Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ2

Solve for x.
X + 5 = 2x
OX=3
OX=-3
OX=-5
Ox=5

Write down the gradient of the line y =-4r+7.​

Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?

As Mexican troops drew closer to the Alamo, the Texans ________________.
a.
retreated to smaller quarters within the mission chapel
b.
sent word to Gonzales for reinforcements
c.
sent word to the United States requesting statehood
d.
suffered a rebellion from within the fort

AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH

multiply. Express your answer in the simplest form

Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft

2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?​

If 4x + 3x - 2(x + 5) = -9, then x = ?
A-12
B
C
Is
D
213
E
"15

which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant​

Which unit of measurement would be the most appropriate to measure a bottle of nail polish

Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.

How old am I if 200 reduced by 4 times my age is 56

a: -20
b:-8
c:8
d:48
¿?
​

The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?

Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?

What is 300 as a decimal

The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .

Can someone please help, ty!! (Will mark brainliest)

A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:

Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8

Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?

A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?

HELP PLEASE ! find the value of X the diagram is not to scale.

what’s the decimal expansion of 4/11

3. A recipe for apple cider calls for 4 cups of apple juice and 3 cups of water. Which equation can be used to find x, the percent of apple juice in the recipe?​

27 - 4x + -7 ( 1 + 3x)

Dylan solved the following problem:



258
34
X
----------------------------
1032

+ 774
-------------------

Aubrey says that Dylan is incorrect. What was Dylan’s mistake? What could you do to fix it? Explain your thinking





Please help ASAP

Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.

the graph shows the total number of inches of snow that fell in a town in february over ten year period. what is the approximate probability that year 11 will have more that 15 inches of snow?