Find the equation of the line ALGEBRAICALLY that is perpendicular to the line 5x - 8y + 24 = 0 and
has the same x-intercept as the line 7x - 12y - 70 = 0.

Answers

Answer 1

Answer:

Step-by-step explanation:

There are several things we need to do/know to figure this out. First we have to know that the perpendicular slope to a line is the opposite reciprocal of the slope of which it is perpendicular (did that make sense?!). In other words, we have to find the slope of the line 5x - 8y + 24 = 0 and then take the opposite reciprocal of it. Solving for y:

[tex]y=\frac{5}{8}x+3[/tex] with a slope of 5/8. The perpendicular slope, then, is -8/5. So we have m now in y = mx + b. Now onto the second equation...

The equation for which we need the same x-intercept is 7x - 12y - 70 = 0. The x-intercept exists when y = 0, so filling in a 0 for y:

7x - 12(0) = 70 and

x = 10. Now we know x. We also know, however, that when x = 10, y = 0, so we have everything we need to sub into the linear equation and solve for b:

0 = -8/5(10) + b and

0 = -16 + b so

b = 16 and the equation we are looking for is

y = -8/5x + 16


Related Questions

someone plz help with dis ​

Answers

Think it’s 16 is the answe e

Shawn rode his bike 3 miles to the library. He rode 4 miles to his friend’s house. Then, he rode 5 miles home. How many miles in all did Shawn ride his bike?

Answers

Answer is: 12 miles

A circle has a radius of 3. An arc in this circle has a central angle of 340°. What is the length of the arc? Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal. 340tom​

Answers

Step-by-step explanation:

length of arc=2πr(340/360)

= 2x3.14x3(0.944)

=17.78 approximately 17.8

857,963 five has a value of​

Answers

Answer: 5 has a value of 50 000 2.

4,289,815

Hope this helps ;)

structural formula of trihydric alcohol​

Answers

Answer:

(CH2)n(OH)3

hope it helps

Thank you

Step-by-step explanation:

I NEED HELP ITS ALMOST DUE!!

Answers

I think the value of w would be 9

Answer:

B) 9

Step-by-step explanation:

rise over run and simplify

PLEASE HELP ME WHAT IS THE ANWSER

Answers

Answer:

c is the same angle as a

b and d are the same as the other

and together the are what's left from 360° after a and c got their share

so

360 -98 -98 = b + d

makes

164 = b + d

since they are of equal value, just decide 164 by 2 and you got b and d at once

pls brainliest

Answer:

Vertical Angles: a and c , d and b

m<b= 82⁰ , m<c=98⁰ , m<d=82⁰

Adjacent Angles: a and b , b and c , c and d ,d and a

correct me if im wrong

Find the x. Please help

Answers

Answer:

14

Step-by-step explanation:

24/16 = 21/x

(24/16) • 21 = 14

Answer: I’m pretty sure it’s 14

Step-by-step explanation:

If the diameter of the circle is 42 cm, then the area of ​​the shaded area is​

Answers

9514 1404 393

Answer:

  781.4 cm²

Step-by-step explanation:

The shaded region consists of four (4) 30° sectors and eight (8) 60° segments. The formulas for the areas of these figures can be used.

  area of sector = (1/2)r²θ

  area of segment = (1/2)r²(θ -sin(θ))

For radius r, the area of the 4 sectors is ...

  sector area = 4(1/2)(r²)(π/6) = (π/3)r²

and the area of the 8 segments is ...

  segment area = 8(1/2)(r²)(π/3 -sin(π/3)) = 4r²(π/3 -√3/2) = (4/3)πr² -r²(2√3)

So, the total shaded area is ...

  shaded area = r²(π/3 +4π/3 -2√3)

The radius of the circle is 21 cm, so the shaded area is ...

  (21 cm)²(5π/3 -2√3) ≈ 781.4 cm²


Find the numerical value of the log expression.
log a = 11
log b = -5
log c= 6

Answers

Refer to the attachment for answer...

length of wall is 13.5m calculate the area in cm2 ​

Answers

Answer:

15 Apr 2018 — Area of path parallel to the remaining length of ... Area of parallelogram ABCD = AB × AE = 8 × 4 cm2 ... We can also calculate area of shaded portion by using area of..

Answer:

185.25 cm^2

Step-by-step explanation:

since only length is given i considered the wall as square shape. So given :

length = 13.5 cm

area of the wall = l^2

= 13.5^2

=182.25 cm^2

Find the missing side length.

Answers

Answer:

x = 4ft

Step-by-step explanation:

[tex]by \ Pythagoras \ theorem : \\x^2 = 3^2 + 3^2 \\\\x^2 = 9 + 9 = 18\\x = \sqrt{18} = \sqrt{2 \times 3 \times 3} = 3\sqrt{2}\ = 4.24 = 4ft[/tex]

find the difference between the longest and shortest bean sprouts

Please i need ​

Answers

Answer:

7/4 inches

Step-by-step explanation:

Longest bean sprout = 8/8 + 8/8

Longest bean sprout = 1 + 1

Longest bean sprout = 2

Shortest bean sprout = 2/8

Difference = 2 - 2/8

Difference  = (16-2)/8

Difference  = 14/8

Difference = 7/4

Hence the distance is 7/4 inches

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.

110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?

f(n + 1) = f(n) + 20
f(n + 1) = f(n) + 110
f(n + 1) = f(n + 1) + 20
f(n + 1) = f(n + 1) + 110

Answers

Answer:my guess would be A because B and D there was already a start-up salary of 110$, but it could be c, i just wanted to choose the simplest answer choice.

Step-by-step explanation: it just makes sense that it is not B or D

The recursive formula that could be used for measuring the total amount of money is f(n+1) = f(n)+20.

What is a recursive formula?

A recursive is a type of function or expression stating some concept or property of one or more variables, which is specified by a procedure that yields values or instances of that function by repeatedly applying a given relation or routine operation to known values of the function.

Given that,

The electrician earns $110.

And the sequence should be 110, 130, 150, 170, and so on.

Here we assume that f(x) represent pay.

And x be the number of hours worked.

Based on the above information, we can see that there are 20 increments in every next number.

So, the equation should be f(n+1) = f(n)+20

hence, the recursive formula that could be used for measuring the total amount of money is f(n+1) = f(n)+20.

Learn more about recursive formula click;

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What is the product of n(-0.5)(-1.2)(-5.22)?

Answers

Answer:

First multiply the first two terms so (-0.5)(-1.2) = 0.6 as product of two negative numbers is positive number.

Step-by-step explanation:

Im BIg BrAiN :D

Help me with this question please. I’m a bit confuse…

Answers

Answer:

x = 7

Step-by-step explanation:

2x - 3 = x +4

x = 7

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE easdyfhrdfghfchdfchfch

Answers

i believe it is the third option

Which of the following points are in the second quadrant of the xy-plane? Check all that apply. O A. (-4,2) O B. (-7, 6) O C. (4,8) O D. (2,2) O 6 E. (6,-2) O F. (-2,-8)​

Answers

Answer:

a and b bc that are in the negative-positive quad

Match the equivalent expressions.
7x − 8y
11x + y
11x − y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
(5x − 3y) − x + 3x − 5y
5(x + y) + 6(x − y)
3x + 3y + 2(2x − y)
7x + y

arrowBoth

arrowBoth

arrowBoth


arrowBoth

Answers

Answer:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

What is the least common multiple of these two denominators? 3/6 , 2/12


A: 18
B:12
C:6
D:15​

Answers

Step-by-step explanation:

simple

multiples of 6= 1, 2, 3, 6

multiples of 12= 1, 2, 3, 4, 6, 12

.L.C.M of 12 and 6= 12

Help






Math





Will




Give



Brainlist





:))

Answers

Answer:

$156

Step-by-step explanation:

(9600 + 5376 )/ (8 * 12) = 156

Answer:

$156

Step-by-step explanation:

interest for 8 years = $5376

convert 8 years to months

1 year = 12 month

8 years = 8*12

=96 months

monthly

now monthly interest = $5376/96

=$56

now find amount that he has to pay monthly

=$9600/96

=$100

monthly payment with interest = $100 + $56

=$156

find out the shortest distance between the point (3,4) and the line 3x+4y+25=0

Answers

Answer:

Hence, shortest distance is 0

Step-by-step explanation:

4y = -3x+25

y = -3/4x + 25/4

When x = 3,

y = -9/4 + 25/4

y = 4

Hence, when x =3,

Point: (3,4)

Feel free to mark this as brainliest :D

5. You are scheduling your classes for next year. There are 4 required classes: a physical education
class, a history class, an english class, and a math class. You can choose from 5 physical education
classes, 6 history classes, 5 english classes, and 3 math classes. In how many different ways could
you select the 4 required classes?

Answers

Answer:   450

==============================================

Explanation:

For now, let's consider we can only select 2 classes instead of 4. Let's say we only had to worry about PE and history.

Let A,B,C,D,E represent the five PE classes.

Let F,G,H,I,J,K represent the six history classes.

If you arrange the letters in a table, you should get 5*6 = 30 different inner boxes of the table. Refer to the diagram below.

Each two letter code in the table represents the 2 class combo. For example, BG means you picked PE class B and history class G.

This idea can be extend to selecting 3 classes. Imagine that each of the codes in the table are laid along the side of a new table. So we'd have a table of 30 rows. Then lay out 5 columns (say with letters L,M,N,O,P) to represent the 5 English classes. You would get a table of 30*5 = 150 different combos here. Of course you shouldn't actually make such a table since it's so large, but I'm simply just saying for you to imagine one. All of the tables mentioned are completely optional. A tree diagram is another way to organize things, though tree diagrams tend to get cumbersome.

Anyway, we would have 5*6*5 = 30*5 = 150 different ways to pick the PE, history and English classes. We can extend this out to include the math classes as well.

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

In short, all we do is multiply the given values together:

5*6*5*3 = 30*15 = 450

This idea is known as the counting principle.

Select the two values of x that are roots of this equation.
X2 + 2x - 5 = 0

Answers

Answer:

[tex]x=-1+\sqrt{6 }[/tex]

[tex]x=-1-\sqrt{6 }[/tex]

Step-by-step explanation:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

x² + 2x - 5 = 0

a = 1

b = 2

c = - 5

[tex]x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{4+20 } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{24 } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(12) } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(2)(6) } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}[/tex]

[tex]x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}[/tex]

[tex]x=\frac{-2±2\sqrt{6 } }{2}[/tex]

Two separate equations

[tex]x=\frac{-2+2\sqrt{6 } }{2}[/tex]

[tex]x=\frac{-2-2\sqrt{6 } }{2}[/tex]

[tex]x=-1+\sqrt{6 }[/tex]

[tex]x=-1-\sqrt{6 }[/tex]


What is the result of 54,000 X 1,200 written in scientific notations

Answers

Answer:

[tex]54000 \times 1200 = 64800000 = 6.48 \times 10^{7}[/tex]

The result of 54,000 × 1,200 in scientific notation is written as [tex]6.48[/tex] ×[tex]10^{7}[/tex].

What is scientific notation ?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

According to the question

We have , 54,000×1,200

Therefore,

The the result 54,000× 1,200 in scientific notation is given by

54,000 × 1,200

= 64,800,000

= [tex]648[/tex] × [tex]10^{5}[/tex]

= [tex]6.48[/tex] × [tex]10^{7}[/tex]

Hence, the result of 54,000×1,200 in scientific notation is written as [tex]6.48[/tex]×[tex]10^{7}[/tex].

Learn more about scientific notation here:

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Please help 7th grade math

Answers

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Select the best answer for the question.
14. Reduce 24/40 to its lowest terms.
O A. 3/5
O B.2/5
O C. '420
O D. 4/5

Answers

The answer is D - 4/5
The answer is A) 3/5

Is n = 3.5 a solution for the equation 2n = 70 ? Show your work with substitution, and explain your response.

Answers

Answer:

n=35

Step-by-step explanation:

2n=70

n=70/2

n=35

Find the distance between each pair points

Answers

Message me the calculations

PLZ HELP WILL MARK BRAINLIEST TO THE QUICKEST CORRECT ANSWER!
Describe how to translate the graph of y=√x to obtain the graph of .y=√x+20

(the 20 is also under the sqrt symbol, so x+20 square rooted)


shift left 20 units

shift down 20 units

shift right 20 units

shift up 20 units

Answers

Answer:

Step-by-step explanation:

the answer is the first one -> shift left 20 units, see the graph in the image

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