What is the value of a, if the graphs of 3y + x = 0 and 4y + ax + 3 = 0 are to meet at a right angle?

Answers

Answer 1

Answer:

a = -12

Step-by-step explanation:

For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.

The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).

The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)

Since the product of the slopes is -1, we can set up an equation now.

-1/3 * -a/4 = -1

a/12 = -1

a = -12


Related Questions

The temperature dropped from 23°C to -16°C.
By how many degrees did the temperature drop?

Answers

The temperature drops when the temperature goes down from 23°C to -16°C is 39°C.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

The temperature dropped from 23°C to -16°C.

Then the drop in temperature will be

Temperature drop = 23 - (-16)

Temperature drop = 23 + 16

Temperature drop = 39 °C

More about the subtraction link is given below.

https://brainly.com/question/4319655

#SPJ2

The graph shows f(x) and its transformationg (x)
Which equation correctly modelsg (x)?
g(x) = 3^x-7 – 2
g (x) = 3^x+7 - 2
g(x) = 3^x+2 - 7
g(x) = 3^x-2-7

Answers

Answer:

[tex]g(x) = {3}^{x - 2} - 7[/tex]

Step-by-step explanation:

As we can see, the graph of transformation of f(x) is translated to the right and down.

then, g(x) = f(x - a) - b, where a & b > 0.

from the options, there are 4 translated function of f(x).

but on the second option

[tex] {3}^{x + 7} - 2 = {3}^{x - ( - 7)} - 2[/tex]

a < 0, then it's not the answer we need, same as third option that makes only first and fourth left.

from the picture, horizontal asymptote of f(x) is y = 0.

on g(x) horizontal asymptote is y = -b, where -10 < -b < -5.

and from the options that are left, we can see only fourth option that satisfies what we need.

What is 200 % of 9000

Answers

Answer:

It is 18000 i hope it is helpful have a nice day

q=25πh how do I solve it​

Answers

Answer: ok the answer is 42

Step-by-step explanation: so q = 17 right? and 25 = Y

so i think you add then you get 42...right? i might not get the right answer

but what letter is this i don't know this symbol or lettter: π

Identify any x-intercepts for the graph below .

Answers

The answer would be X=-4 x=4 because this is where the lines cross the x axis

It takes 2 minutes to print 3 photos. AT this rate, how long does it take to print 10 photos?

Answers

Answer:

Step-by-step explanation:

1 photo = 40 seconds.

40(10)=400

400/60

it would be about 6 mins and 36 seconds

Over what interval is the function nonlinear?

Answers

Answer:

Step-by-step explanation:

3rd one

The perimeter of a triangle is 21. The smallest side is 3. The 2nd side is twice the smallest side. The 3rd side is 6 more than the 2nd side. Write an equation to solve for the perimeter. Then find the ____ and ____.

Fill in the blanks.

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the smallest side is 3 and that the 2nd side is twice the smallest side. This means that the second side will be:

= 3 × 2 = 6

The 3rd side is 6 more than the 2nd side. The 3rd side will be:

= 6 + 6 = 12

The perimeter of a triangle is the addition of its sides. Therefore, the perimeter is:

= 3 + 6 + 12

= 21

The sides are:

1st side = 3

2nd side = 6

3rd side = 12.

PLEASE HELP MEEEE UGH on 5

Answers

Answer:We have been given that a rectangle has a height to width ratio of 3:4.5.

Let h be height and w be width of rectangle.

We can set our given information in an equation as:

Now we will substitute h=1 in this equation.

We can see that width of rectangle is 1.5 times height of rectangle.

Our one set of dimensions of rectangle will be: height=1 and width=1.5.

We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.

Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.  

Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.

Step-by-step explanation:

Answer:

1.5 2 2.5

Step-by-step explanation:

brainliest please

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.93 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

The total cost of the meal is $
I searched this on brainly and the answer was wrong. The correct answer is actually 82.88! Thank me later :)

Answers

Answer:

The answer is $82.88.

Step-by-step explanation:

Too complicated. Will do explanation later.

Answer: You're correct :3

Step-by-step explanation:

15% of 78.93 ≈ 11.84

78.93 - 11.84 = 67.09

20% of 78.93 ≈ 15.79

67.09 + 15.79 = 82.88

You're correct!

Thanks for the free points btw. :p

Identify the y-intercept of the function represented
by the following table:

Answers

Answer:

-3

Step-by-step explanation:

the slope is 2 so add 2 to -5 (because its only one number lower than 0) and you get your answer

Simply please will give brainlist to first right answer

Answers

Answer:

12-14i

Step-by-step explanation:

[tex](-1-3i)(3+5i)\\\\=-1(3)-1(5i)-3i(3)-3i(5i)\\\\=-3-5i-9i-15i^2\\\\= -3-14i-15i^2\\\\[/tex]

here we know that i^2=-1

[tex]=-3-14i-15(-1)\\\\=-3-14i+15\\\\=12-14i[/tex]

The unit rate for 156$ for 3 books is $___ per book

Answers

An

$52

Step bro

suck it

Answer:

52$

Step-by-step explanation:

Divide for the unit price of 1 book.

You get $52

- 3 1/3 = - 1/2g. Show work plz

Answers

Answer:

Points

Step-by-step explanation:

Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1?

Answers

Answer:

No

Step-by-step explanation:

I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)

A hardware store manager reviews data that shows how well a new product is selling over an 8-week period. The data can be modeled by the equation y = - 13.9x + 103 , where x represents time in weeks and y represents the number of units of the product left in stock. what does-13.9 represent

Answers

Answer:

-13.9 represents the slope

It is the number of units of the product left in stock per week

The negative value shows it decreases per week

Step-by-step explanation:

Here, we want to state what the value -13.9 represents

Generally, the equation of a straight line can be represented by the equation

y = mx + c

where m is the slope

In this case, -13.9 represents the slope of the model

The slope is calculated by dividing a change in y by a change in x

With respect to the question, the slope here represents number of units of the product left in stock per week

please answer, I need help asap, thanks :p​

Answers

answer:
angle A: most likely 20 degrees
angle B: most likely 100 degrees


explanation:
a full circle is 360 degrees.
the angle on the bottom left-hand corner is most obviously a 90 degree angle.
the angle on the right hand corner labeled “75 degrees” is the same as the angle in the top left hand corner, as they are mirrored. this means:

360-90-75-75=120

there is 120 degrees left for the two values that we are looking for. since B is an obtuse angle, I would say that angle B is most likely 100 degrees and the smaller angle (angle A) would be 20 degrees.

hope this helps you!

xoxo

Answer:

Angle A = 15

Angle B: 105

Step-by-step explanation:

Angle A and 75° add up to 90°

75 + x = 90

x = 90 - 75

x = 15

Angle B and 75° add up to 180°

75 + x = 180

x = 180 - 75

x = 105

what is the square root of 144

Answers

Answer:

12

Step-by-step explanation:

12 x 12 = 144

Answer:

12

Step-by-step explanation:

[tex]\sqrt{144}[/tex]=12

Ameron works for a car dealership and earns a monthly salary plus a commission for every car he sells.(8.5B) Which equation could be used to find Cameron's total monthly income, M, after selling n cars? M = 500n + 1750 M = 1750n + 2250 M = 1750n + 500 M = 2250n

Answers

Answer:

Equation used to calculate monthly income of Ameron is: M = 1750+500n

Step-by-step explanation:

From the question it is give that :

monthly salary of Ameron is 1750 and commission for every car he sells is 500

let n be the Number of car he sells then its total income M of the month is

M = 1750 + 500n

Therefore correct option is (a) i.e., M = 1750+500n

Example 3
L1 and 22 form a linear pair. If m_1 = 4 m22, find the measure of each of the two angles.

Answers

Answer:

We conclude that

The angle ∠1 = x = 36°The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

Given

<1 and <2 form a linear pair

m∠1 = 4m∠2

To determine

Find the measure of each of the two angles.

Important Points about linear pair:

We know that when two lines meet or intersect, we get a linear pair of angles.Linear pairs are basically two adjacent angles that form a line.The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

As

<1 and <2 form a linear pair

m∠1 = 4m∠2

In other words, angle 1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

[tex]x + 4x = 180[/tex]

[tex]5x = 180[/tex]

divide both sides by 5

[tex]\frac{5x}{5}\:=\:\frac{180}{5}[/tex]

[tex]\:x=36^{\circ }[/tex]

Thus, we conclude that

The angle ∠1 = x = 36°The angle ∠2 = 4x = 4(36°) = 144°

6 xy × 4 = 2 x72 please koi solutions do​

Answers

Answer:

y = 6

Step-by-step explanation:

6 * y * 4 = 2 * 72

y = 2 * 72/24 = 6

6xy × 4 = 2 × 72

or, 6xy = 2 × 72/4

or, 6xy = 36

or, xy = 6

6 = 3 × 2 × 1

Hence, x = 3 and y = 2

or, x = 2 and y = 3

or, x = 6 and y = 1

or, x = 1 and y = 6

What do 5a represent in f(x)=5ax​

Answers

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

5a represent a slope in f(x)

A promoter buys advertising in units of $30,000 each. If he buys two units of broadcast TV, one unit of cable TV, and two units of radio, how much does he spend in advertising?

Answers

Answer:

$150,000

Step-by-step explanation:

The first step is to calculate the total number of units

= 2 +1 +2

= 5

If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows

= 30,000 × 5

= 150,000

Hence the promoter spends $150,000 on advertising

what is the sum of the sequence 2+5+8+11+...+296

Answers

From the top of my head it is 322

Mrs. Goerlich deposited $2,000 into a savings account to save for her son's college tuition. • The account earns simple interest. • She did not make any additional deposits or withdrawals. • At the end of 6 years, the account has a balance of $2,780. What is the annual interest rate on this account?

Answers

Answer: 6.5%

Step-by-step explanation:

In 6 years the interest earned is:

= 2,780 - 2,000

= $780

The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:

= 780/6

= $130

Simple interest rate = Interest payment/ Deposit

= 130/2,000

= 6.5%

(1+2/3) / x = (2+7/9)

Answers

Answer:

x=45/75

Step-by-step explanation:

(1+2/3)/x= 2+7/9

5/3x=25/9

5*9= 3x*25

45=75x

x= 45/75 orx=0.6

Problem
1
+ 10x + 13 = 4

Answers

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

Equation: [tex]1+10x+13=4[/tex]

Step 1: Balance both parts of the equation.

[tex]1+10x+13=4[/tex]

[tex](10x)+(1+13)=4[/tex]

[tex]10x+14=4[/tex]

[tex]10x+14=4[/tex]

Step 2: Reduce 14 from both parts of the equation.

[tex]10x+14-14=4-14[/tex]

[tex]10x= -10[/tex]

Step 3: Split both sides by 10, because [tex]\mathrn {10x = -10}[/tex].

[tex]\frac{10x}{10} = \frac{-10}{10}[/tex]

[tex]10 / -10 = -1[/tex]

Therefore, x = -1.

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

a- 40

b- 15

c- 2.5

Step-by-step explanation:

ratio of pounds to kilograms is

22 pounds: 10 kilograms

filo- 88 pounds

88 pounds: ? kilograms

22 times 4 is 88

so times 4 on both sides

22 pounds: 10 kilograms

88 pounds: 40 kilograms

same thing with spot and bella

spot- 33

22: 10

/2    /2

11: 5

*3   *3

33 pounds: 15 kilograms

bella- 5.5

22 pounds: 10 kilograms

/4                  /4

5.5 pounds: 2.5 kilograms

Please help me answer I will give 13 points thanks

Answers

Answer:

y=85x

Step-by-step explanation:

Which question can be answered using the expression 1/3 Divided By 3/4

Answers

Answer:

0.4

Step-by-step explanation:

The question that can be answered using the expression can be 1/3 of the total apple pie is divided in to 3/4 parts.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 1/3 ÷ 3/4.

Here the operation is division.

So 1/3 of something is divided in to 3/4 parts.

Let a total amount of something be 1/3 units.

Suppose you have to divide it into 3/4 parts.

Then this expression can be used.

Let the total amount of apple pie left is 1/3 part of the total.

You have to divide t into 3/4 parts.

Hence the word problem can be 1/3 of the total apple pie is divided in to 3/4 parts.

Learn more about expressions here :

https://brainly.com/question/13015660

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