Determine the equation of the line perpendicular to the line 4x+2y-7=0 that has the same x-intercept as the line 2x+3y-12=0

Answers

Answer 1
Let’s first make a blank equation in slope-intercept form: y=mx+b

To find the slope, we find the perpendicular slope to 4x+2y-7=0. First, change this to slope-intercept form:

4x+2y=7
2y=7-4x
y=-2x+(7/2)

The slope of this line is -2, so the perpendicular slope will be the opposite inverse, or 1/2. This is the first component.

Second, to find the x-intercept of 2x+3y-12=0, we have to set y=0 and solve:

2x+3(0)=12
2x=12
x=6 or (6,0)

So in total, we need a line with a slope of 1/2 passing through (6,0). Plug this back into y=mx+b:

0=1/2(6)+b
0=3+b
b=-3

So in total, the equation is y=(1/2)x-3.

Related Questions

687.68 divided by 0.7

Answers

Answer:

784.14

Step-by-step explanation:

Answer:

982.4

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

A youth organization decided to go to the movies,
Adult tickets cost $7.00 each, and youth tickets cost $5.00 each. If four
adults purchased tickets, and the total bill cost of the outing was $118.00,
how many youth attended went to the movies?

Answers

Answer:

7x + 5y = C

Step-by-step explanation:

Answer:

18 children

Step-by-step explanation:

4x$7=$28

$118-$28=90

90 divided by $5

18

Please help. I’ll give brainliest

Answers

Answer:116.886

Step-by-step explanation:multiply all the sides then devide by 1/2

Answer:

15.312

Step-by-step explanation:

Which set of numbers forms a right triangle?
A. 3,4,5
B. 5, 9, 13
C. 7, 7, 12
D. 8, 15, 20

Answers

Answer:

C

Step-by-step explanation:

If you think about it hard enough, and look at it real hard, you can see. Think of like a capital L. 7 tall and 7 wide. I'm not sure but thats what I think.

5х2 – 5х
Combine like terms

Answers

Answer:

if the x in the first number is a multiplication sign, then heres the answer:

10 - 5x

Step-by-step explanation:

Determine the intercepts of the line x-intercept

Answers

Answer:

I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5

I’m sorry if I keep asking question im not smart but what the answer to both of them thank you

Answers

The first one is 0 and the second one is 44

The weight of a baby dog on day one is 5 kilograms. Every day, the dog grows an additional 0.1 kilograms. How heavy the dog is after 10 days?​

Answers

i honestly think the answer is 6 pounds

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The weight of the dog after 10 days is 5.9 kg.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Weight of the baby on day one = 5 kg

This can be written as,

1 day = 5 kg

The dog grows 0.1 kg each day.

This means,

On the 2nd day, we get,

2 days = 5 + 0.1

2 days = 5.1 kg

The expression for the weight of the dog on n days can be written as,

n days = 5 + (n -1) x 0.1 _____(1)

Now,

After 10 days we get,

n = 10

From (1) we get,

10 days = 5 + (10 - 1) x 0.1

10 days = 5 + 9 x 0.1

10 days = 5 + 0.9

10 days = 5.9 kg

Thus,

The weight of the dog after 10 days is 5.9 kg.

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need help plz help me

Answers

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27

Answers


8x + 3y = 45 * -2
2x + 3y = 27 * 8

-16x - 6y = 90
16x + 24y = 216

24y = 216
y = 216/24
y = 9


8x + 3y = 45
8x + 3(9) = 45

8x + 27 = 45
8x = 45 - 27
8x = 18
x = 18/8
x = 2.25


x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

What are linear equations?

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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at the drive in it cost 5 dollars per vehicle plus 2 dollars per person in the vehicle construct an equations from this information

Answers

Answer:

5v+2d

Step-by-step explanation:

Hope I helped

Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6

Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5

Answers

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

What is asymptote?

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

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Find the slope of the line that passes through the points (1,-4) and (3,-1).

Answers

the answer is right here

Answer:

(2,3)

Step-by-step explanation:

you go up 3 and forward 2 so it would be positive positive.

How big is it? I need to know like fr

Answers

Answer:

10 in

Step-by-step explanation:

Answer:

i got a 6 inch it ain't that small

Which type of function is shown in the table below.

Answers

Answer:

it is a not a function

Step-by-step explanation:

if you times 51 that's a hundred

The Earth is 1.496 × 108 km from the Sun. Express this number in standard form.

Answers

Answer:

161.568

Step-by-step explanation:

use a calculator just multiply

Answer:

Step-by-step explanation:

the standard form is

1.496 × 10^8=149,600,000 km

hello My name es Liliana y arigato bye​

Answers

Answer:

?????.... hii erica herrrr

Answer:

Hi Liliana i love your name! it's very pretty:) my name is Melody

Step-by-step explanation:

Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 360 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
50 points to who ever answer it corectly

Answers

Answer:

15 cm on the map

Step-by-step explanation:

360/120=3

5*3=15

hope this helps :)

What is the value of j?

___°​

Answers

34 degrees.

If you want to find how much an angle is, first check the original line (aka base). Then (only if the line is a 180 degree line) subtract whatever value is shown (in this case it was 146 degrees so what you would do is subtract 146 from 180 and you would have your answer).

Hope this helps.

-Northstar

A bank loans a customer $75,000 for a period of 12 years. The simple interest rate of the loan is 8.2%. What is the total (loan plus interest) amount that the customer will need to pay the bank over the 12 years?

Answers

If $1000 is invested now with simple interest of 8% per year. ... Find the total amount on deposit at the end of 4 years if the interest is: ... e) compounded monthly, n =12: A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44 ... When a bank offers you an annual interest rate of 6% compounded continuously,

The amount of rainfall during one week is shown in the graph below. The rainfall is measured in centimeters and the time is measured in days. Each interval from 0 to 1 on the x-axis represents the 24-hour period for day 1, the interval from 1 to 2 represents the 24-hour period for day 2, etc. Choose the correct statement from the choices below.

Answers

Answer: C: It did not rain on 3 days; it did rain on 4 days

The solution to the equation of graph is it did not rain on 3 days ; it did rain on 3 days

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the equation of graph be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The graph is rising on 0 to 1 , 2 to 4 and 5 to 6

The graph is a straight line from 1 to 2 , 4 to 5 and 6 to 7

So , the graph is rising represents the rain was there for 3 days

And , when the graph is a straight line , the rainfall was absent

Hence , the graph represents it did not rain on 3 days ; it did rain on 3 days

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What is the missing lenght of X and Y?

Answers

Answer:

D. x = 2, y = 2

The ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks. What is the ratio of trucks to cars? 3:10 3:7 7:3 7:10

Answers

Answer: 7:3

Step-by-step explanation:

From the question, we are given the information that the ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks.

The ratio of trucks to cars will simply be the reverse of the ratio given. This will be: = 7:3

Answer:

7:3

Step-by-step explanation:

it says what is the ratio of truck to cars so how many trucks are there? 7 trucks . and how many cars are there? 3 cars so it is 7:3 because there are 7 trucks and 3 cars so you put both of them together there is your answer. Ratio's are very easy.

pls dont say random stuff to get points

Answers

Answer:

C) 3 1/4

Step-by-step explanation:

round off 599 to 2 significant figure ​

Answers

Answer:
600

Explanation:
The first 9 has to be rounded up to a 0 and the 5 becomes a 6

Answer:

6.0 × 10⁰

Step-by-step explanation:

599 has 3 significant figures

Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.

Answers

Ndnsnkskaoaoamdmsksakaopssppskdkxm

Solve the system.... 2y+8x+58 and y-5x=11

Answers

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

which of the following numbers is irrational

Answers

Answer:

E

Step-by-step explanation:

Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.

√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.

Explain how ribosomes, endoplasmic reticulum, transport vesicles, and the Golgi interact to enable cellular secretion:​

Answers

Answer) The endoplasmic reticulum takes the proteins that are made by the ribosomes and folds them into sacs that are called cisternae. It then transports these folded proteins to the Golgi apparatus. The Golgi apparatus is a series of membranes that look like flattened pancakes

I hope it is helpful

14 1/8 subtract 9 5/6

Answers

Answer:4.29

Step-by-step explanation:

Answer:

13.125

Step-by-step explanation:

14 x 1/8 and 9 x 5/6

2 x 7 x 1/8 x 9 x 5/62 x 7 x 1/ 2 x4 x 9 x 5/67 x 1/4 x 9 x 5/6 7 x 1/4 x 3 x 3 x 5/67 x 1/4 x 3 x 3 x 5  3 x 27 x 1/4 x 3 x 5/2 7 x 1 /4 x 3 x 5/27 x 1 / 4 x 3 x 5 / 27 x 1 x 3 x 5 / 4 x 2105/ 4 x 2105/8 = 13.125

I know its a lot but hope this helps btw these are supposed to be over each other but i couldn't find a way to do that so yea but hope this is right

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