Please help thank you

The coordinates of Point D are (2.5, 8).

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

Given:

Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).

We have to find the coordinates of Point D.

Let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

We know that the diagonals of a parallelogram bisect each other.

So, O is the midpoint of AC as well as that of BD.

Using the midpoint formula,

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

Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]

⇒  Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]

Now,

Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]

⇒

[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]

Hence, the coordinates of Point D are (2.5, 8).

To know more about parallelogram, click on the link

https://brainly.com/question/970600

#SPJ1

Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.

Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].

The result of matrix multiplication, AB, will also be a 2x2 matrix.

To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.

The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:

(21) + (33) = 2+9 = 11

The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:

(22) + (34) = 4+12 = 16

The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:

(41) + (53) = 4+15 = 19

The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:

(4*2)

Step-by-step explanation:

Hello there!

Answer:

14

Step-by-step explanation:

Let the smaller side is x. Then the largest side is x * 7/5.

Perimeter is equal to 2 * (x + 7/5 * x) or 48.

2 * (x + 7/5 * x) = 48

5/5 * x + 7/5 * x = 24

12/5 * x = 24

12/5 * 5/12 * x = 24 * 5/12

x = 10.

Tha larger side is 10 * 7/5 = 14.

Step-by-step explanation:

Given ,

To Find : Which side is longer

We know the formula to find the perimeter of a parallelogram is,

[tex]P = 2(a+b)[/tex]

We take 'x' to find out which side is longer

[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]

[tex]2 = x[/tex]

Side a = 7x = 7 x 2 = 14

Side b = 5x = 5 x 2 = 10

Side a [tex]\geq[/tex] Side b

Hence,  side a is longer

9514 1404 393

Answer:

  The correct answer choice is marked

Step-by-step explanation:

The distributive property can be used here.

  [tex]\displaystyle \frac{4y^6+8y^4}{2y^2}=\frac{4y^6}{2y^2}+\frac{8y^4}{2y^2}=2y^{6-2}+4y^{4-2}=\boxed{2y^4+4y^2}[/tex]

Answer:

P(Sarah wins)= 1/3

P(Bridget wins)= 2/3

Step-by-step explanation:

15/45 = 1/3

1 - 1/3 = 2/3

Answer:

-10

Step-by-step explanation:

-5b + 35 = 85

-5b = 50

-5b/-5 = 50/-5

b = -10

Answer:

B = -10

Step-by-step explanation:

-5b + 35 = 85

work is shown in picture

Answer:

X=110

Step-by-step explanation:

The height of the cliff is 109.58 meters.

Angle of elevation is the angle which is between a horizontal line and the line of sight which is pointed upwards.

Given that,

We get a right angled triangle ABC where A represents the base of the cliff and C is the point of the top of the hill.

B is the point which is at a distance of 235 meters from the base of a cliff.

Length of AB = 235 meters

Angle of elevation to the cliff top, ∠B = 25 degrees

AC represents the height of the cliff. Let it be x.

Using the trigonometric ratio,

tan B = AC / AB

tan 25 = x / 235

x = 235 × tan 25

  = 109.58 meters

Hence the height of the cliff is 109.58 meters.

Learn more about Angle of Elevation here :

https://brainly.com/question/21137209

#SPJ2

A line has a slope of 5. it passes through the points (-5, -1) and (x,9) than the value of x is -3

We are going to use the fact that when a line passes through two points : [tex](x1,y1) and (x2,y2)[/tex]

the slope is given by the following formula:

[tex]slope=y2-y1/x2-x1[/tex]

In the present case, the slope is 5 and the points are (-5, -1) and (x, 9)

Hence,

[tex]5=9-(-1)/x-(-5)[/tex]

[tex]5=10/x+5\\x+5=10/5\\x+5=2\\x=-3[/tex]

Thus, the value of x is -3 when it travels between the coordinates (-5, -1) and (x, 9).

Learn more about the slope formula here:https://brainly.com/question/24092749

Answer:

20

Step-by-step explanation:

Answer:

47 cm²

Step-by-step explanation:

3(9 - 4) + 8 × 4 = 15 + 32 = 47

Answer:

its d kkkkkkkkkkkkkkkkkkkkkk

Answer:

They would earn 67,773 dollars!! Hope this helped u!! ;)

Step-by-step explanation:

You times 779 times 87 = 67,773

Answer:

$67773

Step-by-step explanation:

Your equation would be 779 * 87 = 67773 because for each person they are going to charge 779 dollars and there are 87 people.

Answer:

35.84

Step-by-step explanation:

Answer:

48 1/3

Step-by-step explanation:

Multiply number of kids shoes lined up (5 pairs) by inches per shoe (9 2/3"). ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long

Answer:

True

Step-by-step explanation:

Let's call

x: number of oranges

y: price

The relationship between x and y is proportional if they fulfill the following condition.

y / x = k

where,

k is a proportionality constant

Then,

6 / 4 = 15 / 10 = 1.5

Since x and y fulfill the condition, they have a relationship of proportionality.

Answer:

q02 because it is showed the most times

Answer:

One solution

Step-by-step explanation:

The only solution is x = 2/3

Answer:

3x-5=-3=19

Step-by-step explanation:

Answer:

35 Quarters and 36 Dimes

Step-by-step explanation:

d + q = 71

10 + 25 = 1235

10 x 36 = 360

25 x 35 = 875

360 + 875 = 1235

Answer:

There are 35 quarters and 36 dimes.

Step-by-step explanation

x = the number of quarters

y = the number of dimes

x + y = 71

0.25x + 0.1y = 12.35 ---> multiply this equation by 100

now...

25x + 10y = 1235

x + y = 71 ----> multiply this equation by -25

25x + 10y = 1235

-25x - 25y = -1775

[tex]\frac{-15}{-15} = \frac{-540}{-15}[/tex]

y = 36 dimes

next step

x + y = 71

x + 36 = 71

   - 36    - 36

x = 35 quarters

Answer:

SEE EXPLANATION

Step-by-step explanation:

Add all amount of teachers together

14+26 = 40

14:40

Simplified: 7/20 or 7:20

Ratios are just like fractions and can usually be put in this format

Answer:

7:20

Step-by-step explanation:

14+26=40

40 equals the total amount of teachers. Since we want to do the ratio of math teachers to the total of all teachers, we had to find 40.

You get 14:20 though if you want to simplify, find to common denominator (2) and dived both sides by it.

14/2 = 7

40/2 = 20

= 7:20

Let C be the number of children who used the public swimming pool and A be the number of adults.

The total number of people at the pool is given by the equation: C + A = 660

The total cost of admission for all the people at the pool is given by the equation: 1.5C + 2.5A = 1279

Solving the system of equations using substitution, we get:

A = 289 and C = 371

There were 371 children and 289 adults at the public pool on the hot summer's day.

Answer:

a and d

Step-by-step explanation:

Statements the number of devices per household varies more on Block B and the least number of devices in one household is 1 are true.

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.

Block A:

Number of mobile devices are 15.

Greatest number of devices are 5 and the least number of device is 1.

Median is 3.

Block B:

Number of mobile devices are 15.

Greatest number of devices are 4 and the least number of device is 1.

Median is 2.

Therefore, statement A and E are correct.

Learn more about the dot plot here:

brainly.com/question/22746300.

#SPJ6

The best estimate of the r-value of the correlation coefficient for the variables shown in the scatter plot is: C. r = 0.64.

The farther the points are from each other along the trendline, the closer the r-value is to zero and vice versa.

If the trendline is increasing upwards to your right, the r-value would be positive, and vice versa.

Th scatter plot given shows the trendline is increasing, and the data points are moderately spaced out along the trendline from each other.

Therefore, the best estimate for the r-value is: C. r = 0.64.

Learn more about the correlation coefficient on:

https://brainly.com/question/4219149

#SPJ2

Answer:

2 crafts

Step-by-step explanation:

1 3/4 = 7/4

7/4 / 3/4 = 2.5

The question asks for whole crafts, not halves so the answer is not 3 or 2.5 but 2

Answer:

The stated margin of error would account for the possible bias caused by wrong answers due to the closeness of the confidence interval

Step-by-step explanation:

Random sample = 300

99% confidence interval of student who cheat : 0.052 to  0.192

The confidence interval is too close that it only contains the population parameter, this means that almost every subject in the Given population will have to be measured.

Since This is an impractical approach it will lead to untruthful answers been produced which will cause bias. hence the stated margin of error would account for the possible bias caused by wrong answers.

Answer:

Given,eqn is -6x-18y=20

or,-18y=6x+20

or,y=6x+20/-18

or,y=6x/-18 +20/-18

or,y= - X/3 -10/9

Comparing above eqn with y=mx +c,we get

m= -1/3 and y-intercept (c)=-10/9

*Mark me brainliest

Answer:

slope: -1/3  y-int: -10/9

Step-by-step explanation:

first step is to turn the equation into slope intercept form (y=mx+b)

-6x-18y=20

+6x        +6x

-18y=6x+20

divide -18 on both sides

y=-1/3x-10/9

the m is the slope, and the b is the y-intercept

To find the cost of 10 pounds of tomatoes, multiply 10 by the unit cost of tomatoes.

What is the unit cost?

The cost a business incurs to create, store, and sell one unit of a specific product is known as the unit cost. All fixed and variable production expenses are included in unit costs. Cost units are a way to measure the quantity of a good or service.

Unitary method: The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

The unitary method is used to find the unit cost of an object.

To find the cost of a unit object, multiply a by unit cost.

Given that, the unit cost of a unit pound of tomatoes.

The cost of 10 pounds of tomatoes is 10 ×  unit price of tomatoes.

To learn more about unit price, click on the below link:

https://brainly.com/question/20534957

#SPJ1

Exact Circumference = 4pi feet

Approximate Circumference = 12.56 feet (when using pi = 3.14)

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

Explanation:

The larger circle has a 3 foot radius.

The inner circle has a 3-1 = 2 foot radius.

Let's find the circumference of the smaller inner circle, which represents the glass window and ignores the metal frame surrounding it.

C = 2pi*r

C = 2pi*2

C = 4pi

The exact circumference is 4pi feet. This is the perimeter around the circle.

If you wanted, you can use an approximation like pi = 3.14 to find that 4pi = 4*3.14 = 12.56 feet is the approximate circumference.

Answer: 800 more hours is required to fly an aircraft

Step-by-step explanation: