Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.

Answers

Answer 1

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer 2

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular


Related Questions

Consider a right triangle ABC where ZC is
the right angle. If sin A = 3/5 and cos A =4/5,
what is cos B?

Answers

Answer:

3/5

Step-by-step explanation:

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

300π

Step-by-step explanation:

The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²

The spinner below is spun. Find the probability,
P(D greater than 1)
What is the numerator for the probability?
What is the denominator for the probability?

Answers

Answer:

5 - numerator

6 - denominator

can someone pls help me
write 3lgx + 2-lgy as a single logarithm​

Answers

Answer:

log(x^3*y^(-2))

Step-by-step explanation:

two log rules you need to know for this question:

alogb = log(a^b)

logx + logy = logxy

you can start by getting rid of the term in front of the log, or a

also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely

log (x^3) + log (y^-2) = log (x^3*y^-2)

NEEd HELp ASAP AlGEBRA 1

Answers

Answer:

Step-by-step explanation:

Please answer the pictures provided

Answers

Answer:

-6-3

Step-by-step explanation:

survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.​

Answers

Answer:

ll and lll

Step-by-step explanation:

I need help I can’t understand having the answer is going to help a lot

Answers

Answer:

Step-by-step explanation:

35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4

Jasmine correctly answered 9 out of 10 of the game questions. What percent did she answer correctly.

Answers

90 percent because 9/10= .9, which is 90 percent when converted to a percent

hi please help i’ll give brainly but please show your work.

Answers

Answer:0.028

Step-by-step explanation: 0.07 x 0.4= 0.028

0.028 is the answer! Hope this helps you!

Which situations can be represented by an exponential function?

Select each correct answer.




Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

In a structure made of bricks, each row has 10 more bricks than the previous row.

The value of a vehicle decreases by 11% each year.

A dentist's office accepts 15 new patients each month.

Answers

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

Mrs. Norton wants to buy health insurance for her family, Plan A costs $620.50 per month. Plan B costs $597.20 per month. How much will she save in 12 months by choosing Plan B instead of

Plan A?

A $7,446.00

B $7,166.40

C $320.60

D $279.60

Answers

Answer:

Step-by-step explanation:

620.50 * 12 = 7,446

597.20 * 12 = 7,116.4

7446 - 7116.4 = 329.6

PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R

Answers

Answer:

in what sentence all i see is the letters no image above

In solving quadratic equation, if the constant term is missing what is the best method to
use?

Answers

Step-by-step explanation:

If you are looking for its roots, try completing the square method, and factoring out the common terms. These two is what I usually use.

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

3% of $750 is $22.50 so the answer is $772.50.

Answer:

$806.25  i *think*

Step-by-step explanation:

3% of 750 is 22.5 so add that every year

Year 1 : 750 + 22.50 = 772.50

Year 2 : 772.50 + 22.50 = 795.00

Year 2.5 : 795.00 + 11.25 = 820.50

Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5

Answers

Answer:

2*12x-5

Step-by-step explanation:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.

Is (9, 0) a solution to the equation y = 9? yes no​

Answers

Answer:

I'm going to say no

Step-by-step explanation:

Because y in the pair y is zero not 9.

can someone properly explain the multiplier method I need help for revision

Answers

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

I really need help really fast!!!

Answers

Answer:

-3 sqrt 2 or -4.242640687

Step-by-step explanation:

the scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft

Answers

Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?

Answers

Answer: D

Step-by-step explanation: correct on edg 2021

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Adrianna is two years older than Fernando, while Lucy is triple Fernando's age. If the sum of their ages is eighty-two, how old is Adrianna?

HELPPPP MEEEEE!!!!!!

Answers

27 i think lol :) x byeeeee

Answer:

18

Step-by-step explanation:

x + (2+x)+ (3x) =82

x+x+3x= 82-2

5x=80

x= 16

Fernando is 16

Adrianna is 2 years older so she is 18

And Lucy is 3x 16=48

together 82

What is the LCM of 10 and 12?

Answers

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.

Answers

Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

M(4,2) is the midpoint of AB and A(-5, -3).

[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]4=\dfrac{-5+a}{2}[/tex]

[tex]8=-5+a[/tex]

[tex]8+5=a[/tex]

[tex]13=a[/tex]

And,

[tex]2=\dfrac{-3+b}{2}[/tex]

[tex]4=-3+b[/tex]

[tex]4+3=b[/tex]

[tex]7=b[/tex]

Therefore, the coordinates of point B are (13,7).

Select the correct answer.
What is the simplified form of V45?
OA. 15
OB. 19.5
O c. 35
OD. 53

Answers

Answer:

C. 3√5

Step-by-step explanation:

45 = 3 × 3 × 5 considering this the answer is C

Answer:

c

Step-by-step explanation:

Which equation represents how much it would cost for any number of rides? * 1 point r = 1.50c c = r - 1.50 r = 1.50 + c c = 1.50r

Answers

C=1.50r would be the correct answer

Need help with math question 8th grade math

Answers

Answer:

Step-by-step explanation:

I am also in 8th grade, anyways

x reprsents = 30 nickles

y represents = $1.02.

I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!

Answer:

Step-by-step explanation:

x reprsents = 30 nickles

y represents = $1.02.

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