The vertices of triangle ABC have coordinates A(-2,-1) B(10,-1) and C(4,4). Determine and state the area of triangle ABC

The lengths of the sides of the kite LM is 13√2.

According to the Pythagorean theorem, the hypotenuse of a right-angled triangle's other two sides add up to a square whose length equals the hypotenuse's.

The hypotenuse (longest side) of a right-angled triangle's square is equal to the sum of its other two sides, according to the Pythagoras theorem (base and perpendicular). Hypotenuse2 = Base2 + Perpendicular2 is how this is expressed. A2 + B2 = C2 is the formula for the hypotenuse.

According to question:-

LM = 13√2

Hypotenuse = Base 2 + Perpendicular 2.

So,

LM = √7² + 17²

LM = √49 + 289

LM = √338

LM = 13√2.

To know more about lengths visit:

brainly.com/question/2217700

#SPJ1

Answer:

5000 N

Step-by-step explanation:

Given,

Mass ( m ) = 20 kg

Acceleration ( a ) = 250 m/s^2

To find : Force ( F ) = ?

Formula : -

F = ma

F

= 20 x 250

= 5000 N

Answer: the 1st one. can i get brainlist

Step-by-step explanation:

Answer:

Point form: (-6,15)

Equation Form: x = -6, y=15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can see that the value of y is ever half of the value of x, so we can write this function

y = x/2

Answer:

B) y = [tex]\frac{X}{2}[/tex]

Step-by-step explanation:

Answer:

95.05

81.03

Step-by-step explanation:

Answer:

Gross weekly income:

Deductions:

Net weekly income:

3.

Saving $40, the amount left per week:

4.

Saving 15%, the amount saved per month (4 weeks):

The Fraction for the given word problem is x/y = 9/11

A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.

Let the fraction be x/y

The numerator of a fraction is 2 minus its denomination.

⇒ x = y - 2 .....(i)

When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4

⇒ x - 3/y - 3 = 3/4

Can also be written as

⇒ 4(x + 3) = 3(y - 3)

⇒ 4x - 12 = 3y - 9

⇒ 4x - 3y = -9 + 12

⇒ 4x - 3y = 3 .....(ii)

Substitute the value of (i) in (ii)

⇒ 4x - 3y = 3

⇒ 4(y - 2) - 3y = 3

⇒ 4y - 8 - 3y = 3

⇒ y - 8 = 3

⇒ y = 3 + 8

⇒ y = 11

Putting the value of y in (i).

⇒ x = y - 2

⇒ x = 11 - 2

⇒ x = 9

Hence, Fraction = x/y = 9/11

Learn more about6 fraction

https://brainly.com/question/17220365

#SPJ1

The values that can be eliminated from the solution set of the inequality are given as follows:

Values of x ≤ 0.

The perimeter of a rectangle of length l and height h is given by the formula presented as follows:

P = 2(l + h).

The dimensions for this problem are given as follows:

The perimeter must be less than 120, hence the inequality is given as follows:

2(x + 4 + x) < 120

4x + 8 < 120

4x < 112

x < 28.

However, a side length must assume positive values, meaning that values of x ≤ 0, that is, zero and negative values, are eliminated from the solution.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/24571594

#SPJ1

Answer:

60 degrees and an equilateral triangle

Step-by-step explanation:

every triangle adds to 180 degrees

add 60+60=120

180-120=60 to find remaining angle

all angles are the same which makes all sides the same: equilateral

Answer:

1 =60

Step-by-step explanation:

a+b+c=180

60+60+c=180

120+c=180

-120. -120

c=60

The greatest poible value of b is (72-14)/(14-(-2))×(x+2)+14.

Possible value is the potential for something to have a particular outcome, result, or consequence. It is the amount of beneficial or desirable result that can be achieved, given the available resources. Possible value is often determined by assessing various factors such as cost, risk, and time. It is an important concept in economics, finance, and business, as it helps to identify the most beneficial course of action.

The greatest possible value of b is found by solving the equation of the line through A and B, which is y = (72-14)/(14-(-2))×(x+2)+14.

Setting the y-value to 0 and solving for x gives x = -14, which means b = 14. Therefore, the greatest possible value of b is 14.

To know more about possible  value click-

https://brainly.com/question/29711276

#SPJ4

Answer:

Anything over 64 inches.

Step-by-step explanation:

The Triangle Inequality states that each side of a triangle must be shorter than the sum of the other two sides.

If you call the sides a, b, c, then a + b > c,  a + c > b, b + c > a.

23 + 41 = 64, so the third side must be shorter than 64 inches.

ANSWER:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−2,−16)

Equation Form:

x= −2, y= −16

Answer:

21 and 13

Step-by-step explanation:

Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers.

Maths is a subject that can range in difficulty depending on the level of complexity and the individual's experience and knowledge. Some people may find it easy, while others may find it difficult. In the end, it all depends on the level of understanding and the amount of effort put into learning and practicing.

Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

BOTH!

Step-by-step explanation:

See math can be easy or hard. It all depends on YOU. The equation itself isn't hard at all. Mybe a little more work to put in. but its your brain that tells you comething is too challenging or too hard. Now if you are a straight A students and you love math then ofcource your going to be like this is easy!

Answer:

Factor the numerator and denominator and then divide out any common factors.

Step-by-step explanation:

Answer:

204 toothpicks

Step-by-step explanation:

255/5 = 51

51 times 4 = 204

Answer:

40

Step-by-step explanation:

Answer:

option D is correct

5.7+x=-3.5

x= -3.5-5.7

Answer:

D

Step-by-step explanation:

5.7 + x = - 3.5 ( subtract 5.7 from both sides )

x = - 3.5 - 5.7 ( x = - 9.2 )

Answer:

HI = 48 units

Step-by-step explanation:

By midpoint theorem,

"Line segment joining midpoints of two sides of a triangle measures the half of the third side of a triangle."

Since, KL is the segment joining midpoints of JH and JI,

[tex]KL = \frac{1}{2}(HI)[/tex]

-3x + 39 = [tex]\frac{1}{2}(6x + 18)[/tex]

-3x + 39 = 3x + 9

6x = 30

x = 5

Therefore, HI =  6x + 18

                      = 6(5) + 18

                      = 30 + 18

                      = 48

Answer:

The area would be multipled by 8

Step-by-step explanation:

Say you have a rectangle with the length of 5 and the width of 3, the area would be 15. Double the length, 10, and quadruple the width, 12. The area would be 120. 15 × 8 = 120.

Sorry if I'm wrong.

Answer:

[tex](2+\sqrt{-25} ) * (4-\sqrt{-100})[/tex]

(2 + 5i)(4 - 10i), which is 58

58 is your answer

Step-by-step explanation:

Answer:

Hey :))

Step-by-step explanation:

(2 + 5i)(4 - 10i), which is 58

I hope this helps you!!

Answer:180 degrees

Step-by-step explanation: add the angles

Answer:

3.75 hours

Step-by-step explanation:

Total time needed

5 * 6 = 30 hours

with 8 people

30/8 = 3.75 hours

Therefore the cost of each pair of incense is 2.4 in terms of x.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Let x be the cost of one pair of incense.

We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:

(cost of apples + cost of oranges) = 12x

We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:

(3x + 2x) = 12x

5x = 12x

x = 12/5 or 2.4

So the cost of each pair of incense is 2.4 in terms of x.

To know more about equation visit: https://brainly.com/question/29657983

#SPJ4

Step-by-step explanation:

By plugging in the coordinates into your Equations, both y and x to see if they equal each other

To prove the inverse :

You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another. The functions are inverses if you get x; otherwise, they are not.

To learn more about inverse here:

https://brainly.com/question/2541698

#SPJ4

The total distance traveled from 0 ≤ t ≤ 7, considering the position function x(t) = t³ - 6t² - 29, is given as follows:

288.75 units.

The position function for this problem is defined as follows:

x(t) = t³ - 6t² - 29.

The total distance traveled over an interval [a,b] is given by the definite integral of the function x(t) over the interval from x = a to x = b.

The definite integral in this problem is calculated as follows:

I = 0.25t^4 - 2t³ - 29t, from t = 0 to t = 7.

Applying the Fundamental Theorem of Calculus, the total distance is calculated as follows:

I = 0.25(7)^4 - 2(7)³ - 29(7) - (0.25(0)^4 - 2(0)³ - 29(0))

I = 288.75 units.

(which is the absolute value of the result of the definite integral).

More can be learned about definite integrals at https://brainly.com/question/22008756

#SPJ1