An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?

Answers

Answer 1

Answer:

104

Step-by-step explanation:

A(16)=1/2(16)(16-3)

A=8(13)

Area is 104 inches squared


Related Questions

Find the equation in standard form of the line passing through the points (6, 3) and (1,5)

Answers

Answer:

2x+5y=27

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(1-6)

m=2/-5

m=-2/5

y-y1=m(x-x1)

y-3=-2/5(x-6)

y-3=-2/5x+12/5

y=-2/5x+12/5+3

y=-2/5x+12/5+15/5

y=-2/5x+27/5

y-(-2/5x)=27/5

y+2/5x=27/5

5(y+2/5x)=5(27/5)

5y+2x=27

2x+5y=27

2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given inequation:

[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]

[tex]\sf\longmapsto 8x-2<12x+4[/tex]

[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]

[tex]\sf\longmapsto 8x-6<12x[/tex]

[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]

[tex]\sf\longmapsto -6<4x[/tex]

[tex]\sf\longmapsto 4x>-6[/tex]

[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]

[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]

Therefore:

[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]

Pleaseeeeeeeeeee help me

Answers

Answer:

[tex]\huge\boxed{6x-7y=21}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

We have:

[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]

From answers:

[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]

[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]

[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]

[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]

Answer:

6x-7y=21

Step-by-step explanation: :)

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3

6*6= 36
3*3*3*3= 81
2*2*2*2*2= 32
5*5*5= 125
So the answer would be-
2^5,6^2,3^4,5^3

Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...

Answers

30, 36, 42

Hope this helped :)

10(11a) what is the answer need help ASAP

Answers

[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]

Answer:

110a

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ok done. Thank to me :>

Ax+2y=10 through the point (4,3) find the missing coeffecient

Answers

Hi,

Ax + 2y = 10

A*4 + 2*3 = 10

4a + 6 = 10

4a = 4

a = 1

( 4 ; 3 )

↓ ↓

x y

✅(•‿•)

Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks

Answers

Answer:

$1690

Step-by-step explanation:

equation: 60w+550=s

work: 60(19)+550=s

1140+550=s

1690=s

Much help needed thanks!

Answers

The correct answer is D comment if you need me to show the work/ explain

PLS HELP ME WITH THIS (4 x 1) + (4 x 3)

Answers

Answer:

16

Step-by-step explanation:

4x1 is 4

4x3 is 12

4+12 is 16

Answer:

16

Step-by-step explanation:

In the year 2016, the population of the U.K. was about
20.3% of the U.S. population. In 2016, the U.S.
population was about 323.4 million. What was the
approximate population of the U.K. in 2016?
15.9 million
627.7 million
303.1 million
65.7 million

Answers

Step-by-step explanation:

65 million. of was 15 million it would be lower percentage and the other two are too high for 20 percent

A herd of 4 horses has 1 white and some black horses. What is the ratio of while to black
horses?

Answers

Answer:

4:1

Step-by-step explanation:

if we assume there are only two types of horses it would be 4 black horses per 1 white

What is 9 + 10 I do not know

Answers

Answer:

21, jk its 19 if you really dont know

Step-by-step explanation:

Answer:

9 + 10 = 19

just add it

hope it helps

What is the value of x?​

Answers

again, we're assuming that both triangles are similar, and thus using proportions.

[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x

Answers

Answer: Choice B

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

B = 2pi/T

B = (2pi)/(8pi)

B = 2/8

B = 1/4

This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.


Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5

Answers

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?

Answers

Answer:

7

Step-by-step explanation:

since there are 4 dogs for every 6 people,

if we add 3 people, there will be 9 people and 7 dogs.

Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4

Answers

Answer:

y=24

Step-by-step explanation:

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer:

144

Step-by-step explanation:

Mark as Brainliest Answer

Only Number 17!!!!!

Thank You!!

Answers

Ok done. Thank to me :>

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true

-6
Which graph represents function g if g(x)= f(2x)

Answers

Answer:

2

Step-by-step explanation:

ABCD is a parallelogram. Determine the length of BE.

Answers

Answer:

BE = 102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , so

DE = EB , that is

- 8x + 14 = 3 - 9x (add 9x to both sides )

x + 14 = 3 ( subtract 14 from both sides )

x = - 11

Then

BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units

Answer:

A

Step-by-step explanation:I've took the test

Desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente. La hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s. ¿A qué distancia del punto A se encontrarán y en cuánto tiempo? Traza una recta que represente el desplazamiento de cada una de las hormigas.

Answers

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

10 x 15 = 1506 x 15 = 90150 + 90 = 240

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Aprende más en https://brainly.com/question/18500585

Write all the terms of the following X+y+z​

Answers

Answer:

xyz

Step-by-step explanation:

The terms are the addends in the sum:

  x, y, z

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality


The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.

Answers

Answer: 22.5 kg

Step-by-step explanation:

You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.

Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.

Answers

The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

The equations are given as:

[tex]2y = 3x - 4[/tex]

[tex]4x - 2y=4[/tex]

Make y the subject in both equations

First equation

[tex]2y = 3x - 4[/tex]

[tex]y = \frac 32x - 2[/tex]

Second equation

[tex]4x - 2y=4[/tex]

[tex]y = 2x - 2[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where b represents the y-intercept

So: By comparison,

[tex]b_1 = 2[/tex] --- the y-intercept of the first equation

[tex]b_2 = 2[/tex] --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

Read more about y-intercepts at:

https://brainly.com/question/4015585

A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?

Answers

Answer:

41 1/4 turns

Step-by-step explanation:

create a proportion:

turns / inches = turns / inches

't' = turns

16.5 / 1 = t / 2.5

cross-multiply to get:

t = 41.25 or 41 1/4

Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.



Answers

Assuming you mean it is currently at 20% if it’s total weight, the answer is 45 lb

This is because 20% goes into 100% 5 times so you would multiply 9 by 5 to get 100% of the dog’s weight
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