The vertices of a triangle are (-1,3) (6,3) and (-1,-4)
Find the area of the triangle
Please show all workings

Answers

Answer 1

Answer:

24.5 unit²

Step-by-step explanation:

Area of ∆

= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |

= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |

= ½ | -7 - 42 |

= ½ | - 49 |

= ½ (49)

= 24.5 unit²

Method 2:

Let the vertices are A, B and C. Using distance formula:

AB = √(-1-6)² + (3-3)² = 7

BC = √(-6-1)² + (-4-3)² = 7√2

AC = √(-1-(-1))² + (4-(-3))² = 7

Semi-perimeter = (7+7+7√2)/2

= (14+7√2)/2

Using herons formula:

Area = √s(s - a)(s - b)(s - c)

here,

s = semi-perimeter = (14 + 7√2)/2

s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2

s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2

s - c = (14+7√2)/2 - 7 = (7 + √2)/2

Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²

Answer 2

Answer:

24.5

Step-by-step explanation:

To find the area with the coordinates provided:

(-1,3), (6,3), (-1,-4)

First we count the units that are inside the triangle which is area.

[tex]\frac{49}{2}[/tex]

So we know that there are [tex]\frac{49}{2}[/tex] units and then we divide 49 by 2 which gets you 24.5.

49 ÷ 2 = 24.5

The answer is 24.5 units.


Related Questions

Round 7 to the nearest 10​

Answers

Answer:

You can't round 7 to the nearest to 10, because there is nothing to round.

Step-by-step explanation:

Edward has $20,000 in a savings account that earns 13% interest per year. The interest is not compounded.How much interest will he earn in 1 year?

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

$

Answers

Answer:

22,600

Step-by-step explanation:

22,600 will be your answer

plz help fast (worth 15 pts) A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 9.4. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)

Answers

Answer:

This is worth more than 15

Step-by-step explanation:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Step-by-step explanation:

Thirty-two is the product of nine and a number decreased by four

Answers

Answer:

28

Step-by-step explanation:

32 - 9 = 23,

24 + 4 = 28

Answer:

28, If you need any more help lmk

Step-by-step explanation:

What is the common ratio for geometric sequence: 5,15,45,135 ?​

Answers

Answer:

the common ratio is 3

Step-by-step explanation:

to solve for the common ratio, I like to take the second term and divide it by the first term

15/5 = 3

then I will check the rest of the terms

15*3 = 45

45*3 = 135

It looks like the common ratio is correct!

The probability Bob guesses the winner of a certain baseball game is 4/5. The probability Joe independently guesses the winner of another game is 1/3. What is the probability that exactly one of them selects the winner? (Fraction answer)

Answers

SANA ALL SMART HAHAHAHHAAHHAHAAHA

slope of (0.2,-0.9) (0.5,-0.9) how do i solve this and get the answer

Answers

Step-by-step explanation:

THE SLOPE IS 0

HOPE THIS HELPS

How many halves are equivalent to 4/8

Answers

Answer:

2 :  2/4 and 1/4

Step-by-step explanation:

4/8 can be simplified to 2/4 and then 1/4

5x^3-2x^2+14x+7x^2+3x-11

Answers

if the answer your looking for is a graph then yeah

What is the equation of the line –3x–2y=30 in slope-intercept form?

change the equation to : y = mx + b
Enter your answer in the box.

Answers

Answer:

y=-3/2x-15

Step-by-step explanation:

Question 1
What is the distance between the points (-3, 4) and (5, 4)?
8 units
9 units
7 units
1 unit

Answers

8 units

i’m sorry if it’s wrong but i’m pretty sure it should be right.
I beleieve that it is 8 units

If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips?

Answers

Answer:

i think mr phillip bought more fruit

Step-by-step explanation:

HI THIS IS MY SECOND QUESTION PART 2 TO MY FIRST COULD I PLEASE GET HELP?????>3

Answers

Answer:

6. A

7. C

8. C

9. B

10. D

osjshwjwowi

suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability you choose a white marble? Write this probability as a percent . Use a word or phrase to describe this probability.​

Answers

Answer:

3/25

THERE IS AN 11% CHANCE

can i get brainliest

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

3 is 12% of 25. So you would have a 12 percent chance of getting a white marble.

3 ÷ 25 = 0.12 = 12%

Percent formula

P × V1 = V2

What is 4 1/2 + -17 1/4 it doesn’t have to be simplify xo

Answers

Answer:

-14 3/4

Step-by-step explanation:

i am not super sure about this. the fraction is right though. i hope

The low temperatures on New Year's Day in a city for 5 years are shown below.
2°F, -10°F, 7°F, 4°F, -13°F
Part A
What was the average low temperature on New Year's Day for the 5 years?
A. -2.5°F
C. 0.6°F
B. -2°F
D. 4°F
Part B
If, in the 6th year, the low temperature was 7°F, what was the average low temperature for the 6
years?
A. -0.5°F
C. 0.8°F
B. -0.2°F
D. 1.4°F

Answers

Part A.
Answer: B.-2°F

Part B.
Answer: A. -0.5°F

Answer:

Part A - B. -2F

Part B - A. -0.5F

Step-by-step explanation:

Part A. -

2 + -10 + 7 + 4 + -13 = -10

-10 / 5 = -2

Part B. -

-10 + 7 = -3

-3 / 6 = -0.5

A cheese pizza costs $5, each additional topping is $ 1.25. If x
represents toppings, which equation represents the total cost
of the pizza?

Answers

y=$5+$1.25x

The x goes there because you don’t know the total amount of toppings someone will get. They can get any amount while a cheese pizza is always $5.

Select all the expressions that are equivalent to
1/2(2).

Z+Z

Z/2

Z/Z

1/4 (z)+1/4 (z)

2(z)

Answers

Answer:

Step-by-step explanation:

An ellipse is defined as the locus of all points,the sum of whose from two given points is constant. Here z is a complex number whose distance from (1,0) and (−1,0) is constant. Hence the locus of z is an ellipse in the complex plane. Hence z will be all those points which lies on the ellipse with focus (−1,0) and (1,0).

This Question is confusing the heck out of me can someone help me with it.

Answers

I’m pretty sure it is at 3 seconds because that is the only other time it hits 20. Hope this helps!

Emma has collected information about the cats and dogs that children in her class have as pets
there are 30 pupils total
find the number of children having both cats and dogs as pets
a.4
b.8
c.12
d.16​

Answers

Answer:

c. 12

Step-by-step explanation:

the answer is c.12 due to the table

What is the slope-intercept form of this equation?
8x + y = 12

Answers:
Y= 2/3x + 2
Y= 4/3x + 6
Y= -4/3x + 6
Y= -4/3x + 2

Answers

Answer:

y = -8x + 12

Step-by-step explanation:

Slope intercept form: y = mx + b

m ---> Slope   & b ----> y-intercept

8x + y = 12

Subtract 8x from both sides

y = -8x + 12

How do you graph a quadratic function?

Answers

Answer:

Step-by-step explanation:

Compare the equation with the standard form, y=ax2+bx+c . Since the value of a is positive, the parabola opens up.

So, y=0 implies, by the zero product property, x+4=0 or x−2=0 .

Substitute x=−1 in the equation y=−x2−2x+8 to find the y -coordinate of the vertex.

Find the circumference of a circle rounded to the nearest tenth with a
diameter of 4 inches

Answers

Answer:

12.6

Step-by-step explanation:

Circumference is πd. So...

(3.14*4)

12.56

12.6

Hope this helps and have a nice day ~(^_^)~

PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE

Answers

Answer:

x = 24

Step-by-step explanation:

What I would do is use inverse operation. First do -8 x -3 = 24. Then check your work by doing 24 divided by -3 = -8. So x = 24. I am 100% sure this is correct

Pls mark me brainliest

50 POINTS! false answers will be reported and u wont get points

Can a solution to this equation be 3, because then both sides would have divide by 0?

Answers

Answer:

Step-by-step explanation:

If we multiply x - 7 by x - 3, we get x^2 - 10x + 21.  This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3).  Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.

Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.

Similarly, we get 5(x - 7) over x^2 - 10x + 21.

Now all three of the original fractions have the same denominator, x^2 - 10x + 21.  We can now "drop" the LCD, which leaves us with:

x^2 - 29 = 6(x - 3) + 5(x - 7)  

                                                             

Performing the indicated multiplications, we get:

x^2 - 29 = 6x - 18 + 5x - 35.  Combining like terms:

x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0

This factors as follows:   x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0

Then the preliminary solutions are x = 3 and x = 8.  Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero.  The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.

Repeat:  3 cannot be a solution because the 3rd fraction is undefined at

x = 3.  So we have only one valid solution (8) with no other solution to multiply by 8.

Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.

help plz im confused

Answers

Answer:

x = 16

Step-by-step explanation:

Δ ABC and Δ ADE are similar , thus the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{BC}{DE}[/tex] , substitute values

[tex]\frac{x}{x+6}[/tex] = [tex]\frac{8}{11}[/tex] ( cross- multiply )

11x = 8(x + 6)

11x = 8x + 48 ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

what is 5.52×0.25 explain​

Answers

Answer: 1.38

Step-by-step explanation:

552

x 25

02760

11040

02760+11040=13800.

then you put your decimal over 4 spots and you take the 2 zeros off the end and get your answer of

1.38

If f(x) = x3 + 4, then what is the remainder when f(x) is divided by x + 6?


Pls help

Answers

8 yeah yeah yeah your welcome

Plzzz help I don’t understandddddd

Answers

Answer:

k = -10.5

Step-by-step explanation:

k + 7.5 = -13

Subtract 7.5 from both sides

k + 7.5 - 7.5 = -13 - 7.5

            k = -20.5

which expression represents 2 more than the product 5 and 4.
A. (5+4)×2
B. (5×4)+2
C. 2+(5+4)
D.2×(5×4)​

Answers

B
the product is (5x4)
and adding 2 is two more than the product

Answer:

i think it's B. (5 x 4) + 2

Step-by-step explanation:

pls give brainly crown

and if i'm wrong i'm sooooo sorry

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