What is an equation of the line perpendicular to
y=1/5x+2 that contains (15,-4)

Answers

Answer 1

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5.  Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5:  -5.

Use the point-slope equation of a line:  y - k = m(x - h), where (h, k) is the point through which the new line passes.  Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).


Related Questions

the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k

Answers

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

Learn more here: https://brainly.com/question/25613656

How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation

Answers

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √

1/3 of 12= 2/3 of
how do I do this I've forgotten please help​

Answers

Answer:

6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.

Step-by-step explanation:

Alex and Maria went out for dinner. The bill was $25.80. They leave a 20% tip. How much of a tip will they leave?

Answers

Answer:

$5.16

Step-by-step explanation:

$25.80 x 20/100

Answer:

Step-by-step explanation:

Answer:

Tip Total: $ 5.16

Tip Each Person: $ 2.58

Total (Bill + Tip): $ 30.96

Total Each Person: $ 15.48

Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)
a. The commutative property used twice
b. The associative property followed by the commutative property
c. The commutative property followed by the associative property
d. The associative property used once​

Answers

Answer:B

Step-by-step explanation:

Find x from this equation 7x-5=10-3x

Answers

Answer:

x=1.5

Step-by-step explanation:

7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5

ok done. Thank to me :>

what is the lateral surface area of a right circular cylinder with height 10cm and base area 154cmsquare (use pi = 22/7)​

Answers

Answer:

Lateral surface area = 154cm²

Step-by-step explanation:

h = 10cm

pi = 22/7

base area = 154cm²

2πrh = 154cm²

2 × 22/7 × r × 10 = 154

440/7 × r = 154

r = 154 ÷ 440/7 = 2.45

r = 2.45

LSA of right circular cylinder = 2πrh

2 × 22/7 × 2.45 × 10

44/7 × 24.5 = 1078/7

1078/7 = 154

Therefore, lateral surface area = 154cm²

Hope it helps:)

4(x-3)/8=y change the subject to x

Answers

4(x-3)/8 = y
4(x-3) = 8y
4x - 12 = 8y
4x = 8y + 12
x = 2y + 3

If 2/3 of a number is 10, then what is 0.15 times of that number?
a) 225 b) 825 c) 22.5 d) 2.25
step by step explanation needed

Answers

Answer:

d) 2.25

Step-by-step explanation:

Let the number is x.

2/3 of a number is 10:

2/3x = 10x = 3*10/2 = 15

0.15 times of the number is:

15*0.15 = 2.25

Correct choice is d

10 divided by 2 is 5. 5 multiplied by 3 is 15. 15 multiplied by 0.15 is 2.25. So the answer is d) 2.25

Did I do this correctly? (please help asap will mark brainliest)

Answers

Answer:

Ooh that is incorrect try again.

find an equation of the line that passes through the points (-3,10) and (2,-5)

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +5 (from -3 to 2)

y changes by -15 (from 10 to -5)

so, the slope is -15/+5 = -3

the equation looks now like

y = -3x + b

let's use the first point

10 = -3×-3 + b = 9 + b

1 = b

so, the equation is

y = -3x + 1

opposite reciprocal of 1/3

Answers

Answer:

-1/3

Step-by-step explanation:

hope this helps

If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?

Answers

Answer:

The constant is that each 14 t-shirts you need to pay 78.40$

Step-by-step explanation:

If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.

helpppp meeee mateeee

Answers

No, Yes, No, No

-6 = (w/9) - 1

add 1 both side

-5 = w/9

multiply 9 by both sides

w = -45

Answer:

I'm pretty sure -45 is the only answer out of all of those.

Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.​

Answers

Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

[tex]221 + x \leq 304[/tex]

To solve it, we treat it similarly to an equality, hence:

[tex]x \leq 304 - 221[/tex]

[tex]x \leq 83[/tex]

Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at https://brainly.com/question/11713066

The answer prior to this is WRONG. The correct answer is "at most 83" miles.

Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.

How large could the percent error in Jada’s measurement be? Remember her error is 1/8 (.125) of the orignial height. Round to the nearest tenth of a %.

Answers

Answer: 2.6%

Step-by-step explanation:

4 3/4 = 4.75 which I'll be using because its easier for me

0.125 / 4.75 = 0.0263157895

0.0263157895 * 100 = 2.63157895

2.63157895%

Rounded is 2.6%

The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.

Answers

Answer:

add h then divide by 2 for h times f

Step-by-step explanation:

2x+1+4x+7+5x-1+4x-18+7x-39

Answers

Answer: x=2

Step-by-step explanation:

Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.

Complete the table below showing the length of the fence and the cost.

Answers

Answer:

?

Step-by-step explanation:

i did this problem before.......hmmmmmmmmmmmmm...

Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?

Answers

Answer:

She would of made $40.5 because of $81 divided between the 2 days that she worked

Help homework due soon!!!

Solving a word problem using a system of linear equations:

Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?

Answers

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

[tex]\mathbf{B = \frac 13}[/tex]

Substitute 1/3 for B in 2A + 3B = 4

[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

[tex]\mathbf{A = 1\frac 12}[/tex]

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Read more about linear equations at:

https://brainly.com/question/11897796

i don’t know what’s going on here, can someone help me?

Answers

Answer:

[tex](\frac{a}2;\frac{a}2)[/tex]

Step-by-step explanation:

You simply need to apply the formula for the midpoint of a segment - which is provided.

[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]

How to tell the degree of a polynomial graph.

Answers

Answer:

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain Talisa’s error.

Answers

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

The input is x, which is the number of minutes.The output is f(x), which is the cost of playing the game for x minutes.

Talisa's expression is given by:

[tex]f(x) = 12x[/tex]

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

[tex]c = \frac{1}{12}[/tex]

And the correct expression for the cost is:

[tex]f(x) = \frac{x}{12}[/tex]

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at https://brainly.com/question/24372153

Find the value of y.

Answers

Answer:

125

Step-by-step explanation:

You can find the interior angle next to the angle with the value of 100, because a straight line has an angle of 180, so that angle would be 80. You can do the same with the interior angle next to 135, with that angle having a value of 45.

The interior angles of a triangle always have the sum of 180, so to get the last interior angle add 80+45 and then subtract that from 180. That angle would be 55.

To get Y take the value of the interior angle subtract 55 from 180, which would be 125.

PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU




Which relation is a function

Answers

Answer: The top right one

Step-by-step explanation: A function means that each input has exactly ONE output, so no x coordinate can have more than one y. The top right is the only one that fits that description. You can check to see if a point is exactly above a given point.

Any math teacher here

Answers

Answer:

what's the question?

Step-by-step explanation:

Write each equation in STANDARD FORM. y=-2/3x+3

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve

Answers

Answer:

7

Step-by-step explanation:

I used keep change flip, and repeated the process and got the answer.

Hope this helps! :)

Answer:

1/72

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2

1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1

1/72

the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution

Answers

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer

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