The vertices of a triangle are \large A\left(-4,-2\right), \large B\left(1,3\right) and \large C\left(4,-2\right).

Answers

Answer 1

Answer:

[tex]Area = 20[/tex]

Step-by-step explanation:

Given

[tex]\large A\left(-4,-2\right), \large B\left(1,3\right), \large C\left(4,-2\right).[/tex]

Required

The area

The area of a triangle is:

[tex]Area = \frac{1}{2}|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|[/tex]

So, we have:

[tex]Area = \frac{1}{2}|-4(3 - -2) + 1(-2 - -2) + 4(-2 - 3)|[/tex]

[tex]Area = \frac{1}{2}|-4*5 + 1*0 + 4*-5|[/tex]

[tex]Area = \frac{1}{2}|-40|[/tex]

[tex]Area = \frac{1}{2}*40[/tex]

[tex]Area = 20[/tex]


Related Questions

When Zoe was six-year-old Lulu is twice her age Zoe is 10 years old now how old is Lulu

Answers

Answer:

20 years old! Heart it if it was helpful :D

Step-by-step explanation:

Alright! Well Zoe = 6 when Lulu = 12. Zoe is 10 so lulu is now 20.

Answer:

16

Step-by-step explanation:

Write the expression for 2 added to the product of a number p and 43

Answers

Answer:

43p + 2

Step-by-step explanation:

Product of p and 43 = 43p

2 added to the product of p and 43 = 43p + 2

Answer:

Step-by-step explanation:

The product of a number p and 43 means

p * 43 = 43p

And 2 added to the product gives;

43p + 2

However; the expression is 43p + 2.

HELP ASAP !! Which is more, 1 mile or 365 yards?

Answers

Answer:

1 mile is longer than 365 yards

Step-by-step explanation:

there are 1,760 yards in a mile

Hi there!  

»»————- ★ ————-««

I believe your answer is:

One mile.

»»————- ★ ————-««  

Here’s why:  

A mile is 1,760 yards. Since the number of yards given in the question, 365, is less than 1,760, a mile would be more than 365 yards. Side note: 365 yards is about 0.2 of a mile.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

x + 3 > 70

How do I solve this step by step?

Answers

Answer:

x > 67

Step-by-step explanation:

x+3 >70

subtract from each side

x+3-3 > 70 -3

x > 67

Algebra

To solve this, simplify the algebra inequality.

Subtract three from both sides.

x>67

Meaning, x is bigger than 67.

A number between 10 and 100 is 8 times the sum of its digits. If 45 is substracted
from it, the result equals the number formed by interchanging its digit. Find the
number

Answers

Answer:

72

Step-by-step explanation:

Let the number be [tex]xy[/tex]

Value of number = [tex]10x+y[/tex]

[tex]10x+y=8(x+y)[/tex]

[tex]10x+y=8x+8y[/tex]

[tex]2x-7y+0........(1)[/tex]

[tex]10x+y-45=10y+x[/tex]

[tex]9x-9y=45[/tex]

[tex]x-y=5............(2)[/tex]

Multiply by [tex]-2[/tex]

[tex]-2x+2y=-10[/tex]

Add to [tex](1)[/tex]

[tex]-5y=-10[/tex]

[tex]y=2[/tex]

[tex]x-y=5[/tex]

[tex]x-(2)=5[/tex]

[tex]x=7[/tex]

Number = 72

hope this helps...

  indica los monomios semejantes en cada uno de las siguientes series: por favor ayudenmen aaaaaaa D':​

Answers

Answer:

Do you have this in english so that I can help :)

Step-by-step explanation:

I need help with problem.

Answers

Answer:

The measure of DC is 20ft.

Step-by-step explanation:

Because the problem states that BA=AC, AD becomes the bisector of angle BAC. This means that BD and DC must be the same length.

Solve the equation for X. Show all work.
6(-3x - 4) = - 18x + 24

Answers

-12x - 24 = -18x + 24
+24. +24
-12x = -18x + 48
+18x. +18x
6x = 48
/6. /6
X = 8

In a 30-60-90 special right triangle, if long leg is 5√3 then the short leg = ___, and the hypotenuse is ____

Answers

Answer:

short = 5, hypotenuse = 10

Step-by-step explanation:

In a 30-60-90 triangle, the long leg is x√3, the short leg is x, and the hypothenuse is 2x.

As the long leg is 5√3, we can see that x is 5. So, the short leg would be 5 and the hypothenuse would be 2x5, which is 10.

On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58

Answers

9514 1404 393

Answer:

  a = 66

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  a = 180° -114°

  a = 66°

Debbie is making 16 cakes for a large
banquet. The cake recipe calls for 1.5
cups of milk for one cake. How many
quarts of milk should Debbie
purchase at the store to have enough
for all of the cakes?

Answers

Answer:

12 tablespoons

Step-by-step explanation:

because 3/4 of 16 tablespoons is 12

Answer:

6 Quarts of milk!

Step-by-step explanation:

Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)

CD is a perpendicular bisector of chord AB and a chord through CD passes through the center of a circle. Find the diameter of the wheel. a- 14 2/5in b- 10in c- 12 1/5in d- 7 1/5in.

Answers

Answer:

[tex]12\frac{1}{5}[/tex] in

Step-by-step explanation:

That's the correct answer :)

rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5

Answers

Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]

=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]

=2[tex]\sqrt{5}[/tex]

bella is selling jelwery at a craft fair. she made 40 necklaces and selling them for $12 each. how much more money would she make If she sells all $40 necklaces than if only sells 10?

Answers

Answer:

Yeah 10

Step-by-step explanation:

40 will give her more

Use the table to work out the values of
a
,
b
,
c
, and
d
.

x
y
=
2
x
+
4

3

2

2
a

1
2
0
b
1
c
2
d

Answers

Answer:

53thst is the right. answer

1
What is the y-intercept of a line that has a slope of 2 and passes through point (8,3)?
1
3
5
11

Answers

Answer:

the y intercept is -13

Step-by-step explanation:

First of all we need the line equation so let's find it first :

y = mx + b

y = 2x + b

_______________________________

The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :

2(8) + b = 3

16 + b = 3

b = 3 - 16

b = - 13

______________________________

Now we have the equation of the line :

y = 2x - 13

To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :

y = 2(0) - 13

y = 0 - 13

y = - 13

Thus the y-intercept = - 13

Find the distance between the points (-4,-2) and (-10, 6). Write your answer as a whole number or a fully simplified radical expression. Do not round. units​

Answers

Answer is C
hope it helps

Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)

Answers

Answer:  17

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

Work Shown:

a1 = 3 = first term

d = 2 = common difference (since we add 2 to each term to get the next one)

Let's compute the nth term.

an = a1 + (n-1)*d

an = 3 + (n-1)*2

an = 3 + 2n-2

an = 2n+1

-----------------------

To check things so far, we can plug in something like n = 2

an = 2n+1

a2 = 2*2+1

a2 = 5

Showing that the 2nd term is 5, which matches with the sequence given to us

Let's check n = 3

an = 2n+1

a3 = 2*3+1

a3 = 7

That matches as well. I'll let you check the others.

-----------------------

Plug in n = 8 to find the 8th term

an = 2n+1

a8 = 2*8+1

a8 = 17

The eighth term is 17, which is the final answer.

-----------------------

You could extend out the given sequence by adding 2 each time until you reach the 8th term

3,5,7,9,11,13,15,17

Though this method is slow if you need to find say the 38th term

Answer:

17 is the answer for the value of the term in the arithmetic sequence using the above

What is the approximate distance between the swing and the slide?

Answers

Answer:

Distance of slide = 80 feet. Angle between swing and slide = 30 degrees

Kaitlyn, has a job at Pastabilites. Her hourly wage is $6.50 an hour. She receives 9% of the tips on any given night. If she works 7 hours and the restaurant makes $1,342.25 in tips during that time, how much money does she earn?

Answers

Answer:

Step-by-step explanation:

Please evaluate this...
Want it in detail...

Will mark Brainliest for the best answer..

Answers

Step-by-step explanation:

everything can be found in the picture

A circle has a radius of 3 feet. What is the arc length subtended a central angle of 90 degrees?

Answers

Answer:

90 + 3 - 180 = 87

Step-by-step explanation:

I remembered doing a problem like this in Algebra, but i think this is right

Greatest common factor for 30y^4, 6, 14y

Answers

Answer:

2

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

2 * 3 * 5 * y^4

6/2 = 3

3/3 = 1

3 * 2

14/2 = 7

7/7 = 1

2 * 7 * y

Only 2 appears in all the numbers

On a black Friday, Jumia sold a pair of jeans trousers marked N7 000 at a discount of 10%. Find the Discount

Answers

Answer:

[tex]d=N700[/tex]

Step-by-step explanation:

From the question we are told that:

Sale price[tex]n=7000[/tex]

Discount percentage [tex]dp=10 %[/tex]

Generally the equation for discount d is mathematically given by

[tex]d=n*dp[/tex]

[tex]d=7000*\frac{10}{100}[/tex]

[tex]d=N700[/tex]

I really need help do can someone do it step by step so I can understand plzzzz​

Answers

Answer:

4525.2 floz

Step-by-step explanation:

so, we need to calculate the volume of the cylinder.

as with all straight objects, it is simply the base area times is height.

careful - we got the diameter. the radius r is half the diameter. so, r = 20/2 = 10 in

the volume of an object is airways the same, no matter how we orient it. it can be standing up, laying on its side, balancing at an angle, ... - none of that has an impact on the volume (or its surface area).

so, we simply say that the base area is the circle, and we also know the height.

the area of a circle is

Ac = pi×r²

and so, the volume of the cylinder

Vc = pi×r² × height = pi×10² × 26 = pi×2600 =

= 8168.1408993334624201... in³

now, we know that 1 in³ = 0.554 floz

so, now we need to adapt our in³ to floz by using that formula.

be careful with the direction of that adaptation. clearly, 1 floz is more than 1 in³. therefore, the number in floz has to be much smaller than in in³.

so, we know, we multiply our in³ by 0.554.

8168.1408993334624201... × 0.554 =

= 4525.1500582307381807... =

= 4525.2 floz

Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?

Answers

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

SOMEONE PLEASE HELP ME! I AM REALLY BAD AT GEOMETRY!

Answers

Answer:

m∠STQ = 160°

Step-by-step explanation:

Angles diagonal of each other in a parallelogram are equal to each other. Therefore m∠STQ = 160°.

Answer:   160

Reason: Opposite angles of any parallelogram are always congruent.

Can someone help me find the area plz

Answers

Answer:

16.24 yd^2

Step-by-step explanation:

The area is

A = bh

A = 5.6*2.9

A =16.24 yd^2

Answer:

Step-by-step explanation:

90.9

Ill mark you brainlist plz help if you put something random I will report you!

Answers

Answer:

Rate of change=1

Step-by-step explanation:

y2-y1/x2-x1

(2,0), (0,-2)

y2=-2

y1=0

x2=0

x1=2

-2-0/0-2

-2/-2

1

Rate of Change=1

If this helps please mark as brainliest

Answer:

1

Step-by-step explanation:

Choose two points from the graph.

(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)    

Rate of change = Change in y / change in x

     

Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2

Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.

Answers

Answer:

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.

Answer:

yes

Step-by-step explanation:

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