Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y = 19

Answers

Answer 1

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1


Related Questions

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, while profits increased
$7.5 million per year. Select the correct graph of this function

Answers

Answer:

Step-by-step explanation:

The answer is: There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

hope this help and srry if wrong

f(x)=x^2. What is g(x)?

A. g(x) = x^2

B. g(x)=-2x^2

C. g(x)=x^2 - 2

D. g(x)=-x^2 - 2​

Answers

Answer:

B

Step-by-step explanation:

TRUST.

if im wrong im really sorry

i would have failed you

i would feel guilty

and I would forget about it in like 5 minutes

Is this adjacent vertical or linear can someone plz tell me the answer

Answers

Answer:

vertical

Step-by-step explanation:

its going straight up

Help me with this math problem please:):)

Answers

I believe it is 15 I am using trigonometry but I’m not 100% sure

I need to know what the answers are and show work. Please help me! And thank you!

Answers

Answer:

x=29

∠C=93°

Step-by-step explanation:

180°-52°-35°=3(x+2)°

180°-87°=(3x)°+6°

93°=(3x)°+6°

(3x)°=87°

x=[tex]\frac{87}{3}[/tex]

x=29

∠C=3(x+2)°

=3(29+2)°

=3(31)°

=93°

Classify this triangle by its sides and angles.

Answers

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

Acute + Equilateral

I will give you BRAINLIEST for the correct answer

Answers

Answer:

126

AS:

If these cubes are to to be placed so that their respective faces are parallel

or perpendicular, as the case may be, to the respective orientations of the

dimensions of the box, without tilting any cubes in any directions,

then choice B) can be justified. This leaves spaces (some volume) in the box

not filled by the cubes.

How many whole number of edges of the cubes fit into 4 cm?  

4 / 3 √ 2   must be rounded down to 3.

How many whole number of edges of the cubes fit into 8 cm?  

8 / 3 √ 2   must be rounded down to 6.

How many whole number of edges of the cubes fit into 10 cm?  

10 / 3 √ 2   must be rounded down to 7.

Then (3)(6)(7) = 126

Plz someone answer this for me asap !
Find the perimeter of each shape

Equation :
X:
Perimeter:

Answers

Answer:

The equation is;

4(2.5x-3) = 3(2x-2)

The value of x is 1.5

Step-by-step explanation:

Mathematically, the perimeter of a square is simply the product of the length of the side and 4

Secondly, the perimeter of an equilateral lateral triangle is the product of the length of its side and 3

Thus, mathematically, we have it that;

4(2.5x-3) = 3(2x-2)

10x - 12 = 6x -6

10x -6x = -6 + 12

4x = 6

x = 6/4

x = 1.5

1.26 - 0.06 (2 marks)​

Answers

Answer:

1.2

Step-by-step explanation:

So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.

hope this helps :)

Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?

A. -7
B. -3.6
C. -4.6
D. -5

Answers

The answer for this is -3.6 you need to add them together then subtract!

Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)

Answers

Answer:

3,850

Step-by-step explanation:

have a good day!!

What is the square root of 6 - the square root of 12?

Please answer fast!

Answers

Answer:

1.01 or 1.0

Step-by-step explanation:

Square root of 6=6x6=36
Square roor of 12=12x12=144

The American Water Works Association reports that the per capita water use in a single-family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average

Answers

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answers

Answer:

There is no circle

Step-by-step explanation:

If you post the circle, I will help

Make sure to attach a file of the photo (Please no links)

Geometry Transversals simple answer needed

Answers

Answer:

C) 70

Step-by-step explanation:

m<1 = m<3 because of vertical angles

Since <3 = 70,

<1 also equals 70

See image for question and answer choices

Answers

Answer:

B.

Step-by-step explanation:

So, lets remember a few things first.

#1: The formula for finding the answer is A^2+B^2=C^2

#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.

Now lets plug in what we already know, and see if we canf igure out the annswer:

A^2+12^2=13^2

Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.

If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:

Ok, not  too bad, the A is the unkown value, which is the opposite side.

Now, how do we figure this out? Well, we just need to sovle for A.

To do this, lets clean up our equation by first sqauring all the values(except for the unkown):

A^2+144=169

Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.

This will now look like:

A^2=25(169-144=25)

Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.

([tex]\sqrt{A^2}=A[/tex])=([tex]\sqrt{25}=5[/tex])

A=5

This is your answer.

help plz :<<<<<<<<<<<<

Answers

Answer:

can you make the question more clear please

Helpppppppppppppppppppppp

Answers

Answer:

8.04 units

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]

For Problems 1-3, use the grid to the right.

1. What is the sum of column A?

2. What is the product of column B?

What is the product of column C?

Answers

Answer:

1. -5

2. -24

3. 0

Step-by-step explanation:

Sum means addition.

Product means multiplication.

A negative times a negative will give you a positive.

Anything times zero is zero.

1. -2 + 5 + (-8) = -5

2. -1 * -4 * -6 = -24

3. 10 * 0 *-9 = 0

If a standard die is rolled twice, what is the probability that it lands on a number greater than 4 both times?

Answers

Answer:

1/3 i believe

Step-by-step explanation:

Use the net to find the surface area of the regular pyramid.

Answers

Answer:

40 in²

Step-by-step explanation:

There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².

4(base) x 3(height) ÷ 2 = 6

Multiply 6 by 4 because there are four triangles, which is 24.

Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.

4 x 4 = 16

If you add 16 and 24 together, that's your answer.

Answer:

40

(its right i did this)

Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?

Answers

Answer:2 feet i think?

Step-by-step explanation:

sorry need points

Please answer correctly! I will mark you as Brainliest

Answers

Answer:

33,333 ft^3

Step-by-step explanation:

A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3

HELP ME PLEASE I'll give brainless.

Answers

Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

PLZ help me on this ASAP which one is it??? Its due in a couple of mins :(((

Answers

Answer:

answer two solution

Step-by-step explanation:

i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6​

Answers

Answer: i think its alternate interior

8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours

Answers

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

multiple choice pls help!
(Links = report )

Answers

Answer:

120 in² hope it helped lol

which of these is the BEST theme for this poem?

Answers

Answer:

the answer is if we don't act the beauty of nature may disappear

Step-by-step explanation:

This is so because nature is fragile and needs to be taken care of properly thus this poem portrays various ways we are endangering nature and it's beautiful aesthetic features

Plz help me!!!
Philip rolls a standard number cube
24 times. Which is the best prediction for
the number of times he will roll a number
that is even and less than 4?
A 2
B 3
C 4
D 6

Answers

Answer:

i guess the correct answer is A. 2

Other Questions
How many atoms are in 57.5 liters of xenon gas at STP Parallel lines G and H are shown in one grid and parallel lines K and J are shown on the other gridplease help Select the correct answer from each drop-down menu. David is a research scientist who is giving a lecture to a class of students on how life began on earth. Help him complete the sentences. Scientist have found 1) ________ containing fossilize cyanobacteria (blue-green algae). They show that life has been present on the earth from early ages. Oparin and Haldane were two scientists who hypothesized that life needed reducing environments initially to appear. The ocean in the early ages was 2) _________ (devoid of oxygen) and acidic. ANSWER OPTIONS: 1) A) shells B) stromatolites C) rocks 2) A) anoxic B) toxic C) pyrexic Need help on iready you get 13 points :) A no-frills account often has no fees.A. TrueB. False Sentence Arrange s Put the steps of DNA replication in order by writing a number in the space before each statement. Two new molecules of DNA are created._____ DNA polymerase attach the free-floating nucleotides to the exposed nitrogen bases._____Helicase begins to break the hydrogen bonds between nitrogen bases._____ Cell starts into the mitosis phase of the cell cycle._____ Free floating nucleotides pair up with exposed nitrogen bases._____Complete the statement guanine, cytosine, and thymine are the four nitrogen bases._____In DNA, always forms hydrogen bonds with guanine._____The sequence of carries the genetic information of an organism_____The process of produces a new copy of an organism's genetic information._____The double coiled shape of DNA is called a_____ What is the theme of often a minute and maus 1? plis help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! The following passage in Annes second diary entry mainly shows that fill in the blank_________. It seems like years since Sunday morning. So much has happened its as if the whole world had suddenly turned upside down. But as you can see, Kitty, Im still alive, and thats the main thing, Father says. Im alive all right, but dont ask where or how. You probably dont understand a word Im saying today, so Ill begin by telling you what happened Sunday afternoon. Answer choices for the above question A. She is under the delusion that several years have passed in a matter of days. B. She cant remember how she managed to stay alive. C. She thinks she is too scared for her writing to make much sense. D. She knows events so extreme have taken place that she must completely re-orient her writing Why do you think Dolores Huerta is a leader? The vertex of a parabola is at the origin, and its focus is at . Which function does the graph with these attributes represent?A. B. C. D. What is the slope of the line shown below?10A. 6(-0,3) 6B.1016cD. 6101 Find a synonym for the following word: embellish.Help! Worth 20pts the fastest 3 runners in a race qualify for the next event. how many different groups of Runners could advance to the next event from a race that has seven runners A 10cm3 sample of copper has a density of 897g/cm3. What is the mass of the sample? What is the length,in meters,of VX? PLEASE HELP i need help please! will mark brainliest I have 48 candys for 50cents each, how much total will I have after I sell all 48 candies? Classify the triangle as acute, right, or obtuse.487260A acuteBrightC obtuse