Find the area, in square units, of triangle ABC plotted below.

Find The Area, In Square Units, Of Triangle ABC Plotted Below.

Answers

Answer 1

Answer:

Area of ΔABC = 10 square units

Step-by-step explanation:

Distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Length of AB = [tex]\sqrt{(-4-2)^2+(-6+8)^2}[/tex]

                      = [tex]\sqrt{36+4}[/tex]

                      = [tex]2\sqrt{10}[/tex]

Length of CD = [tex]\sqrt{(-6+7)^2+(-2+5)^2}[/tex]

                      = [tex]\sqrt{1+9}[/tex]

                      = [tex]\sqrt{10}[/tex]

Area of a triangle ABC will be represented by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

        = [tex]\frac{1}{2}(AB)(CD)[/tex]

        = [tex]\frac{1}{2}(2\sqrt{10})(\sqrt{10})[/tex]

        = 10 square units

Answer 2

Answer:

10 square units

Step-by-step explanation:

Find The Area, In Square Units, Of Triangle ABC Plotted Below.

Related Questions

simplifying radicals pt.4 please help ASAP and explain if possible

Answers

Answer:

whats 10 +78*5-9 divide by 6 nd i give yu yo answer nd ik the answer to the question i gave yu !

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{98}[/tex] = [tex]\sqrt{49(2)}[/tex] = [tex]\sqrt{49}[/tex] × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex]

[tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

Thus

3[tex]\sqrt{98}[/tex] + [tex]\sqrt{32}[/tex]

= 3(7[tex]\sqrt{2}[/tex] ) + 4[tex]\sqrt{2}[/tex]

= 21[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex]

= 25[tex]\sqrt{2}[/tex]

What is the vertex form of the function y = x2 + 8x – 3

Answers

the answer would be




y=(x+4)^2−19

Answer:

the answer is y=(×+4)^2 -19

Given f(x) = 3x – 2 what is f (2x)?

Answers

Answer:

6x - 2

Step-by-step explanation:

f(2x) = 3(2x) - 2

f(2x) = 6x - 2

Answer:

I think it is   ---->  m = 3

Step-by-step explanation:

Pls answer
(5x+7) (8x-7) solve for x

Answers

Answer:

where is the =...........

Answer: 40x2+21x−49

Step-by-step explanation:

what is the value of x when
5x+20=6x+35

Answers

Answer:

x=15 or 15=x hope this helps

5x+20=6x+35
5x=6x+15
-1x=15
X=-15

which statement is true and represent the correct form of scientific notation
A. 5.3 x [tex]10^{-2}[/tex] = -0.053
B. 2 x [tex]10^{4}[/tex] < 20,000
C.-74.308 < -0.74 x [tex]10^{3}[/tex]
D. 12,000,000 = 1.2 x [tex]10^{7}[/tex]

Answers

Step-by-step explanation:

let express them in the same form

5.3*1/100=0.053>-0.053 so A is false

2*10^4=2*10000=20,000 is equal to 20,000 so even B is false

-0.74*10^3=-0.74*1000=-740<-74.308 so even C is false

lets see D

1.2*10^7=12*10^6=12*1000000=12,000,000 which is equal to 12,000,000 so D is true

If sample data come from a population that is not normally distributed, which
sample size would be large enough for the sampling distribution to
approximate a normal distribution?
A. 8
O B. 28
C. 18
D. 58

Answers

Answer:

D. 58

Step-by-step explanation:

If the sample size is larger than 30, the sample can be approximated as normally distributed, even if the population it came from isn't.

Answer:

another answer- 32

Step-by-step explanation:

A P E X

If 3x+4=-5, what does x equal to?​

Answers

First subtract 4 from both sides to isolate the 3x.

That leaves us with 3x = -9.

Since x is being multiplied by 3, to get x by itself,

we need to divide both sides of the equation by 3.

So our final answer is x = -3.

Answer:

x = -3

Step-by-step explanation:

3x + 4= -5

Subtract 4 from both sides.

3x = -9

Divide both sides by 3.

x = -3

Steve joins a gym with a first month fee of $50 and $10 every month after that. A. Write a function that shows the amount Rajs has paid after m months.(use f(m) and m in the function) B. How much will he have spent in total after 12 months?​

Answers

f(m)= 10m+50 m equals the amount of months and 50 is the starting value

Michelle has a 1 2/3 pound box of cereal. She wants to make equal servings that completely use all of the cereal. Which of these servings amounts would have no left over cereal?

A. 1/12 lb

B. 1/10 lb

C. 1/8 lb

D. 1/5 lb

Answers

Answer:

A) 1/12 lb.

.. (1 2/3)/20 = 1/20 + (2/3)*(1/20)

.. = 1/20 + 1/30

.. = 3/60 + 2/60

.. = 5/60 = 1/12

PLS HELP ITS VERY EASY!

Answers

Answer:

1. 3 19/24

2. 5 19/45

Step-by-step explanation:

hope this helps! :)

All answers choices are the same please help

Answers

1. alternate Interior angles
2. ?
3. alternate interior angles
4.Alternate exterior angles
5.?
6. alternate exterior angles
(sorry that’s what i know)

Lines e and m are intersected by transversalt and ei m.
e
m
1
3
2.
5
4
7
6
8
If m_2 = 112, what is m_7?

Answers

Iguguoiycticiy 344g is tht

Select three ratios that are equivalent to16:12

Answers

Answer:

256:144

48:36

32:24

:)

Josh is 3 inches taller than his brother
translate the following to mathematical expressions

Answers

Answer:

J=b+3

Step-by-step explanation:

Please help! Will give brailiest!

Answers

B is the answer becuase the slope is -1/4 and the b is +3
The answer is D. Below I have attached my work. Hope this helps!!

percent decrease 95 to 15

Answers

Answer:

84.2105263 % decrease

Step-by-step explanation:

Take the original and subtract the new

95-15 = 80

Divide by the original

80/95

.842105263

Change to percent form

84.2105263 % decrease

Need help ASAP plzzz and thank you :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

to get the exponent number, you count however many times the number is being multiple by itself

Read the question and let me know if I got it right please.​

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yup its correct

Step-by-step explanation:

Midpoint of (-7,-14) and (-13,-6)

Answers

(-10,-10)


Pls Mark brainliest

Simplify: (-2x)4 help me with this!

Answers

Expand (-2x)^4

(-2)^4 x^4

-2^4= 16

=16x^4

Hope this helps

The simplification of the given equation [tex](-2x)^4[/tex] is [tex]16 * x^4[/tex].

Exponents are mathematical notation used to indicate repeated multiplication of a number or expression by itself.

They are written as superscript numbers or symbols placed to the right and slightly above the base number or expression.

To simplify (-2x)^4, you can apply the power rule for exponents.

(-2x)^4 can be expanded as follows:

(-2x)^4 = (-2)^4 * x^4

Now, evaluate the exponent of the base -2 and x:

(-2)^4 = 16

Thus, the simplified expression is: [tex](-2x)^4 = 16 * x^4[/tex]

For more details regarding exponents, visit:

https://brainly.com/question/5497425

#SPJ6

3/4x + 2/5 = 4x - 1/4x

Answers

Answer: x=2/15

Ya I think so.

Answer:

4/45 = x

Step-by-step explanation:

Strongly suggest that you enclose the fractional coefficients inside parentheses to reduce possible ambiguity:

(3/4)x + 2/5 = 4x - (1/4)x

Consolidate the x terms on the right side and leave the 2/5 on the left:

2/5 = (4 - 1/4 + 3/4)x, or

2/5 = (4 1/2)x   or 2/5 = (9/2)x

Solving for x:  Multiply both sides by (2/9):

(2/9)(2/5) = (2/9)(9/2)x, or:

4/45 = x

Note:  please include ALL instructions.

A submarine begins at -212 feet below sea level. If
the submarine plans to descend at 15 feet per minutes,
how long will it take the submarine to reach a depth of
-287 feet?
A. 75 minutes C. 7 minutes
B. 8 minutes D. 5 minutes

Answers

Answer:

Step-by-step explanation:

Ending depth = -287

Starting depth= -212

Difference =      -75 feet

The submarine plans on dropping 15 feet a minute.

Time = displacement / time = -75/-15 = 5 minutes.

Answer: D

Fill in the table with the rule y = 2x-2 X: -3, -2, -1, 0, 1, 2, 3, 4 Y: _, _, _, _, _, _, _, _.​

Answers

Answer:

-8, -6, -4, -2, 0, 2, 4, 6

Step-by-step explanation:

Can someone simplifie the following?

32/45
(4 20/39)
(2 16/145)
(1 25/62)
I'll give Brainliest

Answers

Answer:

32/45

176/39

306/145

87/62

Step-by-step explanation:

did it on my calculator

I need help can someone help me?

Answers

Answer:

I think your answer would be A. He determined that the difference of 6,10, and 14 are increasing by 4 each time. He concludes that the function has a constant rate of change. I hope this helps.

HELP ASAP PLZZZZZ Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction

Answers

Answer:

Distributive Property

Step-by-step explanation:

4(x-6)=5.4x-24

4x-24=5.4x-24

There are 64 trucks and 80 cars in the parking lot what is the ratio of cars and trucks in simplest form

Answers

Answer:

5:4

Step-by-step explanation:

The ratio would be

80:64 since there are 80 cars to 64 trucks.

You can simplify by dividing everything by 16.

5:4

HELP ME ASAP THANK YOU !!

Answers

Answer:

B

Step-by-step explanation:

It is actually A

5-2x=4-2x+4
5=8
but 5 cannot equal 8 therefore there are no solutions

Suppose your purchase school supplies for $20 and lunch meat for $5 at a store sales tax of 6% is added to all non-food items in your state what is the total cost of the items.
A.$1.20
B.$21.20
C.$26.20
D.$22.60

Write a mathematical argument explaining the strategy you used to solve his problem?

Answers

Answer:

c

Step-by-step explanation:

20 +5+6%=26.20

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