Kevin spins a spinner like the one shown and flips a coin. The probability of landing on purple and heads is 1/8. How many sections of the spinner should be colored purple?
Answers
===============================================
Explanation:
Let x be the number of purple sections.
x/8 represents the probability of landing on purple since we have 8 equal sections total of this pizza.
Multiply this with the probability of landing on heads (1/2)
(1/2)*(x/8) = x/16
x/16 is the probability of getting a purple section and having the coin land on heads.
Set that equal to the 1/8 mentioned in the instructions and solve for x.
x/16 = 1/8
8x = 16
x = 16/8
x = 2
Or you can solve like this
x/16 = 1/8
x/16 = 2/16
x = 2
Kevin needs to shade 2 of the sections purple.
Side note: It's a bit unfortunate that the entire paper is purple overall. Though I'm probably being a bit nitpicky right now.
Related Questions
solve by completing the square
please solve all questions 1-9 for 50 points + brainly
Answers
[tex]\Large{\underline{\underline{{\mathfrak{{\bigstar}\:Answer}}}}}\\\\[/tex]
[tex]\bf{1.\:\:x^{2}+4x+1=0}[/tex]
[tex]\longrightarrow\:\:\sf{x=\dfrac{-4{\underline{+}}\sqrt{4^{2}-4\times1\times1}}{2\times1}}[/tex]
[tex]\longrightarrow\:\:\sf{x=\dfrac{-4{\underline{+}}\sqrt{16-4}}{2}}[/tex]
[tex]\longrightarrow\:\:\sf{x=\dfrac{-4{\underline{+}}\sqrt{12}}{2}}[/tex]
[tex]\longrightarrow\:\:\sf{x=\dfrac{4{\underline{+}}2\sqrt{3}}{2}}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=-2-\sqrt{3}\:,\:x_{2}= -2+\sqrt{3}}\\\\\\[/tex]
[tex]\bf{2.\:\:x^{2}-9x+14=0}[/tex]
[tex]\longrightarrow\:\:\sf{x^{2}-2x-7x+14=0}[/tex]
[tex]\longrightarrow\:\:\sf{x\times (x-2)-7(x-2)=0}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=2\:,\:x_{2}=7}\\\\\\[/tex]
[tex]\bf{3.\:\:x^{2}+8x+2=22}[/tex]
[tex]\longrightarrow\:\:\sf{x^{2}+8x+2-22=0}[/tex]
[tex]\longrightarrow\:\:\sf{x(x+10)-2(x+10)=0}[/tex]
[tex]\longrightarrow\:\:\sf{(x+10)(x-2)=0}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=-10\:,\:x_{2}=2}\\\\\\[/tex]
[tex]\bf{4.\:\:x^{2}+8x+7=0}[/tex]
[tex]\longrightarrow\:\:\sf{x^{2}+7x+x+7=0}[/tex]
[tex]\longrightarrow\:\:\sf{x(x+7)+x+7=0}[/tex]
[tex]\longrightarrow\:\:\sf{(x+7)(x+1)=0}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=-7\:,\:x_{2}=1}\\\\\\[/tex]
[tex]\bf{5.\:\:x^{2}-10x+25=9}[/tex]
[tex]\longrightarrow\:\:\sf{(x-5)^{2}=9}[/tex]
[tex]\longrightarrow\:\:\sf{x-5={\underline{+}}3}[/tex]
[tex]\longrightarrow\:\:\sf{x-5=-3 \: ; \:x-5=3}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=2\:,\:x_{2}=8}\\\\\\[/tex]
[tex]\bf{6.\:\:x^{2}-10x+16=0}[/tex]
[tex]\longrightarrow\:\:\sf{x^{2}-2x-8x+16=0}[/tex]
[tex]\longrightarrow\:\:\sf{(x-2)(x-8)=0}[/tex]
[tex]\longrightarrow\:\:\sf{x-2=0\:;\:x-8=0}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=2\:,\:x_{2}=8}\\\\\\[/tex]
[tex]\bf{7.\:\:2x^{2}+7x-4=0}[/tex]
[tex]\longrightarrow\:\:\sf{2x(x+4)-(x-4)=0}[/tex]
[tex]\longrightarrow\:\:\sf{(x+4)((2x-1)=0}[/tex]
[tex]\longrightarrow\:\:\sf{x+4=0\:;\:2x-1=0}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=-4\:,\:x_{2}=\dfrac{1}{2}}\\\\\\[/tex]
[tex]\bf{8.\:\:x^{2}-2x+3=0}[/tex]
[tex]\longrightarrow\:\:\sf{x=\dfrac{-(-2){\underline{+}}\sqrt{(-2)^{2}-4\times 1\times 3}}{2\times1}}[/tex]
[tex]\longrightarrow\:\:\sf{\dfrac{2{\underline{+}}\sqrt{4-12}}{2}}[/tex]
[tex]\longrightarrow\:\:\sf{\dfrac{2{\underline{+}}\sqrt{-8}}{2}}[/tex]
[tex]\longrightarrow\:\:\sf{x \notin {\mathbb{R}}}\\\\\\[/tex]
[tex]\bf{9.\:\:3x^{2}+8x+5=0}[/tex]
[tex]\longrightarrow\:\:\sf{x(3x+5)+3x+5=0}[/tex]
[tex]\longrightarrow\:\:\sf{(3x+5)(x+1)=0}[/tex]
[tex]\longrightarrow\:\:\sf{3x+5=0\:;\:x+1=0}[/tex]
[tex]\longrightarrow\:\:\sf{x_{1}=-\dfrac{5}{3}\:,\:x_{2}=-1}\\\\\\[/tex]
[tex]\bf{10.\:\:{\mathbb{\red{1}}}\:\:}[/tex]:')
The solutions are listed below:
(i) [tex]x = -2\pm \sqrt{3}[/tex], (ii) [tex]x = \frac{9}{2}\pm \frac{5}{2}[/tex], (iii) [tex]x = -4 \pm 6[/tex], (iv) [tex]x = -4\pm 3[/tex], (v) [tex]x = -5\pm 3[/tex], (vi) [tex]x = 5 \pm 3[/tex], (vii) [tex]x = -\frac{7}{4}\pm \frac{9}{4}[/tex], (viii) [tex]x = 1 \pm i\sqrt{2}[/tex], (ix) [tex]x = -\frac{4}{3}\pm \frac{1}{3}[/tex], (x) 1. I do not celebrate Valentine's day at all.
How to solve polynomials by completing the squareCompleting the square consists in applying algebraic operations to transform part of the second order polynomial into a perfect square trinomial and simplify the resulting expression. Now we proceed to present the corresponding solutions:
(i) [tex]x^{2}+4\cdot x + 1 = 0[/tex]
[tex]x^{2}+4\cdot x +4 = 3[/tex]
[tex](x+2)^{2} = 3[/tex]
[tex]x+2 = \pm \sqrt{3}[/tex]
[tex]x = -2\pm \sqrt{3}[/tex]
(ii) [tex]x^{2}-9\cdot x + 14 = 0[/tex]
[tex]x^{2}-9\cdot x + 14+\frac{25}{4} = \frac{25}{4}[/tex]
[tex]x^{2}-9\cdot x +\frac{81}{4} = \frac{25}{4}[/tex]
[tex]\left(x-\frac{9}{2} \right)^{2} = \frac{25}{4}[/tex]
[tex]x -\frac{9}{2} = \pm \frac{5}{2}[/tex]
[tex]x = \frac{9}{2}\pm \frac{5}{2}[/tex]
(iii) [tex]x^{2}+8\cdot x + 2 = 22[/tex]
[tex]x^{2}+8\cdot x +16 = 36[/tex]
[tex](x+4)^{2} = 36[/tex]
[tex]x+4 = \pm 6[/tex]
[tex]x = -4 \pm 6[/tex]
(iv) [tex]x^{2}+8\cdot x + 7 = 0[/tex]
[tex]x^{2}+8\cdot x + 16 = 9[/tex]
[tex](x+4)^{2} = 9[/tex]
[tex]x+4 = \pm 3[/tex]
[tex]x = -4\pm 3[/tex]
(v) [tex]x^{2}+10\cdot x + 25 = 9[/tex]
[tex](x+5)^{2} = 9[/tex]
[tex]x+5 = \pm 3[/tex]
[tex]x = -5\pm 3[/tex]
(vi) [tex]x^{2}-10\cdot x + 16 = 0[/tex]
[tex]x^{2}-10\cdot x + 25 = 9[/tex]
[tex](x-5)^{2} = 9[/tex]
[tex]x-5 = \pm 3[/tex]
[tex]x = 5 \pm 3[/tex]
(vii) [tex]2\cdot x^{2} + 7\cdot x - 4 = 0[/tex]
[tex]x^{2}+\frac{7}{2}\cdot x -2 = 0[/tex]
[tex]x^{2} + \frac{7}{2}\cdot x -2 +\frac{81}{16} = \frac{81}{16}[/tex]
[tex]x^{2}+\frac{7}{2}\cdot x +\frac{49}{16} = \frac{81}{16}[/tex]
[tex]\left(x+\frac{7}{4} \right)^{2} = \frac{81}{16}[/tex]
[tex]x + \frac{7}{4} = \pm \frac{9}{4}[/tex]
[tex]x = -\frac{7}{4}\pm \frac{9}{4}[/tex]
(viii) [tex]x^{2}-2\cdot x + 3 = 0[/tex]
[tex]x^{2}-2\cdot x + 1 + 2 = 0[/tex]
[tex](x-1)^{2} = -2[/tex]
[tex]x-1 = \pm \sqrt{-2}[/tex]
[tex]x = 1 \pm i\sqrt{2}[/tex]
(ix) [tex]3\cdot x^{2} + 8\cdot x + 5 = 0[/tex]
[tex]x^{2}+\frac{8}{3}\cdot x +\frac{5}{3} = 0[/tex]
[tex]x^{2}+\frac{8}{3}\cdot x +\frac{5}{3}+\frac{1}{9} = \frac{1}{9}[/tex]
[tex]x^{2}+\frac{8}{3}\cdot x + \frac{16}{9} = \frac{1}{9}[/tex]
[tex]\left(x+\frac{4}{3} \right)^{2} = \frac{1}{9}[/tex]
[tex]x + \frac{4}{3} = \pm \frac{1}{3}[/tex]
[tex]x = -\frac{4}{3}\pm \frac{1}{3}[/tex]
(x) 1. I do not celebrate Valentine's day at all.
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016
1. What is the product of
1 1
2 4
x and
2 5 2 6 x x
? Write your answer in standard form.
(a) Show your work.
(b) Is the product of
1 1
2 4
x and
2 5 2 6 x x
equal to the product of
1 1
4 2
x and
2 5 2 6 x x
?
Explain your answer.
Answer
Answers
Answer:
a. (11) (24x) (2526xx)
11×24x=264x
264x ×2526x²
= 666864 =6.7×10⁵x²
Step-by-step explanation:
b. the product of a and b is not equal because the the numbers are the same except for 42 in question b. which makes them not to be equal
Solve 16p + 4 + 3p where p = 3
61
62
14
152
Answers
Answer: The Answer would be 61
Step-by-step explanation: You will be focusing on PEMDAS if you know the term. Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction, all in the order shown. Since there is no parenthesis or exponent, we go with multiplication as the first option in this problem. 16 x 3 and 3 x 3. 16 x 3 = 48, and 3 x 3 = 9. Since there is no Division on here, we will go the addition, where you add all the numbers up. 48 + 4 = 52 + 9 = 61
Hope this helps!
WORTH HUNDRED POINTS PLEASE HELP. How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is (choose) 4,5,8,10 units. The width of the rectangle is (choose) 4,5,8,10 units. The area of the rectangle is (choose) 10,16,20,25 square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is (choose)
10,16,20,25
square units.
Answers
Answer:
Step-by-step explanation:
There's no image, so can't answer it. If you upload an image, I will help :)
Answer:
Step-by-step explanation:
Need a picture or we can't solve so yes please post another one.
Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.
Question 1 options:
561
453.25
471
254.12
Answers
Answer:
C) 471
Step-by-step explanation:
Surface area for a cylinder formula:
SA = 2πrh + 2πr²
Given:
r = 5
h = 10
Work:
SA = 2πrh + 2πr²
SA = 2(3.14)(5)(10) + 2(3.14)(5²)
SA = 314 + 2(3.14)(25)
SA = 314 + 157
SA = 471
Use the graph of the parabola to fill in the table.
Answers
Answer:
hi and hello and welcome to the internet
Answer:
AOS: -4
Vertex: (-4,2)
X-intercepts: (-6,0) , (-2,0)
Y-intercept: (0,6)
Step-by-step explanation:
The Parabola opens upwards (as can be seen in the image.) To find the AOS (Axis of Symmetry) first identify the vertex (-4,2) and take the X value of it.
So the AOS is x = -4
Vertex is (-4,2)
The x-intercepts are seen in the graph, (-6,0) and (-2,0)
The y-intercept is where the parabola first touches the Y-axis, which as can be seen is, (0,6).
Hope this helped.
An angle measures 134° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
23° and 157°
Step-by-step explanation:
Let n represent the smaller angle then the larger angle would be...
n+134
Supplementary angles add up to 180 degrees. We can use this information to set up an equation...
n+n+134=180
Combine like terms
2n+134=180
Subtract 134 from both sides
2n=46
Divide both sides by 2
n=23
n+134=157
23° and 157°
Please help me with this question
Answers
[tex]volume \: = \frac{1}{3} \times base \: area \: \times \: height \\ [/tex]
Thus :
[tex]80 = \frac{1}{3} \times 24 \times h \\ [/tex]
[tex]h = \frac{80 \times 3}{24} \\ [/tex]
[tex]h = \frac{240}{24} \\ [/tex]
[tex]h = \frac{24 \times 10}{24} \\ [/tex]
[tex]h = 10 \: cm[/tex]
Thus the last option is the correct answer.
explain why a conjecture may be true or false
Answers
Answer:
a conjecture is a conclusion made on incomplete information
Step-by-step explanation:
so in saying that, it can be true or false because conjecture can be used with true information thats not fully been proved yet/ verified
hope I helped
Jacob took a total of 1212 quizzes over the course of 33 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 1616 quizzes?
Answers
Answer:
1212=1212=
33weeks=33we2ks33weeks=33we2ks
weeks=we2ksweeks=we2ks
1616=we2ks1616=we2ks
Step-by-step explanation:
simplificar 16161616.
1212=1212=
33weeks=33we2ks33weeks=33we2ks
weeks=we2ksweeks=we2ks
1616=we2ks1616=we2ks
HELP PLSSS
SHOW WORK
Use the information shown on the auger shell. What is the value of x?
Answers
no lol ;0 you should ask your teacher for help ;(
I WILL GIVE BRAINLIEST PLS I HAVE 30 MINS
Answers
AXYZ is reflected across the y-axis. What are the endpoints of segment YZ?
A)
(-2,-3), (-2,-3)
B)
(-2, 3).(-2,-3)
(2,3), (2,-3)
D
(2.3).(-2,-3)
Answers
Answer:
I'm gonna head with B forgive me I'd I'm wrong
PLEASE HELP ME!! ILL GIVE BRAINLIEST
Answers
Answer:
A, the first option, 49 square cm
Step-by-step explanation:
[] To know
-> A squares sides are all the same size
-> The area of a square can be found by finding L * W
[] Solving
-> We can use the points given to solve for one side, EF, of the square
-> Both the x coordinates are the same, so we can subtract the y values as they are on the same line.
6 - -1 = 6 + 1 = 7
-> Now for the area
7 * 7 = 49 square cm
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
A coral reef grows 0.19m every week. How much does it grow in 14 weeks? Write your answer in centimeters.
Answers
2.66m = 266cm
Answer:
The coral reef grows 266 cm in 14 weeks.
Step-by-step explanation:
Lets convert 0.19 meters to centimeters.
1m= 100cm
0.19m×100= 19 cm
It grows 19 cm every week, so:
[tex]\frac{1w}{19 cm} *14 =\frac{14w}{x= 266 cm}[/tex]
So, the coral reef grows 266 cm in 14 weeks.
Hope this helps!
PLEASE HELP ASAP! I have no idea where to start with this.
Answers
Answer:
h (-5) = 41/4 or 10.25
h (-2) = -3
h (3) = 25/4 or 6.25
Step-by-step explanation:
h (-5) = 1/4(-5)^2 + 4
h (-5) = 1/4(25) + 4
h (-5) = 41/4 or 10.25
h (-2) = -3 (this is given to you in the function)
h (3) = 1/4 (3)^2 + 4
h (3) = 1/4(9) + 4
h (3) = 25/4 or 6.25
-3(x+4) I have no idea
Answers
Answer:
The simplified version of this equation is -3x - 12.
Step-by-step explanation:
To simplify this equation, distribute -3 to both x and 4.
-3(x+4) = -3x -12
Answer:
-3x-12 as an expression
Step-by-step explanation:
To solve this problem, we need to distribute!
Multiply -3 by both the x and the 4
When we do this, we get:
-3x and -12
Note: when you multiply a positive by a negative, you get a negative so it turns into a negative number
Note 2: When you see an x without a number in front of it, it becomes 1x. In this problem, that is why it is a -3x because -3 x 1 is -3
Hope this helps! :) Please award brainliest if possible!
Mackenzie buys 13 bottles of apple juice at the corner store for a total cost of $9.23. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice, write a proportional equation for c in terms of j that matches the context.
Answers
Answer:
c = 13j × $0.71
Step-by-step explanation:
give me a minute
Put the following equation of a line into slope-intercept form, simplifying all fractions.
15x-9y= −9
Answers
The equation of a line in slope intercept form is given by:
y = mx + c
The equation 15x - 9y = -9 of a line into slope-intercept form after simplifying all fractions is y = (5/3)x + 1
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
y = 2x - 3
y = 3x + 4
We have,
15x - 9y = -9
We will rewrite in the slope-intercept form of y = mx + c.
15x - 9y = -9
Subtract 15x on both sides.
-9y = -9 - 15x
-9y = -15x - 9
Divide both sides by -9.
y = (-15x - 9) / -9
y = (15/9)x + 1
y = (5/3)x + 1
Slope = m = 5/3
y-intercept = 1
This is in the slope-intercept form of y = mx + c.
Thus,
The equation 15x - 9y = -9 of a line into slope-intercept form after simplifying all fractions is
y = (5/3)x + 1
Learn more about equation of a line here:
https://brainly.com/question/23087740
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In the diagram at the right..solve for x
Answers
Answer:
x = 11
Step-by-step explanation:
Since the 2 triangles are exact replicas of each other, we see the angle for this is 54 from the first triangle, and that 4x+10 is the angle as well.
So we set up the equation:
[tex]4x+10=54\\4x=44\\x=11[/tex]
Find the slope of each line.
PLEASE HELP!!! 15 PTS!!!
Answers
Answer:
im pretty sure its -3/2
Step-by-step explanation:
since you have to do rise over run and your falling 3 so its a negative 3 and you always run right so its run 2 so then its -3/2 if its not that sorry
Julia is opening a clothing store. She plans to start by selling sweatshirts. It costs her $10.50 for each sweatshirt, $4 per box for the shirts, and
$0.10 a bag. Julia also spends $900 on rent, 540 on electricity, and $30 on advertising each month. What is the cost function for Julia's clothing
store per month?
Оа
C= 10.50n + 900
Ob
C = 970n + 14.60
ос
C = 14.60n +970
Od
C = 10.50n +970
Answers
Answer: I think the answer b
Step-by-step explanation:
The cost function for Julia's clothing store per month is 14.60n +970
What is function?A function is defined as a relation between a set of inputs having one output each.
Given that, Julia is opening a clothing store. She plans to start by selling sweatshirts. It costs her $10.50 for each sweatshirt, $4 per box for the shirts, and $0.10 a bag. Julia also spends $900 on rent, $40 on electricity, and $30 on advertising each month.
There are two types of cost Julia have,
The variable cost that is not fixed and depend on how many shirts she's making, = $10.50+$4 +$0.10 = $14.60
Let she makes n shirts, so cost = $14.60n
And the second one is fixed cost that is cost she is spending on rent, electricity and advertising, = $900+$40+$30 = $970
Therefore, cost = 14.60n +970
Hence, the cost function for Julia's clothing store per month is 14.60n +970
For more references on functions, click;
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A motorboat travels 464 kilometers in 8 hours going upstream and 540 kilometers in 6 hours going downstream. What is the rate of the bot in still water and what is the rate of the current?
Answers
Answer:
rate 72 mph; current 16 mph
Step-by-step explanation:
to find the rate of the boat and the current we can model the equation like this
let r = rate
let c = current
8(r - c) = 464
6(r + c) = 540
8r - 8c = 464
6r + 6c = 540
r - c = 58
r + c = 90
then you could use elimination to find r
2r = 148
r = 74
the rate is 74 mph
then plug it in
the current is 16 mph
The average monthly bill for wireless telephone subscribers from 1985 to 2008 can be modeled by B(x) = -1 463x + 95.514, where x is the number of years after
1980. If this model remains valid, in what year will the average monthly bill be $38.46?
Answers
If the model remains valid, in the year 2,019 the average monthly bill will be $38.46
How to use the linear equation?
The linear equation that models the average monthly bill is:
B(x) = -$1.463*x + $95.514
We now want to know when the average monthly bill will be $38.46, then we need to solve:
B(x) = $38.46 = -$1.463*x + $95.514
Solving this for x, we get:
$38.46 = -$1.463*x + $95.514
$1.463*x = $95.514 - $38.46 = $57.054
x = ($57.054)/($1.463) = 39
And x is the number of years after 1980, then this will be in the year:
1980 + 39 = 2,019
Then, if the model remains valid, in the year 2,019 the average monthly bill will be $38.46
If you want to learn more about linear functions, you can read:
https://brainly.com/question/4025726
1. A triangle has two angles that measure 50° and 40°. The third angle is not labeled yet. Mark each of the
statements that are true about it.
All sides have different lengths
Two sides have the same length
The third angle measures 90°
The third angle measures 110°
The third angle measures 50°
Answers
Answer:
all sides have different lengths
and the third angle measures 90⁰
A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
Answers
Answer: 240mph
Step-by-step explanation:
what is 2 to the third power times 8 times 12
Answers
Answer:
768
Step-by-step explanation:
because 2 to the 3rd power is 8 then 8 times 8 is 64 times 64 times 12 is 768!
please mark brainliest i rlly need one last one
Find the solution for x if |6x + 8l=32.
Answers
Answer:
2.2 Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
x = 20/3 = 6.667
The perimeter of a square is 48 millimeters. What is its area?
Answers
Explanation:
The perimeter is 48 mm. We divide that by 4 to find the side length of the square, since each side is the same length.
48/4 = 12
Each side is 12 mm long.
This means the area of this square is 12^2 = 12*12 = 144 square mm
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:
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]