The equations shown represent two altitudes of a triangle. y = x+1 and y = −2x−1 What are the coordinates of the orthocenter of the triangle?

Answers

Answer 1

Answer:

The coordinates of the orthocenter of the triangle is;

(-2/3,1/3)

Step-by-step explanation:

To find the coordinates of the orthocenter, all we have to do is solve for x and y of the given altitudes

We can get this by solving both equations simultaneously

Simply equate the two y’s

x + 1 = -2x-1

x + 2x = -1-1

3x = -2

x = -2/3

To get y, simply substitute into any of the equation, the value of x

y = -2/3 + 1

y = 1/3


Related Questions

A ratio that compares two quantities measured in different units is known as a ______________________.

Answers

Answer:

a rate

Step-by-step explanation:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.

A plumber charges a one-time service fee of $20 in addition to his hourly rate of $25 per hour. If the plumber went to your house to work on your bathtub and toilet and the bill came to $282.50, how many hours did it take him to complete the job?

A- 25 + 20x = 282.50; x = 10.5 hours

B- 20 + 25x = 282.50; x = 10.5 hours

C- 20 + 25x = 282.50; x = 12.1 hours

D- 45x = 282.50; x = 6.3 hours

Answers

Answer: B

Step-by-step explanation:

The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours

According to the question;

The one-time service fee of the plumber is; $20

The plumber's hourly rate is; $25 per hour.

The total bill after working on toilet and bathroom came to; $282.50

The expression which represents the plumber's charge is therefore;

20 + 25x = 282.50

where, x = number of hours to complete the job.

Therefore, to find x;

25x = 282.50 - 20

25x = 262.50

x = 262.50/25

x = 10.5 hours.

The total number of hours it took him to complete the job is; 10.5 hours.

Read more:

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Math problem. I not smort

Answers

Answer:

first answer

Step-by-step explanation:

doesnt pass vertical line test, not a function

Eight more then seventimes a number (x) is atleast twenty nine

Answers

Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73

Some number decreased by seven is thirty-three. x - 7 = 33

A number increased by twelve is forty. x + 12 = 40

A number increased by fifteen is sixty-two. x + 15 = 62

Eight less than a number is nine. x - 8 = 9

A number divided by 11 is 4. x/11 = 4

Seven more than three times a number is 19. 3x + 7 = 19

Four more than five times a number is thirty-six. 5x + 4 = 35

Eight less than nine times a number is eleven. 9x - 8 = 11

Twelve more than four times a number is seven. 4x + 12 = 7

Seven more than triple a number is fifteen. 3x + 7 = 15

Seven times a number increased by eight equals twenty-three. 7x + 8 = 23

Eight more than six times a numbers is eleven. 6x + 8 = 11

Nine times a number increased by thirteen is twelve. 9x + 13 = 12

The quotient of a number and four is seventeen. x/4 = 17

A number increased by seven is twenty-five. x + 7 = 25

Fifty-five is the sum of a number and sixteen. x + 16 = 55

The product of a number and eleven is seventy-five. 11x = 75

Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37

The difference of a number and twelve is thirty-four. x - 12 = 34

Step-by-step explanation:

Answer:

x is equal to or greater than 3

Step-by-step explanation:

7x + 8 => 29

7x => 21

x => 3

Anyone know how to do identify the features?

Answers

4/2 equals shaft rush’s that did Denis cov Beth him

SOMEONE HELP!!!! ASAP

I’ll give brainliest!! Please and ty !


Last answe choice is 37 !!

Answers

Answer:

65

Step-by-step explanation:

Show and explain how you found the answer to this problem. Carla has 152 pictures to put in a scrapbook. If she can fit 12 pictures on a page, how many pages will she need to use?

Someone explain how did it in there answer :)
I’ll also mark as you know that

Answers



Explanation:

You make the equation. If she can put 12 on each page then you would multiply 12 by p (pages) and have it equal to 152

152=12p


To solve this, you would divide 12 from both sides

152/12=12.666

Therefore, 12.6=pages but since there aren’t 12.6 pages and you need to keep it a whole number you would round up to 13 because if you kept it at twelve pages you would have those pictures left over.

Answer:

13 pages

Step-by-step explanation:

(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15

Answers

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4​

Answers

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:

two geometric figures that are proportional in size are ____ figures​

Answers

I think the answer is congruent

kim weighed the dictionary and found that it had a mass of 745 grams. how many kilograms is that?

Answers

Answer:

0.745 kilograms

Brenda took her dog to the veterinarian for an exam. The doctor told Brenda her dog needed to lose weight. Her dog weighed 55 pounds during this visit. The doctor suggested that her dog 45 pounds by their next visit. What is this weight decrease represented as a percent?

Answers

Answer:

18%

Step-by-step explanation:

Step one;

given

initial weight = 55 pounds

final weight= 45 pounds

Step two:

Required

the % weight decrease

% decrease= initial-final/initial *100

% decrease= 55-45/55 *100

% decrease= 10/55 *100

% decrease= 0.18 *100

% decrease= 18%

Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%

Answers

Answer:

Step-by-step explanation:

jordan traveled 255 miles out of 340 miles

340 miles.........................100 %

255 miles..........................   ?

255*100=2500/340=73%

See attachment for math work and answer.

marking brainliest to whoever can help me

Answers

The mean is 7.5 and the median is 8 so the answer would be 0.5

Identify the axis of symmetry and vertex.

Answers

Answer:

he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Simplify (4i) (5i) - The “i” is the imaginary number for negative 1

Answers

Answer:

-20

Step-by-step explanation:

The simplified form of the given complex number (4i)(5i) is -20.

To simplify the expression (4i)(5i), we can use the properties of complex numbers.

The imaginary unit i is defined as the square root of -1. So, i² = -1.

Now let's simplify the given expression:

(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.

Since i² equals -1, we can substitute -1 for i²:

20i² = 20(-1)

Multiplying -1 by 20, we get:

20(-1) = -20

Therefore, the simplified form of (4i)(5i) is -20.

Learn more about the complex numbers here:

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What is the slope of the line?

Answers

The slope is 2/3 (over 2, up 3 or over 2 down 3)

I need help solving this problem. ​

Answers

Answer:

about $342 or $171 per airpod

Step-by-step explanation:

the airpods cost about $171 each

1,200 ÷ 7 = 171 x 2 = 342

glad to help :)

Write 1 390 000 in standard form.

Answers

1.39x10^6 is the answer

PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2

Answers

Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

I have a different one but it was supposed to be 1/4

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!

Solve -2t + 5 ≥ -7.


t ≤ 6
t ≤ -6
t ≥ 6
t ≥ -6

Answers

Hope that helped! The answer is t is less than or equal to 6

The value of t will be  t ≥ 6 or t ∈ [ 6 , α ) .

Given,

-2t + 5 ≥ -7

Now,

Solving the inequality,

-2t + 5 ≥ -7

Take 5 from LHS of inequality to RHS of inequality .

-2t ≥ -12

The negative signs from both sides are eliminated .

2t ≥ 12

t≥ 12/2

t≥ 6 .

Thus the value of inequality will be t ≥ 6 .

Thus option C will be correct .

Learn more about inequality,

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Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answers

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

Simplify: - 5 1/4 - ( - 7 1/2)

Answers

Answer:

  91/4 simplified = 22 3/4

work:

subtract find answer then simplify :)

Hope this helps

CAN SOMEONE PLEASE HELP ME ASAP

Answers

Answer:

G

Step-by-step explanation:

difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)

Please help me thanks please

Answers

Answer:

Missing side is 15 in

area 150 in^2

Step-by-step explanation:

x = √ (25^2 - 20^2)

x = √ 625 - 400

x = √ 225

x = 15

area = bh/2

area = (20 * 15) /2

area = 300 / 2

area = 150

I think it's 500 but maybe Im wrong bc I keep editing my answer

PLZ help me with this :(


Part 1: Simplify √250


Part 2: Classify the number above as rational or irrational


Level 3 (Proficient: 85%)


Part 1: Simplify √150x*5


Part 2: Is the follow expression rational or irrational and why? 2√4+7


Level 4 (Distinguished: 100%)


Part 1: Simplify 13√750x*5 y*8


Part 2: Create two unique expressions each involving 1 square root and at least 1 operation (adding, subtracting, multiplying, dividing). Make 1 results in a rational number and the other result in an irrational number. Explain your reasoning for both.

Answers

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Sophie's town voted on a new speed limit. Out of 75 votes, 15 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?

Answers

Answer:

20%

Step-by-step explanation:

Divide 15 by 75 to find the percentage.

Help me please, i need to get my grade up from a 28 in my class

Answers

Answer:

y = f(x+3) - 5.

Step-by-step explanation:

In general, the equation y = f(x-h) + k shifts the graph of f(x) h units to the right and k units upward. This graph shifts f(x) 3 units to the left (-3 units to the right) and 5 units downward (-5 units upward).

Therefore, the equation for the shifted graph is y = f(x-(-3)) + (-5), or simply y = f(x+3) - 5.

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