Mathematics High School

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

The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?

Answers

Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]

[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]

Equating it with

[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]

[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]

[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]

[tex] r = \sqrt{0 +9} [/tex]

[tex] r = \sqrt{9} [/tex]

[tex] r = 3\: units [/tex]



1
Aaron participated in a 45-mile bikeathon to raise money for his favorite charity. The table shows Aaron's times at the beginning and end of the ride.
(a)
Time (hours)
o
Distance (kilometers)
0
3.6
45
Part A
What is Aaron's average biking speed in kilometers per hour?
kilometers per hour
APR
Ok

Answers

The answer is 12.5 km/hr

45/3.6=12.5

HELPP ITS DUE IN 10 MINUTES!!!!!

Answers

Answer:

a is less than or equal to 35 since 35 is the highest value that can be gotten

Find the surface area

PLEASE HELP! will mark brainiest

Thank you :)

Answers

Answer:

12796 cm²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is the length, w is the width and h is the height

Plug in 42 as l, 35 as w and 64 as h

[tex]SA=2(42*35+42*64+35*64)\\SA=2(1470+2688+2240)\\SA=2(6398)\\SA=12796[/tex]

Therefore, the surface area of the figure is 12796 cm².

I hope this helps!

Answer:

Solution :-

TSA = 2(lb + bh + lh)

TSA = 2(64 × 42 + 42 × 35 + 64 × 35)

TSA = 2(6398)

TSA = 12796 cu. cm

[tex] \\ [/tex]

Which of the following place values would be found to the right of 1?

Answers

Answer:

1

Step-by-step explanation:

how do i do this?....... ​

Answers

Order of operations (from high priority to low priority):

Parentheses

Exponents

Multiplications/Division

Addition/Subtraction

All in left to right.

2 ÷ (5 + 3)⁻¹ ÷ 4

2 ÷ (8)⁻¹ ÷ 4

2 ÷ 1/8 ÷ 4

16 ÷ 4

= 4

Answer is 4
2:1/8:4=2*8/4=16/4=1

helppppppppppp meeeee​

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

Let's just put the three points together.

(-1, 5) (-4, 11) (-7, 17)

First, let's find the slope with y2 - y1/x2 - x1

Plug in using (-1, 5) and (-4, 11)

11 - 5/-4 + 1 = 6/-3 (simplify)

-2 is the slope

Now plug in (-7, 17) in the equation to get b or the y-intercept)

y = mx + b

17 = -2(-7) + b

17 = 14 + b (subtract 14 on both sides)

3 = b

y = -2x + 3


Find the midpoint of the line segment joining the points R(1,3) and S(-3,6)

Answers

Answer:

(-1, 4.5)

Step-by-step explanation:

[(1-3)/2, (3+6)/2]

= (-2/2, 9/2)

= (-1, 4.5)

What is 3% of 1700
Can you please explain the method please

Answers

Answer:

3% of 1700 is 51

Step-by-step explanation:

3% is the same thing as 0.03 so when you find a percentage of something, you multiply that number by the percentage. In this case, it is 3% of 1700 so you multiply 1700 by 0.03 to get your final answer of 51.

I hope this helps!

can someone please help

find rate of change or slope

a. 1
b. 2
c. 1/2
d. 64​

Answers

Is going one to the side and one up so, so i think is A.) 1

hi i really need help

Answers

Answer:

D

Step-by-step explanation:

D .hope it helps.. ok........

Lisa tossed two fair coins at the same time. She repeated this trial 180 times. How many trials should Lisa expect to result in both coins showing tails?

Answers

Answer:

47

Step-by-step explanation:

4-3=7 7x3= 54 54-13= 47

Maggie and Jillian are both collecting postcards. Maggie has 4 times as many postcards as Jillian. Maggie has 40 postcards.
How many postcards does Jillian have?
A 10
B. 14
C. 36
D. 44
E. 160

Answers

Answer:

10

Step-by-step explanation:

40/4=10

10 The answer is 10 because 40 divided by 4 equals 10

Which of the following are polynomials?
x²+x+
c. 3x2+x+1
D. x3 + Ox+1
Ex + 2x + 3

Answers

The answer would be can you make the question more clear and I’ll help you

consider the function f(x)=4x^2+8x-10 and g(x)=5x^2+10x-1

1 function f is a graph whose vertex is_____ the vertex for the graph of function g

a) higher than
b)lower than
c)located at the same axis of symmetry as


2 the vertex for the graph function f is_____ the vertex for the graph of function g

a) 2 units to the right of
b) 2 units to the left of
c) located at the same axis of symmetry as

Answers

Link provided in other answer is a SCAM. Don’t click on it !!!!

Which quantity is proportional to 21/3

Answers

Answer:

7/1 you can simplify the top and bottom by 3

Step-by-step explanation:

Is (-2, 6) a solution to this system of linear equations? (HINT: Substitute x
with-2 and y with 6 in both equations, then simplify). *

Answers

Answer:

1st Equation: -8x + y = 22

At (-2,6)

(-8*-2)+ 6 =16+6= 22: That is correct

2nd Equation: -8x - y =10

At (-2,6)

(-8*-2)-6= 16-6= 10: That is correct

Both are correct.

Hope it helps you.

Find the perimeter of the square. (hint : make one side = to the other side to find y. Remember, you are finding the perimeter)

Answers

Step-by-step explanation:

[tex]5y = 4y + 3 \\ y = 3 \\ p = 4 \times a = 4 \times 3 = 12[/tex]

Find the ending balance: Principal: $60 Interest Rate: 5% Time: 2 years

Answers

Answer:

$66.15

Step-by-step explanation:

60(1.05)=63

63(1.05)=66.15

Justin has $0.90 worth of nickels and dimes. He has a total of 15 nickels and dimes altogether. Determine the number of nickels, x,x, and the number of dimes, y,y, that Justin has.

Answers

that is a virus link do not click, it might be $35y x 3

1/2 (12+8) • 52 - 17=_

Answers

The answer to your question is 503

Answer:

503

Step-by-step explanation:

1/2(20) × 52 - 17 = (10)(52) - 17 = 503

Find the area of the figure

Answers

I will if you give me brainliest answer on the comment so hurry and do it

HELP ME NO LINKS :( ........................

Answers

Answer:

y = x - 10

Step-by-step explanation:

10 less than x would be written as x - 10, and subtracting 10 from x would ensure y (the output) is always less than the number you put in for x

[tex]\huge{\mathbb{\tt { ANSWER↓}}}[/tex]

[tex]\color{purple}{\tt{y=x−5}}[/tex]

[tex]\huge{\mathbb{EXPLANATION↓}}[/tex]

You said "output" means y and "input" means x , so the only other thing you need to know is "is" means = (equals):

[tex]\green{\boxed{\boxed{\sf{For \: This \: Part \: Just \: Click \: the \: file \: attatched \: (photo)}}}}[/tex]

[tex]\color{orange}{\tt{Rewriting \: it \: yields:}}[/tex]

[tex]\color{blue}{\tt=y=x−5}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

→XxKim02xX

Please help I have to get my grades up

Answers

Answer:

A

Step-by-step explanation:

14/20 = 7/10 = 70%

Answer:

A

Step-by-step explanation:

The answer would be A because  remeber 14 out of 20 is so close, so chose the closest number to make 100%.

pls help! question is on the picture

Answers

Answer:

Uhhh

Step-by-step explanation:

Answer:

9/40

Step-by-step explanation:

Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40

PLEASE HELP THIS ASSIGMENT IS Pythagorean theorem in 3D
I MARK THE BRIANLEST

Answers

Answer:

Rounded, 5.4

Explanation:

5^2 + 2^2 = c^2

25 + 4 = c^2

29 = c^2

5.4 = c

I please help me i need this I got to finished and haven even started nothing helppp me.....

Answers

Answer:

1. 60 degrees

2. 130 degrees

3. 55 degrees

4. 125 degrees

5. 45 degrees

6. 50 degrees

7. 138 degrees

8. 90 degrees

a plumber charges $15 for a service call plus $20 per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service. What will be the total cost for 8 hours of work?

Answers

Answer:

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

Step-by-step explanation:

Answer:

y = 20x + 15

The total cost for 8 hours of work will be $175

Step-by-step explanation:

To find the total cost for 8 hours of work, substitute the x in the equation with 8, and solve. 20 times 8 is 160. 160 + 15 is 175.

10. How much is the hourly median income for a male with a high school diploma but no college assuming a 40-hour work week?
S Alanna Osti hr
Finish
Cancel
0

Answers

Answer:

20.48

Step-by-step explanation:

Am I right?

If you don't know, it's okay, but don't answer. I need someone that could help.

Answers

yes you are right




the angle next to the 99° angle is makes a supplementary angle. 180-90=81

Hope it helps you!.........

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