Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20​

Answers

Answer 1

Answer:

Step-by-step explanation:

8x+5y = 20

y = (-8/5)x + 4

slope of the line is -8/5.

slope of any perpendicular to the line is ⅝.

line of slope ⅝ that passes through P(4,5):

y-5 = ⅝(x-4)

y = ⅝x + 2.5

find intersection of lines

⅝x + 2.5 = (-8/5)x + 4

25x + 100 = -64x + 160

89x = 60

x = 60/89, y = 260/89

distance between (60/89, 260/89) and (4,5) = 3.92


Related Questions

Hector can fit 75 compact discs into 5 boxes. How many compact discs can he fit into 14 boxes?

Answers

Answer:

Hector can fit 210 compact discs into 14 boxes.

What is the area of a circular dinner plate that has a diameter of 10 inches?

Answers

Answer:

I love Math anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

78.5inches²

Step-by-step explanation:

area of a circle is pie r²

so to get the radius you half the diameter

and then u do pie×5²

or 25pie which is 78.5 (rounded to 1dp)

What is not a description of slope?
rise over run
the rate of change of a line
change in yover the change in x
the ratio of horizontal change compared to vertical change

Answers

Answer:

the ratio of horizontal change compared to vertical change

Step-by-step explanations

slope = difference of y/ difference of x

rise (y)  over (/)  run (x)

change in y over change in x  (y/x)

horizontal change (x): to vertical change (y) WRONG

I am having trouble with helping a friend on math and the question is
1/ (9/10+1/2) in the simplest form

Answers

in simplest form it should be 5/7

The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm and the aspect ratio is 4:3, then find the horizontal length and the vertical height of the TV screen.

Answers

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

Answer:

horizontal length=80, vertical length=60

Step-by-step explanation:

a^2 + b^2 = c^2

the tv is a 3:4:5 right triangle

the ratio is then changed from

3:4:5

to

60:80:100

because 100/5 = 20

so you multiply the original ratio by 20

(because the length of 100 that we are given is the hypotenuse of the triangle(diagonal of the tv))

Therefore,

the horizontal length is 80

the vertical lengt is 60

4. The cost of pizzas at two different shops is shown in the graph and table
below. Choose the true statement from the choices below. *
Pizza Shop A
Pizza Shop B
Pizzas
Pizzas
Cost ($)
2.
11
3
16 50
Cost (dollars)
35
30
25
20
15
10
5
7
38.50
.
0 1 2 3 4 5 6 7 X
Number of pizzas
A. If you buy 2 pizzas at each shop, you will pay the same price

Answers

Answer:

I am not too sure but i think 6+5=11

Step-by-step explanation:

where 6 comes first then 11 comes second and that equals 11

six out of eight dentists recommend crust toothpaste in a group of 156 dentists how many of them would recommend crest

A. 208
B. 147
C.117
D. 154​

Answers

Answer:

117

Step-by-step explanation:

crest :        6 x19.5=117

no creast : 2x19.5=39

whole : 8/156=19.5

Can you solve this problem ​

Answers

Answer: YES!!!!

Step-by-step explanation:

PLEASE HELP ME ALSO- GO TO MY PROFILE AND ANSWER THE LAST Question.

Answer:

Step-by-step explanation:

The length of the minute hand is 150% of the length of the hour hand.
In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest
tenth.

Answers

Answer:

267.1

Step-by-step explanation:

7 - 5x = 10 - (6x + 7)
Pls show the steps

Answers

Answer:

x = -4

Step-by-step explanation:

Find the surface area of the figure below 6m 8m 8m

Answers

Answer:

160

Step-by-step explanation:

PLEASE HELP ME I HAVE BEEN IN THIS QUESTION FOR MORE THAN 10 MINUTES PLEASE HELP

Answers

Answer:

31.40 ft^2

Step-by-step explanation:

You are trying to find the circumference, C = 2 * r * 3.14

1. To get the radius you divide the diameter by 2: 10 / 2 = 5

2. Plug your radius into the equation

C = 2 * 5 * 3.14

3. Your final answer should be 31.40 ft^2

John had two apples and he got more two apples how many apples does he have?

Answers

2 points the reason vdhfbdjrlejrjejrjr

Walter and Denise ordered a dessert to share at a restaurant. If Denise ate 1 8 of the dessert and Walter ate 4 5 of the dessert, what fraction of the dessert was left over?

Answers

Answer:

3/40

Step-by-step explanation:

Walter and Denise ordered a dessert to share at a restaurant. If Denise ate 1/8 of the dessert and Walter ate 4/5 of the dessert, what fraction of the dessert was left over?

Let the total dessert be represented as = 1

The fraction of the dessert left over =

1 - (4/5 + 1/8)

Lowest Common Denominator = 40

1 - (4 × 8 + 1 × 5/40)

1 - (32 + 5/40)

1 - 37/40

Lowest Common Denominator = 40

40 × 1 - 37 × 1/40

40 - 37/40

= 3/40

Therefore, the fraction of dessert that is left over = 3/40

Gwenn has a piece of ribbon that is 3 3/4 feet long. She want to cut pieces that are 5/8 feet long. How many pieces can she cut?

Answers

The correct answer is that Gwen can cut six pieces of ribbon that are 5/8 feet long

3x +1 = 4
Solve the equation

Answers

Answer:

1=x

Step-by-step explanation:

Please help using symbols, will give brainlist if correct

Answers

Answer:

(-7,4]

Step-by-step explanation:

I'm going to assume that you need this in interval form

The domain is just asking for all the possible x values

The x value that's furthest to the left is -7 and because it's an open circle we write ( instead of [

the furthest to the right the line goes is 4 and because the circle is closed it's written with ]

but it all together and get

(-7,4]

(WILL MARK AS BRAINLIEST IF CORRECT) Given f(x) = –x + 6 write an equation for f(x + 3).

What is happening to the function?

a. Shift up
b. Shift down
c. Shift left
d. Shift right

Answers

The answer is Shift left because the transformation is adding 3, meaning it shifts left 3.

what can be concluded from the graph

Answers

“Nothing can be determined from this graph”

Answer:

Either B or D

Step-by-step explanation:

The diagram shows a prism placed on a horizontal floor. The prism has height 3m. The volume of the prism is 18m^2. The pressure on the floor due to the prism is 75 Newton's/m^2. Work out the force exerted by the prism on the floor.

Answers

Area= 15^bbc
5 stars thx

Select the scatter plot with the strongest association.
40
40
30
30
20
20
10
10
0
10 20 30 40 x 0 10 20 30
y
40
40
30
30
20
20
10
10
0
0
0 10 20 30 40 x
0 10 20
30
40 x

Answers

Step-by-step explanation:

The plot with the points closest to being on the same line will be the plot with the highest correlation, or strongest association.

is 5m^3 -3m^4-7m a polynomial? State the type and degree of the polynomial.

Answers

Answer:

Yes it is a polynomial.

It is a trinomial.

The degree is 4.

Step-by-step explanation:

So polynomial is an expression that has variables, constants, and exponents. And all of these are connected through things like addition and subtraction. In this question, you have x as your variable, 0 as your constant, and 4,3,1 as your exponents.

A term is the part of the polynomial that is separated by + or - sign. So in this question, you have 5m^3, -3m^4, and -7m as your terms. Because you have three terms, therefore this is a trinomial.

The degree of polynomial is represented by the variable with the largest exponent, so in your case, 4 is your largest exponent, therefore the degree of the polynomial is 4.

What does "b" represent in y=mf+b

Answers

Answer:

Y-intercept

Step-by-step explanation:

Answer:

The number b is the coordinate on the y-axis where the graph crosses the y-axis or the y-intercept.

Step-by-step explanation:

An employee saved 25% of her $400 paycheck. How much money did she save?

Answers

Answer:

she had save 100 dallors

Miguel completed 24 out of 30 problems on his math test. Which represents the part of the math test Miguel completed?

Answers

Answer:

The 24

Step-by-step explanation:

The 30 represents how many problems there were in all

Hope I was Helpful!!

Ohhhhh No wait the answer is . 80 Im so sorry

B. 0.80

So, 24 out of 30 is equal to 80%.

If 100% = 1.0

Then 80% = 0.80

Hope this helps you out! Good luck. :)

What is the value of the expression below when a = -2, b = 3, C = -5

[a– 2ac + 56]

Answers

Answer:

34

Step-by-step explanation:

plug the coefficients in the equation, so

-2-2(-2)(-5)+56

Distribute the -2(-2)(-5), so it equals -20

so the equation is -2-20+56

add -20+56, so -2+36

-2+36=34

34 is your answer

Which set of ordered pairs represent a function?

Answers

I think it’s the 3rd one

Fourteen subtracted from a number written as an expression
14-x
x-14
x/14
14+x

Answers

Answer: A (14-x)

x is just another word for a number

-10b + 5 = 7b + 5
step by step

Answers

Answer:

b = 0

Step-by-step explanation:

Let's solve your equation step-by-step.

−10b+5=7b+5

Step 1: Subtract 7b from both sides.

−10b+5−7b=7b+5−7b

−17b+5=5

Step 2: Subtract 5 from both sides.

−17b+5−5=5−5

−17b=0

Step 3: Divide both sides by -17.

−175/17 = 0/-17

0

an angle measures 238 degrees, which is an equivalent coterminal angle measure

Answers

Answer:

c 58

Step-by-step explanation:

Answer:

Step-by-step explanation:

58

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