The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G, the point of intersection of diagonals MT and ?

Answers

Answer 1

Answer:

[tex]G = (-1.5,1.5)[/tex]

Step-by-step explanation:

Given

[tex]M = (-7,5)[/tex]

[tex]A = (6,5)[/tex]

[tex]T = (4,-2)[/tex]

[tex]H = (-9,-2)[/tex]

Required

Determine the coordinate of G

From the complete question, G is at the intersection of MT and AH.

So, G is calculated using midpoint formula

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For MT:

[tex]M = (-7,5)[/tex]      [tex]T = (4,-2)[/tex]

[tex]G = \frac{1}{2}(-7 + 4, 5 -2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

To show that [tex]G = (-1.5,1.5)[/tex]

We have:

[tex]A = (6,5)[/tex]       [tex]H = (-9,-2)[/tex]

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

[tex]G =\frac{1}{2}(6-9,5-2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

Hence, the coordinates of G is:

[tex]G = (-1.5,1.5)[/tex]


Related Questions

I really need help on this! Thank you in advance!!!

On Sarah’s shelf are 6 mystery books, 5 sciences books, 4 history books, and 3 adventure books. Sarah will randomly choose one book to read. What is the probability that she will choose a mystery book?

Answers

Answer:

1/3 chance she will chose a Mystery Book.

Step-by-step explanation:

I hope This helps?

Total= 18

mystery=6

6/18= 1/3

Answer:

the answer is 1/3 or 6 out of 18

Which polynomial represents (3x2 + x - 4)(2x - 5)?

A.6x3 + 13x2 + 3x - 20

B.6x3 - 13x2 - 13x + 20

C.6x3 + 13x2 + 3x + 20

D6x3 - 13x2 - 13x - 20

Answers

D and I hope this helps

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

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Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?

Answers

Answer:

$10,400

Step-by-step explanation:

Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?

Answers

Answer:

1

Step-by-step explanation:

depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight

5.) James is 4 feet 7 inches tall? How tall is James in inches? A 55 inches B. 54 inches C. 47 inches D. 11 inches ?​

Answers

Answer:

55 inches

Step-by-step explanation:

4 feet x 12 inches per foot = 48 inches + 7 inches = 55 inches

A truck is bought at the price of $60,000. The value decreases at the rate of .25 every year (t). The exponential expression 60,000(0.75)t describes this situation. Find the value of the truck at 2 years.

Answers

Answer:

$33750

Step-by-step explanation:

Replace t with 2.  The correct formula is

[tex]60000(.75)^t[/tex]   (t is an exponent)

With t = 2, the value of the truck is

[tex]60000(.75)^2=33750[/tex]

Is 0.35 grater than 300 mL

Answers

Answer:

yes

Step-by-step explanation:

yes

Can yall get me the volume calculations for the 3 shapes? Thank you! | Geometry

Answers

Figure 1

Name = Coneh = 4 unitsd = 8

Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below

V = (1/3)*pi*r^2*h

V = (1/3)*pi*(4)^2*4

V = (64/3)pi  ..... exact volume in terms of pi

V = (64/3)*3.14

V = 66.98667 .... approximate volume when using pi = 3.14

========================================================

Figure 2

Name = cylinderh = 4d = 8  which cuts in half to r = 4

V = volume of cylinder

V = pi*r^2*h

V = pi*4^2*4

V = 64pi ..... exact volume

V = 64*3.14

V = 200.96 .... approximate volume when using pi = 3.14

========================================================

Figure 3

Name = rectangular prismb = 32h* = 12h = 4

b and h* are dimensions along the bottom face, aka floor

h is the height or vertical dimension of the 3D room

V = volume of rectangular prism = volume of 3D room

V = length*width*height

V = (b)(h*)(h)

V = (32)(12)(4)

V = 1536 is the exact volume

There is no approximate volume for this figure because the result above is an integer.

========================================================

Combining the figures

Adding up the volumes for figures 1 through 3 gets us

(64/3)pi + 64pi + 1536 = (256/3)pi + 1536

The exact total volume in terms of pi is (256/3)pi + 1536

If we used pi = 3.14, then it leads to

(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667

The approximate total volume of all three figures combined is roughly 1803.94667 cubic units

A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has

Answers

Answer:

The answer is "A mean of 0 and a standard deviation of 1".

Step-by-step explanation:

The standard answer of its following formula is calculated by:

[tex]\to z=\frac{X-\mu}{\sigma}[/tex]

Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.

Explain how an equation is like a balanced hanger plzzz answer due today

Answers

A hanger stays balanced when the weights on both sides are equal.

An equation can be compared to a balanced hanger. We can change the equation, but for a true equation to remain true, the same thing must be done to both sides of the equal sign.

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The students filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

77%

I like to use ratios and cross multiply for problems like this. Take the part (1001) over the whole (1300), and that equals x percent of 100 percent.

1001/1300 = x/100
100100 = 1300x
x = 77

Por favor alguien que me ayude ( es un examen final) :(​

Answers

Answer:

A) 24

Step-by-step explanation:

Answer:

m = 24

Step-by-step explanation:

I really DONT know what’s function

Answers

Answer:

its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.

-by-step explanation:

help please please really help me

Answers

To do the following I first listed the numbers from least to greatest

mean: (also known as average) is 7 just add all the numbers together and divide by the amount of numbers there are which is 77/11

median: 5 it's the middle number (5, 5, 6)

mode: 2 the number that appears the most

range: 16 difference between the highest value and the lowest (18-2)

quartile 1: 2 median of the lower half

quartile 3: 9 median of the upper half

interquartile range: 7 (Q3-Q1)

hope this helped :)

Simplify 4^3(3^2+11)(7^4-7^4)(10^10) show work

Answers

put that in photo math

At a police checkpoint for drunk drivers, some cars are stopped at random; many others are not stopped. The cars that are stopped may be considered a _____ of all the cars that pass by the checkpoint.

Answers

Answer:

sample

or spot check

Step-by-step explanation:

there are quite a number of different terms that can be used depending on the specific scientific field you are working in.

but "sample" should be the most common one for a random selection of a subset of the whole set.

HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

5

(8 × 3) - 12 = 12

24 - 12

12

if 5cosA =4 wat is CosA​

Answers

Answer:

4/5

Step-by-step explanation:

5cosA=4

divide both sides by 5

cosA=4/5

50 POINTS

Show work for both questions.

Pleaseee don’t answer if you don’t know, I need this really soon.

Answers

Step-by-step explanation:

a)

[tex]\sin^{2}x + \cos^{2}x = 1[/tex]

Dividing both sides by sin^2x, we get

[tex]1 + \frac{\cos^{2}x }{ \sin^{2}x} = \frac{1}{\sin^{2}x } [/tex]

The 2nd term on the LHS is simply cot^2x and the RHS is simply csc^2x

[tex]1 + \cot^{2}x = \csc^{2}x[/tex]

b)

[tex]2 \sin x = 1[/tex]

[tex] \sin x = \frac{1}{2} [/tex]

[tex]x = \sin^{ - 1} (\frac{1}{2}) = \frac{\pi}{6} [/tex]

You can also graph it to arrive at the solution.

Did u get help

On you question?

Type the expression that results from the following series
of steps:
Start with x and multiply by itself.

Answers

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

Complete the missing parts of the table for the following function. y=7x​

Answers

Answers:   49,   1,   49

Those values go in the blanks from left to right

=====================================================

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

1.) The check number on a check:

A.) identifies the bank and is located at the bottom left corner of the check.

B.) identifies the bank and is located at the top right corner of the check.

C.) identifies the transaction and is located at the bottom left corner of the check.

D.) identifies the transaction and is located at the top right corner of the check.

E.) None of these choices are correct.

Answers

Answer:

D) Identifies the transaction and is located at the top right corner of the check

Step-by-step explanation:

The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number

The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.

The check number also aids in balancing of the checkbook.

Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.

a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume

Answers

Answer:

The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches

Step-by-step explanation:

The  given dimension of the steel sheet are;

The width = 8.5 inches

The length = 11 inches

Let 'x' represent the side length of the squares cut out, we have;

The length of the box formed, l = 11 - 2·x

The width of the box formed, w = 8.5 - 2·x

The height of the box, h = x

The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x

The maximum or minimum volume is found from dV/dx = 0 at max. or min.

dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0

Which gives;

x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)

x = 4.915 or 1.585

When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65

When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15

Therefore, the local maximum occurs at x ≈ 1.585

Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.

You have started keeping track of your spending habits. You have noticed that after 12 days you have
$1281 left in your account. You check again after 17 days have passed and your account is now at $861.
How many days will it take before you run out of money (assume you are spending money at a constant
rate)? Marks will be awarded only for the use of equations where t is the time elapsed in days and m is
the money left in your account in dollars.

Answers

Answer:

Time taken to elapse the remaining $861  = 10.25 days

Step-by-step explanation:

Assuming that I am spending at a rate of -x dollars per day

Let initial amount be A

The rate of expenditure = 1281-861/5 = 84 dollars per day

Time taken to elapse the remaining $861 = $861/$84 per day

= 10.25 days

The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.

from What height is the beach ball thrown? explain or show your reasoning

Answers

2 ft

Step-by-step explanation:

The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get

y = [-16(0) - 2](0 - 1)

= (-2)(-1)

= 2 ft

Therefore, the ball was thrown from a height of 2 ft.

What is the inverse of the function f(x) = 64x2 when x 2 0?

Answers

Answer:

The answer is A.

Y=64x²

X=64y²

X/64=y2

Then y = + or - root of x /8

a jug contains 2 gallons of water how many quarts of water does the jug contain

Answers

Answer:

8 quarts, in 2 gallons

Step-by-step explanation:

1. Complete the following table for the proportional relationship:
Hot Dogs
I Total Price
1
2
$3.00
3
$7.50
12
$31.50
55
What is the constant of proportionality for the relation above?

Answers

Add 1.50 to each time the price goes up

Step-by-step explanation: Multiply by two each time and you will have your answer 1 hot dog is 1.50 two are 3.00 use that method and you will have the correct answer

if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?

Answers

The inequality equation is x ≥ ( by - c - d ) / a

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

by - d ≤ ax + c    be equation (1)

On simplifying the equation , we get

Subtracting c on both sides of the equation , we get

by - d - c ≤ ax

And , ax ≥ by - d - c

Divide by a on both sides of the equation , we get

x ≥ ( by - c - d ) / 2

Hence , the inequality is x ≥ ( by - c - d ) / a

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help pls i can give brainliest?
Identify the solution to the system of equations.

Answers

It would be (2,2) because it’s the point where the two equations intersect.
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