What is the area of a triangle with vertices (1,0) (5,0) (3,4)

Answers

Answer 1

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is given by the determinant of the following matrix:

[tex]A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|[/tex]

In this question:

Vertices (1,0) (5,0) (3,4). So

[tex]A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|[/tex]

[tex]A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)[/tex]

[tex]A = \pm 0.5*(20-4)[/tex]

[tex]A = \pm 0.5*16 = 8[/tex]

The area of the triangle is of 8 units of area.


Related Questions

Please fill in this for 20 points and brainlist <3333

Answers

Answer:

1. [tex]750(0.041) = $30.75[/tex]

2. [tex]90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\[/tex]   65%

3. [tex]13(1.06) = 13.78[/tex]

Please remember to brainlist this answer

Answer:

give them brainliest

Step-by-step explanation:

102 is what percent more than 50

Answers

I think it would be 204

Sue Arva has 460 beads to make bracelets. Each bracelet will use 50 beads. How many bracelets will she be able to make? A. 9 B. 10 C. 16 D. 15

Answers

Answer:

A. 9

Step-by-step explanation:

So, she has 460 beads, and each braclet she makes requires 50 beads.

Therefore we will divide these numbers to get 9.2. This rounds to A. 9.\

Hope I help!

~PumpkinSpice1

Hey guys, please help me answer this question!

Answers

Answer:

its 3rd one all the best for your test

3rd one good luck on your quiz

Can somebody please help me?
2+2

Answers

Answer:

4 is the answer =)

Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?

Maximum
________________
Q1 (1st Quartile):???

Q2 (Median): ????

Q3 (3rd Quartile):????

What is the Maximum:???

Answers

Answer: Q1 10 Q216 Q3 8

Step-by-step explanation:

BECAUSE I THIK THAT IS THE ANSWER

3. Find the slope of the line through the pair of points.
(12, 2), (-7,5)

Answers

Answer:

-3/19

Step-by-step explanation:

Given data

We have the coordinates

(12, 2), (-7,5)

x1=12

y1=2

x2=-7

y2=5

The expression for the slope is given as

Slope= y2-y1/x2-x1

Substiute

Slope=  5-2/-7-12

Slope= 3/-19

Hence the slope is -3/19

What is the gradient of the line 3x + 2y=9

Answers

Answer:

slope : -3/2

Y=(0, 9/2)

Step-by-step explanation:

$72 with a 40% markup

Answers

Answer:

$100.80

Step-by-step explanation:

40%/100%×72=$28.80

$72+$28.80=$100.80

Prove Triangle congruence part 1​

Answers

Answer:

there is five way to find that triangle is congruent. they are:

1. SAS axiom

2. SSS axiom

3. AAA axiom

4. ASA axiom

5. RHS axiom

Faye has $3,000 that she is going to deposit into each of the two accounts as shown:

•Account A: 5% simple interest for 5 years
•Account B: will earn $828.84 over 5 years

Assuming Faye does not make any additional deposits nor withdrawals, find t combined amount of her two accounts after 5 years.

Answers

Answer:

Faye has $3,000 that she is going to deposit into each of the two accounts as shown:

•Account A: 5% simple interest for 5 years

•Account B: will earn $828.84 over 5 years

Assuming Faye does not make any additional deposits nor withdrawals, find t combined amount of her two accounts after 5 years.

Step-by-step explanation:

sub to sir sir bmgo ΔΔ

A number is five more than three times another number. The sum of the two numbers is 33. Equation X plus 3X +5+352 find the value

Answers

Answer:

the number is 26

Step-by-step explanation:

x+3x+5=33

4x+5=33

4x=28

x=7

3(7)+5=26

Please help i need this to pass

Answers

Answer:

28

Step-by-step explanation:

a^2+b^2=c^2

a^2+96^2=100^2

a^2+9216=10000

a^2=784

a^2= √784

a=28

Answer:

28 in.

Step-by-step explanation:

Let,

The unknown leg be = x

According to Pythagoras Theorem,

[tex] {hypotenuse}^{2} - {base}^{2} = {height}^{2} [/tex]

[tex] = > {100}^{2} - {96}^{2} = {x}^{2} [/tex]

[tex] = > {x}^{2} = 10000 - 9216[/tex]

[tex] = > {x}^{2} = 784[/tex]

[tex] = > x = \sqrt{784} [/tex]

=> x = 28

Hence,

the another leg is 28 in. (Ans)


Which of the following best describes the algebraic expression 7(x-9) +14 ?

Answers

Answer:

Fourteen more than seven times the quantity of a number minus nine.

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!!

Answers

Answer:

A) 113 m²

Step-by-step explanation:

A=[tex]\pi[/tex]r²

[tex]\pi[/tex]x6x6=113.097

Find the measure of <8

Answers

I’m pretty sure it’d be 72 degrees because they are alternate exterior angles

What is the range of the function graphed below?

Answers

Answer:

-3<y<=3 or B

Step-by-step explanation:

first we find the smallest y value which is -3

then we find the largest y vlaue which is three

so since there is an open circle at negative three we do not include it while at three we do.

so the answer would be -3<x<=3

if my answer helps please mark as brainliest.

Brainliest for correct answer

Answers

The last choice is the correct one

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).

Answers

Answer:

-1 is the remainder

hope it helps

Answer:

-1 is the remainder for this problem.

Step-by-step explanation:

Plato.

Complete the table for the given rule.


Please help me and thank u, hope u all have a wonderful day!​

Answers

Answer: 4= 2 8=3 12=4

Step-by-step explanation:

We see that 1/4 is the x, so we can multiply 4 by 1/4 which gives us 1 and then we add 1 because the equation has a +1. Now we do the same to the 8, 8(1/4 +1) =3.

A person, 35 meters away from a building, is looking up at a bird that is sitting on the top of the building. If the distance from that person to the bird is 91 meters, how tall is the building? (no website pls just answer)

Answers

Answer:

I think it is 56

Step-by-step explanation:

Multiply 16,3,and 29, and then subtract 17

Answers

Answer:

1375

Step-by-step explanation:

We can just follow what it says.

16 times 3 times 29 = 1392

1392 - 17 = 1375

Answer
1,375
Step-by-step explanation:
16 x 3 x 29 = 1,392
1,392 - 17 = 1,375

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?

Answers

Answer:

(5.240 ; 8.760)

Step-by-step explanation:

Given :

Sample mean, xbar = 7

Standard deviation, s = 2.29

Sample size, n = 9

95% confidence interval for the population mean :

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 0.05 ; df = 8 = 2.306

Margin of Error = 2.306 * 2.29/sqrt(9)

Margin of Error = 1.760

Lower boundary = (7 - 1.760) = 5.240

Upper boundary = (7 + 1.760) = 8.760

(5.240 ; 8.760)


2x^2 + 16x + 28 = 0?

Answers

Answer:

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

[tex]x=-4-\sqrt{2}[/tex]

Step-by-step explanation:

The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,

[tex]ax^2 +bx + c=0[/tex]

The quadratic formula is the following,

[tex]\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}[/tex]

Substitute in the given coefficients for the following equation,

[tex]2x^2 + 16x + 28 = 0[/tex]

Substitute,

[tex]\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}[/tex]

Simplify,

[tex]\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}[/tex]

The roots of the quadratic equation ([tex]2x^2+16x+28=0[/tex]) are  ([tex]x=-4+\sqrt2[/tex]) and ([tex]x=-4-\sqrt{2}[/tex])

Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3

Answers

Answer:

n - 5  = 8

Step-by-step explanation:

5 less than a number = a number subtracted by 5

a rectangle has an area of 240 square centimeters and a length of 32 centimeters. what is the width of the rectangle? use the formula A= lw

Answers

Answer:

7.5

Step-by-step explanation:

What is the equation of the line that is parallel to line y = -3x – 8 and passes
through the point (-2, 9)?
y= 1x + 29
y = -3x + 11
y = -3x + 3
y = 4x + 53

Answers

Answer:

y = -3x + 3

Step-by-step explanation:

Since the line is parallel, it has the same slope. Plug the point you have into the equation y - y1 = slope (x -x1) to get your answer, which should be y = -3x +3

Hopefully this helps - let me know if you have any questions!

Answer:

C: y = -3x +3

Step-by-step explanation:

Lines that are parallel have the same slope have so the slope of the line in -3, now we have to find the y-intercept, we can do this by substituting -2 for x and 9 for y and solve for b

9 = -3(-2) +b

9 = 6 + b

b = 3

So the line that is parallel to y = -3x -8 and goers through the point (-2,9) is y = -3x + 3 or answer C

7 (n+4) = 21
Please help me solve this

Answers

Answer is n= -1 Explanation first thing you need to do is to divide the 7 and 21 to get n+4=3. After that move the constant 4 and switch it with 3. N+3=4. Then calculate n+3=4 to get n= -1

Answer:  n = -1

Step-by-step explanation: distribute 7 to n +4 to get 7n +28 = 21

subtract 28 on both sides, to get 7n= -7 divide by positive 7, and get n=-1

plug it in to check 7(-1+4)=21

-1+4= 3

7(3)= 21

it checks out ^_^

6.A random sample of 60 married couples who have been married 7 years was ask the number of children they have. You may assume requirements are satisfied.The results of the survey are as follow000333132231324033310233142313350230442232222343221432421232a.What is the shape of the distribution of the sample mean? Why?b.Compute a 95% confidence interval for the mean number of children of all couples who have been married for 7 years. Interpret the interval.c.Computer the 99% confidence interval for the mean number of childrenof all couples who have been married 7 years. Interpret the interval.

Answers

Answer:

(1.962 ; 2.578) ;

There is a 95% chance that the true population mean of the number of children of all couples who have been married for 7 years lies within the interval (1.962 ; 2.578);

(1.865 ; 2.675);

There is a 99% chance that the true population mean of the number of children of all couples who have been married for 7 years lies within the interval (1.8646 ; 2.6754)

Step-by-step explanation:

Given the data :

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5

Using calculator :

Mean, xbar = 2.27

Standard deviation, s = 1.219

Sample size = 60

Confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Margin of Error = 1.96 * 1.219/ sqrt(60) = 0.3084

Lower boundary = (2.27 - 0.3084) = 1.962

Upper boundary = (2 27 + 0.3084) = 2.578

(1.962 ; 2.578)

There is a 95% chance that the true population mean of the number of children of all couples who have been married for 7 years lies within the interval (1.962 ; 2.578)

C.) 99% confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 99% = 2.576

Margin of Error = 2.576 * 1.219/ sqrt(60) = 0.4054

Lower boundary = (2.27 - 0.4054) = 1.8646

Upper boundary = (2.27 + 0.4054) = 2.6754

(1.865 ; 2.675)

There is a 99% chance that the true population mean of the number of children of all couples who have been married for 7 years lies within the interval (1.8646 ; 2.6754)

3 (18 - 7) divided by 2? I have to show my work

Answers

Answer:

16.5

Step-by-step explanation:

(18-7) = 11

11 x 3 = 33

33 divided by 2 = 16.5

Answer:

[tex]16\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3 (18 - 7)}{2} =\frac{3*11}{2}=\frac{33}{2}= 16\frac{1}{2}[/tex]

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