Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)

Find The Area Of The Triangle With Vertices A(-3,2), B(1,-2), And C(1,3)

Answers

Answer 1

Answer:

[tex]A(-3,2)\: B(-1,-2)\: C(1,3)[/tex]

[tex]A=1/2[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

[tex]=1/2[-3(-2-3)(+1(3-2)+1(2-(-2))][/tex]

[tex]=1/2(15+1+4)[/tex]

[tex]=1/2(20)[/tex]

[tex]=10[/tex]

[tex]ANSWER: 10 ~units^{2}[/tex]

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hope it helps...

have a great day!!

Answer 2

The area of triangle with vertices A(-3,2), B(1,-2), and c(1,3) is 12 units^2.

What is area of triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

The green line represents the height of the triangle = 4 units

The red line represents the base of the triangle = 6 units

Area of the triangle = 1/2 x 6 x 4 = 12 units^2

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Find The Area Of The Triangle With Vertices A(-3,2), B(1,-2), And C(1,3)

Related Questions

If each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production

Answers

Answer:

The number of instruments assembled in 7.5 hours are 450 n/t.

Step-by-step explanation:

The number of instruments assembled in t minutes = n

the number of instruments assembled in 1 minute = n / t

Total time = 7.5 hours = 7.5 x 60 = 450 minutes

So, the number of instruments assembled in 450 minutes are

[tex]\frac{n}{t}\times 450\\\\\frac{450 n}{t}[/tex]  

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=x,BC=x+2,AC=14

Answers

Answer:

x=6

Step-by-step explanation:

( x) +(x+2)=14

(2x+2)=14

(2x)=12

x=6

What is the first step in solving the quadratic equation -5x^2+8=133?

taking the square root of both sides of the equation
subtracting 8 from both sides of the equation
squaring both sides of the equation
adding 8 to both sides of the equation

Answers

Answer:

Step-by-step explanation:

-5x²+8=133

-5x²=133-8

-5x²=125

x²=-25 ........... dividing 125 by -5

x=√-25..........Taking square root of -25

x=±5

Hope this might help you...

The first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is -5x²+8=133

Minus five times of x square plus eight equal to one hundred thirty three.

x is the variable in the equation.

We have to solve for x

-5x²+8=133

The first step is to isolate the variable x to do this we have to subtract 8 from both sides

-5x² = 125

Divide both sides by 5

x² = -125/5

x² =-25

Hence,  first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.

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Someone help me with these math problems please
Please

Answers

Answer:

a = 15

34.8 + b = 54.6

Step-by-step explanation:

First one:

5a - 10b = 45  (b = 3)

5a - 10(3) = 45

5a - 30 = 45

5a = 75

a = 15

Second one

b + a + 3a = 54.6

b + 4a = 54.6   ( a = 8.7)

b + 4(8.7) = 54.6

b + 34.8 = 54.6

34.8 + b = 54.6

Answer:

a=15 26.1 + b =54.6

Step-by-step explanation:

for the second question we first multiply 8.7 by 3 which gives us 26.1 and since there is only one answer with 26.1 it's it.


Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ).

Answers

Answer:

2968

Step-by-step explanation:

use the order of operations -5 + 3(7.2 - 3.2)

Answers

Answer:

-5 + 3(7.2 - 3.2) equals 7.

Step-by-step explanation:

The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.

[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]

Please help me with this one I seriously suck at math

Answers

Answer:

6×5+8×6+6×7+2×1/2×4×8

= 152 in^2

○●○●○●○●○●○

☆Hope it helps...

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

49

Step-by-step explanation:

The probability of choosing a red marble is equal to the number of red marbles over the number of total marbles there are.

Therefore, let the number of red marbles be [tex]x[/tex].

We have the following equation:

[tex]\frac{x}{84}=\frac{7}{12}[/tex]

Cross-multiplying, we get:

[tex]12x=7\cdot 84,\\x=\frac{84\cdot 7}{12},\\x=\boxed{49}[/tex]

Therefore, there are 49 red marbles in the bag.

What is the first step in solving the equation x2 - 25 = 0?
What is the second step in solving the equation?

Answers

Answer:

first step - make x² the subject of the formula

x² = 25

second step :

find the square root of both sides

√x² = √25

x = 5

Step-by-step explanation:


Can someone help with questions 9-16

Answers

9) 4,037,880
10) 5,814
11) 5,765,760
12) 20
13) 742,560
14) 116,280
15) 110
16) 303,600

Find the sum of the Arithmetic series

2+5+8+............20th term

Answers

610 will be the sum of the series

In parallelogram BCDE if m C
B
70
50°
E

Answers

Answer:

[tex]x=130[/tex]

Step-by-step explanation:

Opposite angles of a parallelogram are equal

EBC = 50° while, CDE = 50° too

Area of a parallelogram is 360°

Suppose, BCD to be x too, & form an equation:

[tex]50+50+x+x=360[/tex]

[tex]100+2x=360[/tex]

[tex]2x=360-100[/tex]

[tex]2x=260[/tex]

[tex]x=260/2[/tex]

[tex]x=130[/tex]

{CHECK: [tex]130+130+50+50=360^{o}[/tex]}

Answer:

m∠DEB = 130°

Step-by-step explanation:

Key: Only two angles are congruent because of the parallelogram

Since m∠EBC = 50° m∠CDE = 50°

Then we are missing m∠BCD and m∠DEB

50 + 50 + m∠BCD + m∠DEB = 360°

100 + m∠BCD + m∠DEB = 360°

m∠BCD + m∠DEB = 360 - 100

m∠BCD + m∠DEB = 260

m∠BCD + m∠DEB = 260/2

m∠BCD + m∠DEB = 130°

m∠BCD and m∠DEB = 130°

Complete the remainder of the table for the given function rule: y= x/4 + 7

Answers

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

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

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

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

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

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

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

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

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

A function assigns the values. The value of the y in the given table should be 6, 7, 8, and 9, respectively.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function of the x and y is given y=(x/4)+7, use this function to find the value of y for the given values of x. Thus,

x = -4

y = (-4/4)+7

y = -1+7

y = 6

x = 0

y = (0/4)+7

y = 7

x = 4

y = (4/4)+7

y = 8

x = 8

y=(8/4)+7

y = 9

Hence, the value of the y in the given table should be 6, 7, 8, and 9, respectively.

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---------please help asap---- ---------------

Answers

Answer:

Question 1:

SAT average divided by budget per student and

SAT average divided by teachers per student

Question 2:

Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.

What is the value if X?

A) 16
B) 30
C) 8
D) 15


A step by step analysis would be greatly appreciated but a simple answer will do as well.​

Answers

Answer:

[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]

Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .

[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]

Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

I think the answer is 16 so I hope it help

In a carnival game called Spot the Spot, the player has to drop five disks onto a red circle. The disks must cover it completely for the player to win. The probability that a skilled player can drop one of the disks onto the exact place on the red circle that it must occupy is about 1/3. What is the probability that such a player will be able to drop

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n=5[/tex] --- disks

[tex]p = \frac{1}{3}[/tex] --- success probability

Required

The question is incomplete, as the required probability is not stated.

However, the question follows binomial distribution and the probability is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}[/tex]

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}[/tex]

[tex]P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}[/tex]

[tex]P(x = 2) = \frac{80}{243}[/tex]

Apply the formula to the complete question

a 10 foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle betwween the top of the ladder and the wall changing when that angle is

Answers

Answer:

d∅/dt = √2/5 Rad/sec

Step-by-step explanation:

According to the Question,

Given That, a 10-foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle between the top of the ladder and the wall changing when that angle is π/4.

Solution,

Let x be the Distance between the base of the wall and the bottom of the ladder.

and let ∅ be the angle between the top of the ladder and the wall.

Then, Sin∅ =x/10  so, x=sin∅ *10

Differentiating with respect to time t we get,

dx/dt = 10 * cos∅ * d∅ /dt

We have given that dx/dt = 2 ft/s and ∅ =π/4

Now, Put these value we get

2 = 10 *(cos(π/4))* d∅/dt

2 = 10/√2 * d∅/dt

d∅/dt = √2/5 Rad/sec

4a+b+16a^2-b^2 how to factorize this​ can u plz solve it​

Answers

Answer:

(4a+b)(1+4a-b)

Step-by-step explanation:

4a+b+16a²-b²4a+b+(4a)²-(b)²4a+b+(4a+b)(4a-b)(4a+b)(1+4a-b)

hope it helps

stay safe healthy and happy.

Answer:

(4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

hallar "x"
...................................

Answers

X = 22o

30 + 20 + 3x + 20 + 2x = 180
=> x = 110/5 = 22

If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B

Answers

Answer:

B = 34.77°

Step-by-step explanation:

For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:

[tex]b^{2} =a^{2} +c^{2} -2ac Cos(B)[/tex]

This can be rearranged to find the angle B:

[tex]b^{2} -a^{2} -c^{2} /-2ac = Cos(B)[/tex]

With lowercase letters being sides and uppercase being angles.

We simply plug in the sides and solve:

[tex]4^{2} -6^{2} -7^{2}/-2*6*7= Cos(B)[/tex]

0.8214 = Cos (B)

Then you use inverse cosine to get angle B alone.

B = 34.77°

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

Step-by-step explanation:

here's the answer to your question

Find the area of the parallelogram

Answers

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

Find the slope of the line that passes through (9, 6) and (5, 5).

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)

m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

x/3 + 8 = 23 . Find the value of x

Answers

Answer:

45

Step-by-step explanation:

x/3 + 8 =23

=> x/3 = 23-8

=> x/3 = 15

=> x = 15 x 3

x = 45

Answer:

x=45

Step-by-step explanation:

To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.

I have another question I need help with. How do I solve for the missing angle?

Answers

Answer:

The angle measures approximately 18.19°.

Step-by-step explanation:

Since we want to find the angle and we are given the side adjacent to the angle and the hypotenuse, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 19 and the hypotenuse is 20. Substitute:

[tex]\displaystyle \cos \theta = \frac{19}{20}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle \theta = \cos^{-1}\frac{19}{20}[/tex]

Use a calculator (make sure you're in Degrees Mode!). Hence:

[tex]\theta \approx 18.19^\circ[/tex]

The angle measures approximately 18.19°.

Elana runs for 28 seconds and finishes at 250 meters .what is her velocity

Answers

Answer:

8.9m/s

Step-by-step explanation:

Time= 28s

Displacement= 250m

Velocity=?

Velocity (v) = displacement (d)/ Time (t)

V= 250/28

V=8.9m/s

OR YOU CAN APPROXIMATE IT

V=8.928

YOU CAN APPROXIMATE IT TO

V=8.93m/s

Write an
equivalent expression by distributing the "_" sign outside the parentheses:
-(2h + 9.6k) + 1

Answers

Answer:

On distributing the - sign outside the parenthesis we get,

-2h - 9.6k + 1


What is the next step for this construction?
Connect points A' to C.
A. Connect points A’C
B. Draw another arc
C. Erase BC
D. Connect points C’ and B’

Answers

d. connect points c and b

A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?

Answers

Hello,

[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.

At the city museum, child admission is 6.30 and adult admission is 9.50. On Saturday, three times as many adult tickets as child tickets were sold for total sales of $1113.60 . How many child tickets were sold that day?

Answers

Answer:

15child tickets

Step-by-step explanation:

$113.60÷4=28.4

28.4×3=85.2

113.60-85.2=100:6.3=15

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