units
5.7 units
14.9 units

Answers

Answer:

16.3

Step-by-step explanation:

i just took the quiz

Answer:

16.3 units

Step-by-step explanation:

Helloo, I just took the quiz too and the answer is 16.3

Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555

Answers

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ (100 + 10 + 1)

… = 10⁷ × 111

… = (2 × 5)⁷ × 111

… = 2⁷ × 5⁷ × 111

… = 2⁷ × 5⁶ × 555

[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Multiply straight across and reduce.

[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]

Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?

Answers

Answer:

$20

Step-by-step explanation:

5 copies cost $1.

25 copies cost $5.

So you have to do 100/5=$20 for 100 copies.

Answer:The answer is 20

Step-by-step explanation:

A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the probability that the number on the upward face is divisible by 3. (Enter the probability as a fraction.)

Answers

Answer:

the probability is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

there are 4 numbers on a 12 sided die that can be divided by 3: 3, 6, 9, and 12.

so the probability would be [tex]\frac{4}{12}[/tex], or [tex]\frac{1}{3}[/tex]

Using the concept of probability. The chances of having a value which is divisible by 3 is 1/3

Recall :

Probability = required outcome / Total possible outcomes

Total possible outcomes = Sample space = 12

Required outcome = numbers divisible by 3 :

(3, 6, 9, 2) = 4 outcomes

P(number divisible by 3) = 4 / 12 = 1/3

Therefore, the probability of having a number which is divisible by 3 is 1/3

Learn more : https://brainly.com/question/18405415

can someone help me with this please​

Answers

Answer:

for question B

2A 3C = 70

70-15 = 55/5 = 11.

so each child is 11

while adult 11 + 7.50 = 18.50

A cable 45 m long runs from the top of a utility pole to a point on the ground 40 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
20.6 m


85 m


5 m


60.2 m

Answers

Answer:

20.6 m

Step-by-step explanation:

Hi there!

Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.

The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.

We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.

We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse

Plug in the known information (leg=40, hyp=45)

[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]

Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.

I hope this helps!

Find the measure of the indicated angle

Answers

Answer:

[tex]given\Longrightarrow AB=AC[/tex]

[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]

[tex]\angle~A+\angle~B+\angle~C=180[/tex]

[tex]x+60+60=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

-------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

Help me to do this question plz plz plz ​

Answers

Answer:

area of parallelogram=base *height

Answer:

area =36cm²

Step-by-step explanation:

area of parallelogram= b×h

9×436cm²

hope it helps stay safe healthy and happy..

Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice

Answers

Answer:

2/6 chance the dice be rolled to the total of 12

express 3 as a percent of 5

Answers

Answer:

0.15

Step-by-step explanation:

first get three percent:

3/100 = 3%

then use of operation:

3% of 5;

= (3/100) * 5

Answer:

60%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , then

[tex]\frac{3}{5}[/tex] × 100% = [tex]\frac{3(100)}{5}[/tex] = [tex]\frac{300}{5}[/tex] = 60%

Can someone help with this

Answers

Answer:

Step-by-step explanation:

[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]

Mean = 3.95

B) To find the median, arrange the data in ascending order

3.3 ;  3.6 , 3.8  ; 3.8  ; 4.1  ; 5.1

As number of data is even, median = Average of (n/2)th term and (n/2)th term +1

= Average of 3 and 4th term

[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]

Median  = 3.8

C) 3.8 occurs two times.

So, Mode = 3.8

d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase

e) If April (3.8)  is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase

If April is deleted from chart,  there will be no change in median.

Still median will be 3.8 only

hi can you help me in mate plis simplify the following algebraic expressions​

Answers

Answer:

[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Chứng minh a=(P.sinA/2)/(cosB/2.cosC/2)

Answers

Answer:

I can't understand your question friend.

If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?

Answers

Answer: 40

Step-by-step explanation:

If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts we have

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that 20 lemons are cut by half.

cut half of these halves by half.

We need to find how many lemon parts will you have.

Let us consider a lemon whic is 1

Now let us make it half 1/1/2=2

Now each part is divided to half =2/(1/2)=4

So for one lemon it has 4 parts.

Now let us find for 20 lemons.

Multiply 20 with 4

20×4

80 parts

Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts will you have

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ5

Mike was in charge of collecting contributions for the Food Bank. He received
contributions of:
$40, $80, $60, $40, and $100
Find the mean, median, and mode of the contributions.

Answers

What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)

$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean

what is median: The median is the value separating the higher half of a data sample

40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.

What is Mode: the number that repeats the most

Mode is 40 because 40 repeats twice

find the positive square of 7.3441​

Answers

Answer:

find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.

Step-by-step explanation:

A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?

Answers

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

sketch the graph of xy = 3y² - 4​

Answers

Answer:

xy = 3y² - 4

Step-by-step explanation:

Hope it is helpful....

In the file i have attached, you will find the equation graphed, hope this helps.

What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]

A)
[-6 -3]
[6 9]

B)
[-6 -3]
[-2 -7]

C)
[-4 1]
[-2 -7]​

Answers

Answer:

I think that ans is A.....

Round 7874 to the nearest 100

Answers

Seven thousand eight hundred seventy four. You would eight to nine so 7900 would now be your answer.

Answer:

7900 is the round off to the nearest hundred

Can someone please be generous and help me

Answers

Answer:

The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:

[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]

Using Point One, the point-slope form is determined as:

[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]

The y-intercept(b) can be calculated as:

[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]

what is the percentage of 690 out of 800

Answers

Answer:

the percentage of 690 out of 800 is 86.25%

Step-by-step explanation:

690/800 = 0.8625

0.8625*100 = 86.25

hope it helped :)

mark me brainliest

Answer:

86.25%

Step-by-step explanation:

2c(u-6)+(u-6) complete the expression

Answers

Answer:

the answer to the expression is u=4

Iliana rotated trapezoid WXYZ 180° about the origin.

On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).

What is the correct set of image points for trapezoid W’X’Y’Z’?

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)

Answers

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)

The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)

Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;

W(-4, 2) rotated 180° about the origin gives W'(4, -2)

X(-3, 4) rotated 180° about the origin gives X'(3, -4)

Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)

Z(0, 2) rotated 180° about the origin gives Z'(0, -2)

Therefore, we get;

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).

Answer:

Its A

Step-by-step explanation:

i just took the test.

Which of the following equations correctly represents the law of cosines?

A. 2 = 22 + b2 - 2ab.cos(B)
B. 2 = 22 + c2 - 2ac.cos(C)
C. a2 = b2 + c2 - 2bc.cos(A)
D. b2 = 22 +62 - 2bc.cos(B)

Answers

Answer:

D. b2 = 22 + 62-2bc.cos(B)

The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0

Answers

Answer:

8 and 1

Step-by-step explanation:

? + ? = 9
? - ? = 7

8 + 1 = 9
8 - 1 = 7

Final Answer: 8 and 1

Have an amazing day!

Answer:

8 and 1

Step-by-step explanation:

The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.

8-1=7

4-5=-1

6-3=3

9-0=0

And just to double check, we try adding 8 and 1, which is 9! Yay! :P

What will you use if you are looking for the space bounded by a rectangle A. 2(I + w) B. S² C. B × h ________ 2 D. I × w

Answers

Answer:

A. 2(I + w)

Step-by-step explanation:

The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.

As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.

So, P = 2(l + w)

substituting the values of l and w into the equation, we have

P = 2(l + w)

P = 2(40 m + 20 m)

P = 2(60 m)

P = 120 m

So the space bounded by the rectangle is 120 m.

So, to find the space bounded by a rectangle, we use 2(l + w).

So, the answer is A.

Nissa is going to plant 485 485485 trees this year. If Nissa plants 5 55 orchards of trees, how many trees will be in each orchard?

Answers

Answer:

There will be 97 trees in each orchard.

Step-by-step explanation:

Given that,

Nissa is going to plant 485 trees this year.

Nissa plants 5 orchards of trees.

We need to find the number of trees in each orchard. Let it is n. So, we can find it as follows :

[tex]n=\dfrac{485}{5}\\\\n=97[/tex]

So, there will be 97 trees in each orchard.

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