Find the area of the triangle with the vertices A (3, -5), B (-2, -7) and C (18, 1) such that A, B and C are collinear.

Answers

Answer 1

9514 1404 393

Answer:

  0

Step-by-step explanation:

Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)


Related Questions

Help!
Which expression is equivalent?
On edge

Answers

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

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

Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

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

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?​

Answers

Answer:

1they are 15 kilometers apart

Solve the following problems using equations. Show your working steps clearly.

1. Four years ago, the age of Paul was twice that of John. John is 18 years old now. How old is Paul now?

2. Five bottles of milk cost $4.4 more than four bottles of juice. If one bottle of milk costs $3.2, find the cost of one bottle of juice.

3. Miss Cheung spends 1/8 of her savings on personal ornaments and 5/6 on clothing. If her savings still has $130 left, find the original amount of her savings.​

Answers

1.

Paul's present age = x

John's present age = 18

Paul's age 4 years ago = x - 4

John's age 4 years ago = 18 - 4 = 14

Also,

Paul's age four years ago was twice that of John's age four years ago.

Therefore,

Paul's age 4 years ago = 2(14)

= 28

Paul's age 4 years ago = x - 4 = 28

x - 4 = 28

x = 28 + 4

x = 32

Therefore, the present age of Paul is 32.

2.

Cost of one bottle of milk = $3.2

Cost of five bottles of milk = $3.2 × 5 = $15

Cost of four bottles of juice = $15 - $4.4

= $10.6

Cost of one bottle of juice = x

= Cost of four bottles of juice

4

= 10.6

4

= 2.56

Therefore, one bottle of juice costs $2.56.

3.

Savings spent on personal ornaments = 1/8

Savings spent on clothing = 5/6

Total savings spent = 1/8 + 5/6

= 3/24 + 20/24

= (3+20)/24

= 23/24

Savings left = 1/24 = $130

Total amount of savings = x

As 130 is one part of the total savings,

Total amount of savings =

x = 130 × 24

x = 3120

Therefore, original amount of savings is $3120.

six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?

Answers

Answer:

2/3 quarts

Step-by-step explanation:

Paint used by 9 artists = 6 quarts

So, paint used by 1 artist if shared equally among the 9 artists

= 6 quarts/9

= 2/3 quarts

= 0.6666...... quarts

Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.

To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist

To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.

To know more about  artists , here

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Determine a quadratic equation that has 7 and -4 as solutions.

Answers

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28

When 59,527 is divided by 23, the quotient is 2,588 R ___.

Answers

Answer:

3

Step-by-step explanation:

When 59,527 is divided by 23, the quotient is 2,588 R3.

Hope this helps! :)

A wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft

Answers

200 because a gallon of paint covers 200 square feet

Please help i don’t have a lot

A can of tomatoes has a radius of 6 cm and a height of 10 cm. What is the approximate volume of the can?

A:36 cm3
B:60 cm3
C:113 cm3
D:1,130 cm3

Answers

Answer:

D: 1,130 cm³

Step-by-step explanation:

You need the volume of  a cylinder.

V = πr²h

V = 3.14159 * (6 cm)² * 10 cm

V = 3.14159 * 36 cm² * 10 cm

V = 1130.97 cm³

Answer: D: 1,130 cm³

Answer:

The choose D. 1130 cm³

v = r² pi/ h

v = (6)² × 3.14 × 10

v = 1130.4

v = 1130

Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now

Answers

Answer: 3.6

Step-by-step explanation:

Answer:

63.6 pounds

Step-by-step explanation:

Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.

So 6% of 60 is

[tex]\frac{x}{60} *100=6[/tex]

x=360/100

x=3.6

So Jimmy's dog weighs 60+3.6=63.6 pounds

the locations of a house, market, and library from a right triangle as shown in the diagram

Please help quick!!​

Answers

I’ve attached my work
Hope it helps!

whats 1+(3x3)???? HELP I WILL GIVE BRAINLIEST !!!!

Answers

Answer:

[tex]1 + (3 \times 3) = 1 + 9 = 10 \\ thank \: you[/tex]

Answer:

its 10

Step-by-step explanation:

1+(3x3)

1+(9)

10

plz give brainliest im tryna level up

What answer applies to “fine print”?

Answers

In goooooooogle you get your answer please Mark me as a brainlist

Graph step by step:
f(x)=-2x+1

Answers

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

(2x-5)3 =Alguien sabe cual es el resultado de esta operación

Answers

X=4 ?? I think that’s the answer

Answer:

6x - 15

Step-by-step explanation:

(2x - 5)3

3(2x) - 3(5)

6x - 15

Find the value of x.

Answers

9514 1404 393

Answer:

  x = 50°

Step-by-step explanation:

The angle marked 73° is the average of the arcs marked 96° and x.

  (x +96°)/2 = 73°

  x = 2(73°) -96° . . . . solve for x

  x = 50°

__

Additional comment

Then z = 360° -50° -114° -96° = 100°.

How can I multiply this without a claculator 4103 x 25?

Answers

You just mutiple 4103×25and it =102575

Here’s an example! Line it up like this, 4103
X 25
———-
The answer is 102575!

Find the value of this expression if x = 3.
x²– 1/x+1

Answers

Answer:

2

Step-by-step explanation:

x^2 - 1 = 9 - 1 = 8

8 / 3 + 1 = 8/4 = 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2

Step-by-step explanation:

Given, x=3

Now,

x^2 - 1/ x+1

= 3^2-1/3+1

= 9-1/4

=8/4

=2

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is years old. Harvey is years old.

Answers

Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

-3(-2w+3y-6) what’s the answer

Answers

[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]

I hope I helped you^_^

Hi there!  

»»————- ★ ————-««

I believe your answer is:

[tex]6w-9y+18[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

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

The kinetic energy, K, of an object due to its motion is given by K = mv2, where m is the mass of the object and v is its velocity. What is the mass of the object, m, in terms of its kinetic energy and velocity?​

Answers

Answer:

Step-by-step explanation:

First of all, your formula isn't right. In general, the KE = 1/2 m * v^2

KE = 1/2 m * v^2                         Multiply both sides by 2

2*Ke = m * v^2                           Now divide by v^2

2*Ke/v^2 = m

Simplify the polynomial, then evaluate for x = 1 and y = - 2.
2x2 y + 3xy2 – 3xy + 4x2 y + y2 – 5xy2
6x²y – xy2 – 3xy; - 14
6x2 y - 2xy2 – 3xy + y2; – 2
6xy - xy2 – 3xy;
- 10
6xy - 2xy2 – 3xy + y2; - 10

Answers

Answer:

Step-by-step explanation:

6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2

-12 -8 +6 +4

=-10

-10 is the value of the given polynomial.

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

First, we can simplify the polynomial by combining like terms:

[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]

Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:

[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]

Therefore, the value of the polynomial for x = 1 and y = -2 is -10.

Learn more about Polynomials here:

https://brainly.com/question/11536910

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linear equation 3+X=-2 ​

Answers

Answer:

x = -5 ​

Step-by-step explanation:

3+X=-2 ​

Subtract 3 from each side

3-3+X=-2-3

x = -5 ​

Answer:

-5

Step-by-step explanation:

1 Subtract 3 from both sides.

x=-2-3

2 Simplify -2 -3 to -5

x=-5

Use the number line to answer the question. Each tick represents 1 unit.



Describe the location of point K.

four more than M
three more than L
seven less than N
two less than J


Please be fast!!

Answers

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

Let's start listing some descriptions:

K is:

3 more than H

2 more than J

3 less than L

4 less than M

7 less than N

12 less than P

Now look at the answer choices and compare it to what we wrote.

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

[C. 7 less than N] is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer: LESS THAN FOUR

Step-by-step explanation:


Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations

Answers

Answer:

what elevation there is no elevation

Step-by-step explanation:

pew pew

Answer:duhh

Step-by-step explanation:

Perry uses 12 milliliters of honey in his honey lemon dressing . He makes just enough dressing for 4 salads he puts the same amount on each salad .how much honey is on each salad ASAPPPPP

Answers

answer: 3 milliliters

solution: 12 ÷ 4 = 3

The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)

SO he used 3 milliters on each salad

Mark as Brainliest If the answer is helpful!

I'm a little stuck on this, could I get some help? C:

How much would you need to deposit in an account each month in order to have $50,000 in the account in 10 years? Assume the account earns 5% annual interest compounded monthly.

Thank you, and I am eternally grateful.

Answers

9514 1404 393

Answer:

  $321.99

Step-by-step explanation:

Use the annuity formula and solve for P.

  A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.

  50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)

  P = 50,000/155.282279 = 321.99

You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.

Find the area of the shaded region.​

Answers

Step-by-step explanation:

find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.

now find the area of the other semicircle on top of the big semicircle.

add your results

area of semicircle=1/2(pir^2)

Which is the graph of 4x + 2y < 3? On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded.

Answers

Answer:

it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.

y<-2x+3/2

-2 = m and the y-intercept is 3/2

Step-by-step explanation:

Answer:

The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3

Step-by-step explanation:

3. Find (1 3)(x) when f (x) =
Vx+3
Vx+3 (1 point)
and
g(x)=
2x
x2 +6x+9
of g)(x) =
2x2
√x+3
(g)(x) =
2x2
OF 3)(x)
?? +9
of g)(x) =
x+3
2x²
22

Answers

Answer:

The choose 3.

[tex] \frac{x + 3}{2 {x}^{2} } [/tex]

multiply the fraction 5/6 to the decimal 2.4

Answers

Answer:

answer is 2. thank you. have a nice day

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