Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4


Related Questions

what is the length of segment XZ?
192
12
8
144

Answers

Answer:

12 is the length of XZ

Step-by-step explanation:

Pythagorean Theorem Formula: a² + b² = hypotenuse²

x² + 5² = 13²

x² + 25 = 169

x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)

x² = 169 - 25

√x² = √144

x = 12

3 to the power of 1/7

Answers

Answer: 0.42857142857

Step-by-step explanation:

Use the graph below to find the indicated expression: f(3)-f(-3)

Answers

Answer:

f×3-f×(-3)

3f+3f

solution:

6f

Step-by-step explanation:

hope it's can help

Find the x-intercept and y-intercept of the line and then graph the equation
-4x+2y=-4

Answers

Answer:

x-intercept is 1  and y-intersect is -2

Step-by-step explanation:

To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.

-4x + 2y = -4         Let x = 0  and solve for y

-4(0) +2y = -4

0 + 2y = -4

 2y = -4

    y = -4/2 ; y = -2       y- intercept is -2

                         

                              Let  y = o and solve

     -4x + 2y = -4

      -4x + 2(0) = -4

     -4x + 0 = -4

      -4x = -4

         x = -4/-4 ;  x = 1           x-intercept is 1

What single percentage change is equivalent to a 14% increase followed by a 11% decrease?

Options:
4.54% decrease
26.54% increase
4.54% increase
1.46% decrease
26.54% decrease
1.46% increase ​

Answers

Answer:

1.46%

Step-by-step explanation:

Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.

is -5.25 greater than -3

Answers

Answer:

False    -5.25 is < (less than) -3

Step-by-step explanation:

HELP!
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.

Answers

9514 1404 393

Answer:

60x +15000 ≥ 18x + 57000≥ 1000 cyclists

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.

758 rounded of to the nearest hundred

Answers

Answer:

800

Step-by-step explanation:

Hope this helps

Answer:

800, if it's higher than 50 you can round it to the next hundred

Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!

Answers

Answer:

9. 31/2 or 15.5( I think that's the answer)

10. B

Step-by-step explanation:

Helpppppppp meeeeeeee

Answers

Answer:

Step-by-step explanation:

solution 1:

570 not man = 15% (cause 100% - 85%)

15% = 570

100% = w (for "whole package")

15w = 100 * 570

15w = 57000

w = 57000 / 15

w = 3800

solution 2:

15% = 570

85 = m (for "men)

15m = 570 * 85

15m = 48450

m = 48450 / 15

m = 3230

100% = 85% + 15%

100% = b (for "buch of people")

b = 3230 + 570

b = 3800

7. The ratio of the base to height of a triangle is 3:5. If the area of this triangle is 30, find the lengths of the base and height.​

Answers

Answer:

Base= 6

Height= 10

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base be 3x and the height be 5x.

Given that the area is 30,

½ ×base ×height= 30

½(3x)(5x)= 30

Multiply both sides by 2:

3x(5x)= 60

15x²= 60

x²= 60 ÷15

x²= 4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2

(reject x= -2 since length has a positive value)

Length of base

= 3x

= 3(2)

= 6

Length of height

= 5x

= 5(2)

= 10

Hello, please be honest, is this correct?

Answers

yup your right ( i’m just writing here so it lets me send it)

Answer:

Yes that is correct you got keep up good work

What percent of the hours were billed by Jon, Roy, or Dean?
Write your answer using a percent
sign (%).

Answers

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming? In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming?

Answers

The number of student taking math is 37 while the number of students taking programming is 74

Universal set = 97

let

The number taking math = x

The number taking programming = 2x

The number of students that take exactly one subject = 53

The student taking neither of the subject = 15

The number of students taking only maths will be

x - n(m ∩ p)

The number of students taking only programming will be

2x - n(m ∩ p)

let

n(m ∩ p) = y

Therefore,

x - y + 2x - y = 53

3x - 2y = 53

Also,

97 = x + 2x - y + 15

3x - y = 82

Therefore,

3x - 2y = 53

3x - y = 82

-y -(-2y) = 82 - 53

y = 29

3x - 29 = 82

3x = 82 + 29

3x = 111

x = 111/3

x = 37

Finally,

number of students taking maths = 37

number of student taking programming = 37×2 = 74

Check similar problem on sets: https://brainly.com/question/16132324?referrer=searchResults

Pleas help me out here.

Answers

Answer:

A and E

Step-by-step explanation:

The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).

It is not considered a function because it has the same input for every given output.  This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.  

The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values.  Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.

Because it is not a function, Options B, C, and D are invalid answers.

Hence, the correct answers are Options A and E.

I think of a number Then multiply it by 3 then add 4 then divide by 4 my final answer is 3 less than the number is the number i thought of the beginning.

Write it as an equation and solve.

Answers

(3x + 4) / 4 = x - 3
3x + 4 = 4x - 12
-x + 4 = -12
-x = -16
x = 16

Check:
(3x + 4) / 4 = x - 3
(3*16 + 4) / 4 = 16 - 3
(48 + 4) / 4 = 13
52 / 4 = 13
13 = 13

needing help with fraction problem

4/11 - 10/8 equals?

having trouble breaking it down to get the answer

Answers

Answer:

71/44

Step-by-step explanation:

Here the LCD is the product of the two denominators given:  11*8 = 88.

We rewrite 4/11 as 32/88 and 10/8 as 110/88.  Now the denominators are the same.

Combine  32/88 and 110/88.  We get the sum  142/88, which reduces to 71/44.

Answer:

-39/44.

Step-by-step explanation:

We need to find the lowest common multiple of 11 and 8.

This is 88.

Now to convert the 2 fractions to denominator 88 we multiply first by

8/8 and the second by 11/11:

4/11 - 10/8

= 32/88 - 110/88

= -78/88

= -39/44

Estimate and then solve 6,699 ÷ 72 = ___.

92 r 4
93 r 3
93 r 4
94 r 3

Answers

Answer:

It would be 93 remainder 3/the second one.

right please no link or bot

Answers

Answer:

3^18

Step-by-step explanation:

Hope it helps

Answer:

3^3

Step-by-step explanation:

A baker packed 24 cupcakes into each box. After he had packed 37 boxes of cupcakes, there were 248 cupcakes left. How many cupcakes were there altogether?

Answers

Hope this helps have a great day!!!!!

Identify the angles that each have a measure of 60\degree

Answers

Answer:

parrelel

Step-by-step explanation:

How many combinations are possible? Assume the items are distinct.
10 items chosen 10 at a time

Answers

About 100 combinations are possible because u have to do 10x10

Explain why there is not enough information to state that CP is the perpendicular bisector of AB.

Answers

Answer:

First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.

Step-by-step explanation:

A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.

-kiniwih426

I need it asap fast and I give brainliest to a right answer.

Answers

Answer:

hiik

Step-by-step explanation:

rvnlgsudffstdrestdftuisffjhigyhoffyxhcccdfidsudjifg

C + A might equal B Bc I want you to B with me puuuu Smooth

the ratio 4:2 is equivalent to 2

Answers

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

A number that has more than two factors is a

Answers

Composite number? I’m not sure if that’s what you’re working on but it’s a true statement.

Choose the pythagorian triplet with the smallest number as 10.

a) 24, 26, 10
b) 10, 6, 8
c) 10, 16, 18
d) 10, 18, 20​

Answers

Answer:

b

Step-by-step explanation:

pls give brainliest hope helpful

Homework help!!!!!!!

Answers

Answer:

r = -9

Step-by-step explanation:

the less the negative number is the more it is .

PLS HURRY WILL GIVE BRAINLIEST & 20 PTSS!!!!

Answers

Answer:

(0,2) x (3,-2)

Step-by-step explanation:

what is the total surface area of the prism in square inches

Answers

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

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