Triangle GHI, with vertices G(-8,-8), H(-6,-7), and I(-9,-2),

What is the area, in square units, of triangle GHI

Answers

Answer 1

Answer:

area = 6.5 square units

Step-by-step explanation:

Use the area of a triangle in coordinate geometry formula:

[tex]\triangle GHI =\frac{1}{2} |x_1(y_2- y_3) + x_2(y_3 -y_1) + x_3(y_1 -y_2)|[/tex]

where [tex](x_1,y_1)=(-8,-8) \ \ \ \ (x_2,y_2)=(-6,-7) \ \ \ \ (x_3,y_3)=(-9,-2)[/tex]

      [tex]\triangle GHI =\frac{1}{2} |x_1(y_2- y_3) + x_2(y_3 -y_1) + x_3(y_1 -y_2)|[/tex]

[tex]\implies \triangle GHI =\frac{1}{2} |-8(-7+2) -6(-2 +8) -9(-8 +7)|[/tex]

[tex]\implies \triangle GHI =\frac{1}{2} |40 -36 +9|[/tex]

[tex]\implies \triangle GHI =6.5[/tex]


Related Questions

Which algebraic rule describes a transformation? A (x, y)➡️(-x, y). B (x,y) ➡️ x, -y). C (x, y) ➡️ (-x, -y). D (x, y) ➡️ (-y, -x)

Answers

Answer:

(x,y,) (-x,-y)...................

Angle between 0 and 360 coterminal to 444 degrees

Answers

Answer:

444 is coterminal to 84

Step-by-step explanation:

Just subtract 360 from 444 and you have your answer

444 - 360 = 84

Carolyn swim 35 laps in 1/2 hour. How far will she swim in 4 hours? Please help.

Answers

70 laps in 40 hours


1/2+1/2=4

35+35=70
I think
70 hours the other person is right tho

The graph of f of x equals x squared is shown. A transformation is applied to f of x resulting in the function g of x equals x squared plus 2. Which graph shows g of x?Answer options with 4 options.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (2, 0) that opens up.C.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (0, negative 2) that opens up.B.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (0, 2) that opens up.D.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (negative 2, 0) that opens up.

Answers

Answer:

f(x) is a parabola with a vertex at (0, 0) that opens up

g(x) is a parabola with a vertex at (0, 2) that opens up

Step-by-step explanation:

Quadratic equation:  [tex]y = ax^2 + bx + c[/tex]

The graph of a quadratic equation is a parabola.  The value of [tex]a[/tex]determines its orientation.

If [tex]a>0[/tex] then the parabola opens upwards and its vertex is its minimum point.  

If [tex]a<0[/tex] then the parabola opens downwards and its vertex is its maximum point.

Given:

f(x) = x²g(x) = x² + 2

⇒ g(x) = f(x) + 2

So the transformation of f(x) to g(x) is an upward shift of 2 units, or

a translation of f(x) by the vector [tex]\left(\begin{array}{ccc}0\\2\end{array}\right)[/tex].

Therefore, the y-coordinate of the vertex of g(x) will be 2 units more than the y-coordinate of the vertex of f(x).

Therefore,

f(x) is a parabola that opens upwards with a vertex at (0, 0)g(x) s a parabola that opens upwards with a vertex at (0, 2)

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

The percent decrease: 25%

The percent decrease: 33.33..%

So, B is the correct statement

C.)

Explanation: the percentages decreased was 25% while the percentage increased from 60 was 33%. From this 25< 33 so C. Would be best bet!

Which of the equations below could be the equation of this parabola?
A. y = 4x2
B. x = 4y2
C. X=-4x2
D. Y=-4x2

Answers

The answer is D final bc it’s is on y axis and the -4 comes because it’s going down the the y axis. D is final answer

Answer:

D

Step-by-step explanation:

The graph opens downward so we would expect the integer to be negative. Also because the parabola opens downward you cannot have the equation be X=, this leaves Y=-4xsquared as the only viable option

Your sister is getting married this summer and she has asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.

Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.

Answers

Answer:

I will choose Marvin's mobile money music machine

Step-by-step explanation:

because it is less priced

What is the value of a?

A. 42.6
B. 31.6
C. 26.6

Answers

Answer:31.6

Step-by-step explanation: i did the test

Evaluate. Express your answer to the nearest tenth, if necessary.

a) 5.3 ÷ (−8.4)

b) −0.25 ÷ (−0.031)

c) −5.3 + 2.4[7.8 + (−8.3)]

d) 4.2 − 5.6 ÷ (−2.8) − 0.9


~giving brainliest!~

Answers

Answer is C but I’ll double check just in case because my math is kind of off today

An 8 ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40 ft of crown molding?

Answers

Answer:

$98

Step-by-step explanation:

Hope this helps

Answer:

17.50

Step-by-step explanation:

8 times 4 = 32

32=$14

32/14= 40/x

x= 17.50

*PLEAS E HELP* *IRRELEVANT ANSWERS WILL BE REPORTED*

A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 120 feet below the surface after 40 seconds. What is the scuba diver's rate of change (include the units)?
Find slope(Rate of Change)

Answers

Answer:

3 feet  per second

Step-by-step explanation:

The rate of change is:

m = the change in depth / the change in time =      (120 - 30) / (40 - 10) =      90 / 30 =      3 feet/second

Take 2 points

(10,30)(40,120)

Rate of change=Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{120-30}{40-10}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{90}{30}[/tex]

[tex]\\ \rm\hookrightarrow m=3ft/s[/tex]

The function that assigns every positive three- digit integer the difference between the largest and the smallest digits. State the number of elements in the Domain and Range for this part.

Answers

77777

77777

77777

77777

77777

A family goes to a theme park. The two grandparents pay 1/3
of the full entrance price. The two parents pay full price and the three children pay half price. A full price tickst costs £5.70. How much was the total cost of admission for the family?​

Answers

grandparents ticket each: £1.90 x 2 = £3.80
parents ticket each: £5.70 x 2 = £11.40
children ticket each: £2.85 x 3 = £8.55
total: £23.75
1/3 x 5.70 = £1.90 (what a grandparent payed)

£1.90 x 2 = £3.80 (the cost for both grandparents)

5.70/2 = £2.85 (what one child payed)

2.85 x 3 = £8.55 (the cost for all three children)

5.70 x 2 = £11.40 (the cost for both parents)

Add them all up

3.80 + 8.55 + 11.40

= £23.75 for the whole family

Srudy the picture. The angles of the triangle have been rearranged. How does this prove that the angles of the triangle add up to 180°?​

Answers

Answer:

all 3 angles make 1 straight line

a straight line is a 180 degrees

Step-by-step explanation:

hey can someone help me with this Pleas and thank you, :)

Answers

Step-by-step explanation:

cube b side = 2*4=8 cm

cube a volume = 64 cm^3

cube b volume = 512 cm^3

The quotient of two numbers is 3 their difference is 8 what are the two numbers

Answers

Answer:

x = 12, y = 4

Step-by-step explanation:

x / y = 3

x - y = 8

Or

12 / 4 = 3

12 - 3 = 8

Abigail and her mom want to make matching pairs of polka-dotted pajama pants. So, they go to the craft store to pick out fabric. Abigail needs 4 feet of fabric for her pajamas, and her mom needs 6 feet of fabric. But, the store only sells fabric by the yard. If they buy 4 yards of fabric, how many feet will be leftover?

Answers

Answer: 2 feet

Explanation: A yard is 3 feet.
4 feet for Abigail and 6 for her mother makes 10 feet in total.
4 yards x 3 (to convert to feet, every yard is 3 feet, so you multiply) equals 12 feet.
12 - 10 is 2.

Jo bought 5 lb potatoes for 2.89 a loaf of bread for 1.79 and a can of soup for 1.63 she gave the clerk 10 dollars how much should she get back

it should be easy but i just forgot how to get thhe awnser

Answers

Answer:

$3.69 in change

Step-by-step explanation:

10-2.89-1.79-1.63=3.69

Answer : 3.69 Dollars

Explanation : 2.89 + 1.79 + 1.63 = 6.31                     10-6.31 = 3.69

YusuCr

Katie swims laps in a pool shaped like a rectangular prism.

The pool has a width of x feet. The length of the pool is 2 feet more than the width. The depth of the pool is 4 feet less than twice the width.

Given the pool's volume in cubic feet is 24 times its width in linear feet, what is the depth of the pool?

Enter your answer in the box.

Answers

Answer:

C.

Step-by-step explanation:

Length (l)= 5 ft.

Width (w)= 4 ft.

Height (h)= 2 ft.

please help i need two people to answer so i can award brainliest

Answers

Answer:

64 cookies are left to bake

Step-by-step explanation:

HELP ME IM GOING TI FAIL IF YALL DINT HELP ME PLSSS!!!

Answers

Answer:

523.33375 cubic feet

The value of a is the value of 3x2 - 4x - 3 when x = -2. Find the value of 3a - 3. ​

Answers

Step-by-step explanation:

put the value of x in equation and you get the answer

then put value of a on 3a-3

Some one please help me

Answers

Initially we can display the ratio as:

72:36.

Both numbers are divisible by 36 as that is your highest common factor for both.

72/36 = 2
36/36 = 1

After simplification, we get the answer of 2:1

Solve the equation for x
-4x– 1 = 5^x+ 4
=

Answers

the answer.. .... is

= - 1.28

Solve for m. 34m>−12 m>−16 m<−16 m>−9 m<−9

Answers

Answer:

-17m/-6 , 4m/3

Step-by-step explanation:

Im not sure what the question is regarding but if its what im doing in school now that is the answer

A number p has exactly 12 factors. Two of the factors are 4 and 15. Find the value of p

Answers

Answer:

p=60

Step-by-step explanation:

it is divisible by

1

60

20

3

4

15

2

30

12

5

6

10

Mathematics.................

Answers

Answer:

this Is 3 and the second one is also 3

1/2 of 6 is 5.5

6 x 1/2 = 9

This might not be accurate. I understand the question, but at the same time I don't. Sorry.

I WILL GIVE BRANLIEST AND FIVE STAR AND HEART ANDD LOTS OF POINTS
(if answered correctly)

Answers

Answer:

54 units²

Step-by-step explanation:

The area of the entire square is 81 units^2 (9*(5+4))

The bottom-left triangle has an area of 6 units^2 ((4*3)/2)

The bottom-right triangle has an area of 10 units^2 ((5*4)/2)

81-(6+10)=65

please help with this

Answers

Answer:

[tex]7\sqrt{3} +12\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{12} -\sqrt{18} +3\sqrt{50} +\sqrt{75}[/tex]

[tex]\implies \sqrt{4\times3} -\sqrt{9\times2} +3\sqrt{25\times2} +\sqrt{25\times3}[/tex]

[tex]\implies \sqrt{4}\sqrt{3} -\sqrt{9}\sqrt{2} +3\sqrt{25}\sqrt{2} +\sqrt{25}\sqrt{3}[/tex]

[tex]\implies 2\sqrt{3} -3\sqrt{2} +3(5)\sqrt{2} +5\sqrt{3}[/tex]

[tex]\implies 2\sqrt{3} -3\sqrt{2} +15\sqrt{2} +5\sqrt{3}[/tex]

[tex]\implies 2\sqrt{3} +5\sqrt{3} +15\sqrt{2} -3\sqrt{2}[/tex]

[tex]\implies 7\sqrt{3} +12\sqrt{2}[/tex]

850 tickets were sold for a game for a total of $1,487.50. If adult tickets sold for $2.00 and children's tickets sold
for $1.50, how many of each kind of ticket were sold?
They sold_____
adult tickets and_____
children's tickets.

Answers

425 adult tickets and 425 children’s tickets
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