MATHEMATICS HIGH SCHOOL

Marguerite drew a rectangle with vertices A(-2,-1) B(-2,-4) and C (1,-4) what are the coordinates of the fourth vortex?

Answers

Answer 1
Answer:

Concept:

we use the vector method to solve this problem, take all the vertices in vector foam.

In the rectangle their exist two pair of parallel and equal sides, take the one pair and solve for unknown vertex.

BA=CD

A-B = D-C

(-2i-j)-(-2i-4j) = (xi+yj)-(1i-4j)

(-2i-j+2i+4j) = (xi+yj-1i+4j)

3j = xi+yj-1i+4j

i+3j-4j = xi+yj

1i-1j= xi+yj

by comparing,

x= 1

y= -1

so D vertex is (1, -1)
Answer 2
Answer: The fourth vortex is (1, -1)

Related Questions

Samuel's Car Service will charge a flat travel fee of $4.75 for anyone making a trip. They charge an additional set rate of $1.50 per mile that is traveled. What is an equation that represents the charges?1) y=1.5x+1.52) y=4.75x+4.753) y=1.5x+4.754) y=4.75x+1.5
What is the value of x in the figure below? Leave answer in simplest radical form.
Find the LCM of 9 and 12.
Select the best answer for the question 7/8=?/48
The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function? {x: x = –1, 0, 1, 2} {y: y = –7, –2, 3, 8} {x: x = –7, –2, –1, 0, 1, 2, 3, 8} {y: y = –7, –2, –1, 0, 1, 2, 3, 8}

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

The expected value of the points earned on a single roll in the game would take into account the probability of the numbers of the cube and whether or not they're prime. If the cube is a dice with numbers 1 to 6, then the expected value of the points would be:
P = 1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6)
P = 1/6 or 0.1667

Eleanor had a gross income of $2,478.15 during each pay period in 2010 if she got paid monthly how much of her pay was deducted for FICA in 2010

Answers

According to reliable sources online, the FICA rate last 2010 amounted to 6.2%. The amount deducted to Eleanor's pay monthly is calculated by multiplying the monthly pay and the rate. That is,
                                    FICA (monthly) = ($2,478.15)(0.062)
                                                            = $153.636
Multiplying that amount by 12 (since there are 12 months in a year) is equal to $1843.632. Thus, $1843.632 was deducted from Eleanor's pay last 2010 for FICA. 

A food pantry distributes 10-ounce bags of flour. A supermarket donates nine 5-pound bags to the pantry. How many 10-ounce bags can workers at the food pantry make with the nine bags?

Answers

Given:
nine 5 pound bags 
distributed into 10-ounce bags

1 pound = 16 ounces

9 x 5 pounds = 45 pounds

45 pounds * 16 ounces/lbs = 45 * 16 oz = 720 ounces

720 ounces / 10 ounce bags = 720/10 = 72 bags.

The workers at the food pantry will be able to make 72 bags.

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is °.

Answers

The arc length of a subtending arc on a circle has the formula:
s = rθ
where is the arc length
r is the radius
θ is the angle subtended

So,
θ = s/r = 8π / 4.5 = 16π/9

We multiply it with 180/π to convert it to degrees.
(16π/90) (180/π) = 320°

The correct answer

320

:)

Will someone PLEASE check my answers asap?? will mark a brainliest!!1) The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ____


2) Find an equivalent function to f(x) = 4(7)2x.

A) f(x) = 282x
B) f(x) = 4(49)x
C) f(x) = 196x
D) f(x) = 16x(49)x



3) The functions f(x) and g(x) are described using the following equation and table:

f(x) = −6(1.02)^x

x g(x)
−1 −5
0 −3
1 −1
2 1

Which equation best compares the y-intercepts of f(x) and g(x)?


a) The y-intercept of f(x) is equal to the y-intercept of g(x).
b) The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
c) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
d) The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).



4) What is the value of x in the solution to the following system of equations? (5 points)

x − y = −3
x + 3y = 5

For #1 i put in 3 as the answer.
For #2 i put B as the answer.
For #3 i put B as the answer.
For #4 i put 2 as the answer.

Answers

Answer:

1) 3

2) B

3) B

4) x=-1

Step-by-step explanation:

1) The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x-k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3.

2) Consider the function f(x)=4(7)^(2x). Note that 7^(2x)=(7^2)^x=49^x. Then

f(x)=4\cdot 49^x.

3) The y-intercept of f(x) is point (0,-6), because f(0)=-6\cdot (1.02)^0=-6. The y-intercept of g(x) is point (0,-3). Then the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

4) From the first equation x=y-3. Substitute it into the second equation:

y-3+3y=5,\n \ny+3y=5+3,\n \n4y=8,\n \ny=2.

Then x=2-3=-1.

All of your answers are correct, except the last one.

The last one is a system of linear equations that you can solve by using elimination:

x - y = -3

x + 3y = 5

Subtract the two equations:

-4y = -8

y = 2

Use y to solve for x:

x - (2) = -3

Add 2 to both sides:

x = -1

The answer for #4 is x = -1.

Help me please!!!!! A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 10% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 60 cans?

A. P(Both defective) = start fraction six over 25 end fraction
B. P(Both defective) = start fraction one over 118 end fraction
C. P(Both defective) = start fraction three over 250 end fraction
D. P(Both defective) = start fraction nine over 625 end fraction

Answers

The probability that the two selected cans are defective, when the quality control worker selects the two cans from a batch of 60 cans is 1/118.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing.  

Past statistics show that 10% of the cans are defective. Thus the probability of defective can to be selected is,

P=(1)/(10)

There is total 60 cans in which 10 percent are defective. Hence the total defective can in one batch are 6.

In the second attampt the number of total can in batch will be 59 and number of defective can will be 5.

The probability that the two selected cans are defective, when the quality control worker selects the two cans from a batch of 60 cans by chain rule is,

P=(6)/(60)*(5)/(59)\nP=(1)/(118)

Thus, the probability that the two selected cans are defective, when the quality control worker selects the two cans from a batch of 60 cans is 1/118.

Learn more about the probability here;

brainly.com/question/24756209
The probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 60 cans is P(Both defective) = start fraction nine over 625 end fraction. The answer is letter D
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