How many right triangles have a hypotenuse that measures 4x + 2 meters and legs that measure 4x-2 meters and x + 6 meters? What are the dimensions of the triangle(s)?

Answers

Answer 1

9514 1404 393

Answer:

2 triangles; x={2, 18}10 m, 6 m, 8m74 m, 70 m, 24 m

Step-by-step explanation:

The given sides will form a right triangle when ...

  (4x +2)² = (4x -2)² +(x +6)² . . . . . the Pythagorean theorem is satisfied

  16x² +16x +4 = 16x² -16x +4 +x² +12x +36 . . . . eliminate parentheses

  x² -20x +36 = 0 . . . . . simplify to standard form

  (x -2)(x -18) = 0 . . . . . . factor

  x = 2 or 18 . . . . . . . . values of x that make the factors zero

There are two triangles.

For x = 2

  hypotenuse = 4(2) +2 = 10

  leg1 = 4(2) -2 = 6

  leg2 = 2 +6 = 8

  dimensions are 6 m by 8 m with hypotenuse 10 m.

For x = 18

  hypotenuse = 4(18) +2 = 74

  leg1 = 4(18) -2 = 70

  leg2 = 18 +6 = 24

  dimensions are 24 m by 70 m with hypotenuse 74 m.


Related Questions

A candy company packaged 208,164 pieces of candy into 836 bags. If each bag contains the same number of pieces of candy, how many pieces of candy does each bag contain?
A.
1,085
B.
587
C.
249
D.
151

Answers

Answer:

C: 249

Step-by-step explanation:

208,164/836 = 249

Urgent what is the numerical answer please !!

Answers

whats the full question?

Answer:

AB slope= 4/5

CD slope= - 5/4

Step-by-step explanation:

AB: (0,-1) (5,3)

Slope= (3- -1)/(5-0) = 4/5

CD: (2,3) (6,-2)

CD slope= (-2-3)/(6-2) = -5/4

12. GODEEPER
My 3-digit number has a 4 in the
hundreds place. It has a greater digit in the
tens place than in the ones place. The sum of
the digits is 6.
What is my number?
ing Company. Image Credits: (t) Virinaflora Sh
Write the number using words.
13. THINK SMARTER) Alma counts two
Math
Sot
2

Answers

Answer:

420

Step-by-step explanation:

Translate to an inequality

nine increased by the product of a number and 8 is less than -20

Use the variable c for the unknown number.

Answers

Answer: - 29/8

Step-by-step explanation:

9 + 8c < - 20

8c < - 20 - 9

8c < - 29

c < - 29/8

Answer:

give this other guy or girl branliest

Step-by-step explanation:

Help me pleaseeee help help

Answers

Answer:

Step-by-step explanation:

Which of the following numbers could not be used to describe a distance walked?
A. 129/3 foot
B. |-125 | foot
C. 12 foot
D. -140 foot

Answers

9514 1404 393

Answer:

  D. -140 ft

Step-by-step explanation:

Lengths cannot be negative, so -140 cannot be a distance walked.

__

Additional comment

Relative to some reference point and direction, a position can be described as positive or negative. However, the distance from that point to the reference point will always be positive.

brainliest to correct answer

Answers

-2x -1 means the answer is 2

2 is the answer hope it helps

Given f(x)=5x+2 and g(x)=-3x-4, find the following: a. f(g(0))
b. f(f(3))
c. (g of)(0)
d. (g o g)(2)

Answers

9514 1404 393

Answer:

  a. -18

  b. 87

  c. -10

  d. 26

Step-by-step explanation:

For evaluating functions with different arguments, I find a calculator to be helpful.

__

If you want to do this by hand, put the argument value where the variable is and do the arithmetic. It is helpful to know that

   [tex](f\circ g)(x)=f(g(x))[/tex]

__

For example, ...

a. f(g(0)) = f(-3(0) -4) = f(-4) = 5(-4) +2 = -18

your monthly salary increases from $2,200 to $2,376. what percent is your raise?

Answers

Answer:

8%

Step-by-step explanation:

(2376-2200):2200x100%=8%

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me

3x-(2x+4)+5

Answers

Answer:

3x-(2x+4)+5

-(2x +4)

 -2x-4

=3x-2x-4+5

=x+1

Step-by-step explanation:

hope that helps>3

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(4)).

g(f(4)) =
]

Answers

9514 1404 393

Answer:

  g(f(4)) = 9

Step-by-step explanation:

Put the argument value where the variable is and do the arithmetic.

  g(f(4)) = g(4 -7) = g(-3) = (-3)^2

  g(f(4)) = 9

URGENT NEED HELP RIGHT ANSWER WILL BE BRAINLEIST
Write an absolute value equation with the SOLUTION OF -1 and 5.

Answers

Answer:

i had given detailed solution mark me brainliest.

thank you

Michael cut away 3.01 meters of rope.Before that he had 6 meters of rope.How much rope does Michael have left

Answers

Answer:

2.99 meters

Step-by-step explanation:

Evaluate the expression 2−7+15
pls somone help

Answers

Answer:

answer is -20

BODMAS

So we do addition First, then subtraction so 7+15 = 22

2- 22= -20

Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x 3y

Answers

Answer

y=−3/5x−23/5

given the slope m of a line then the slope of a line

perpendicular to it is

Answer:

y= 1/2x + b

Step-by-step explanation:

If red is = -1 and yellow is = +1

what problem and solution are modeled below?






A. - 5 + 8 = 3

B. -10 - 3 = -13

C. 10 + - 3 = 8

D. -8 + 5 = - 3

Answers

Answer:

D.

MARK ME BRAINLIEST CORRECT AMSWER IS GIVEN

HELP PLEASE! 11. Is the set of integers closed under division? Explain why or why not.
If it is not closed, give an example.

Answers

First a definition:

A given set is closed under a given operation if, for any given pair of elements of the set under that operation, the outcome also belongs to the set.

With this, we will find that the set of integer numbers is not closed under division.

Now let's be more clear.

The definition particularly means that a set is closed under division only if for any pair of elements of the set, the division of these elements also does belong to the set.

Here we want to see if the set of integers is closed under division. To see that this is false, we just need to find a counterexample.

This is, finding a pair of integer numbers that have a quotient that is not an integer.

A really simple example is:

1 and 2.

2/1 = 2 is integer.

but

1/2 = 0.5 is not integer.

Thus we can conclude that the set of integers is not closed under division.

If you want to learn more, you can read:

https://brainly.com/question/17175273

John bought 3 pants for 25 dollars each and paid with a 100 dollar bill how much change did he get?

Answers

Answer:

He got $25 in change.

Step-by-step explanation:

Suppose the balance amount is x.

The cost of 3 pants is 3 × 25 = 75

John paid = $ 100

x = 100 – 75

x =  25

Answer:25

Step-by-step explanation:

25×3=75 then you subtract 100-75=25

I left home at 5:30 am
7.250m and arrived at school at 7:25am how many seconds did I take to reach school

Answers

I think it is 6,900 seconds. I believe that is the answer because the time distance from 7:25am and 5:30am is 1hr 55 mins, that in seconds is 6,900 seconds.

When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.

Answers

Hope it helps! If it is, Brainliest please!

find the perimeter of this triangle

Answers

Perimeter = Sum of all sides

Sides of triangle are

9 in12 in15 in

Now , Calculating perimeter

Perimeter = 9 + 12 + 15

Perimeter = 36 in

Answer:

P = 36 in

Step-by-step explanation:

A+B+C=P

So A would be 9,B would be 12, And C would be 15 add that all up and you get 36.

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Answers

Answer:

6(3) - 4 - 3²

Step-by-step explanation:

(g - f) = 6x - (4 - 2x²)

= 6x - 4 - 2x²

and when we replace x with 3 ,it will be

6(3) - 4 - 3²

hope this helps

Answer:

Basically what the person on top of me said

Step-by-step explanation:

Got it right !

How do the fuel economies of Honda and Ford
vehicles compare in 2018? Use the drop-down menus
to complete the statements.
Shape: The distribution of fuel economy for Honda is
vand for Ford is
Outliers: There appears to be an outlier of 47 mpg for
Honda. There appears to be an outlier of 40 mpg for
Ford
Center: Fuel economy for Honda tends to be
the fuel economy for Ford.
Variability: Fuel economy for Honda varies about the
same as the fuel economy for Ford.

Answers

Answer:

1. roughly symmetric

2. skewed to the right

3. greater than

Step-by-step explanation:

correct on edge 2021 :)

1. The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right. and 3. Fuel economy for Honda tends to be greater than the fuel economy for Ford.

How to compare the fuel economies of Honda and Ford vehicles in 2018?

Shape: The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right.

Outliers: There appears to be an outlier of 47 mpg for Honda. There appears to be an outlier of 40 mpg for Ford

Center: Fuel economy for Honda tends to be greater than the fuel economy for Ford.

Variability: Fuel economy for Honda varies about the same as the fuel economy for Ford.

Learn more about Fuel economy here;

https://brainly.com/question/24212851

#SPJ2

Doug dives from a platform that is 10 meters above water. His dive takes him 3.8 meters below the
surface of the water. How far does Doug's dive take him?
***
Doug's dive takes himmeters.

Answers

Answer:

13.8

Step-by-step explanation:

His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.

Dive = platform + under the surface

Dive = 10 + 3.8

Dive = 13.8

The answer is 13.8 I hope that helps

The area of a rectangle is 52 inches if the length is two times the width find the dimensions of the rectangle round off your answer to the nearest hundredth

Answers




A=52in
Length= 2x
Width=x

Length(Width)= Area

2x^2=52
Divide both side by two
x^2=26
Sqrt both side
x=+ or - sqrt(26)

Length=2(sqrt(26)=2sqrt(26) or 10.20

Width=sqrt(26) or 5.20

Answer:

about 5.10 by 10.20 inches

Step-by-step explanation:

You can substitute the width for "x"

This would make the length 2x as it is two times the width

Area in a rectangle is Length times Width, so in this case it would be 2x * x

It gives you the area as 52 inches, so you can substitute this in the equation making it 52 = 2x^2

divide by two on both sides: 26 = x^2

take the square root of both sides, and x is 5.0999

Now to find the length, just double it, which rounds out to 10.20

5.0999 rounds to the hundredth as 5.10

so for dimensions you have 5.10 by 10.20

Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.08 per mile driven.
For what amount of driving do the two plans cost the same? _ miles
What is the cost when two plans cost the same? $_

Answers

Answer:

250 miles

69 dollars

Step-by-step explanation:

Plan 1

44+.10m

Plan 2

49 +.08m

Set the two plans equal

44+.10m = 49 +.08m

Subtract .08m from each side

44+.10m - .08m = 49 +.08m-.08m

44+.02m = 49

Subtract 44 from each side

44 +.02m-44 = 49-44

.02m = 5

Divide each side by .02

.02m/.02 = 5/.02

m = 250

The cost is 44 +.10(250)

                  44 +25

                    69

find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)​

Answers

Answer:

[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]

Or:

[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) - i(x +y)[/tex]

And we want to find the values of x and y such that the equation is true.

First, distribute:

[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) +i(-x -y)[/tex]

If two complex numbers are equivalent, their real and imaginary parts are equivalent. Hence:

[tex]\displaystyle x^2 + 2xy = x^2 - 2x +2y \text{ and } y - 1 = -x -y[/tex]

Simplify:

[tex]\displaystyle 2xy = -2x +2y \text{ and }x = 1 - 2y[/tex]

Substitute:

[tex]\displaystyle 2(1-2y)y = -2(1-2y) + 2y[/tex]

Solve for y:

[tex]\displaystyle \begin{aligned} 2(y - 2y^2) &= (-2 + 4y) + 2y \\ 2y - 4y^2 &= 6y -2\\ 4y^2 + 4y - 2& = 0 \\ 2y^2 + 2y - 1 &= 0 \\ \end{aligned}[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned} y &= \frac{-(2)\pm\sqrt{(2)^2 - 4(2)(-1)}}{2(2)} \\ \\ &= \frac{-2\pm\sqrt{12}}{4} \\ \\ &= \frac{-2\pm2\sqrt{3}}{4}\\ \\ &= \frac{-1\pm\sqrt{3}}{2} \end{aligned}[/tex]

Hence:

[tex]\displaystyle y_1 = \frac{-1+\sqrt{3}}{2} \text{ or } y_2 = \frac{-1-\sqrt{3}}{2}[/tex]

Then:

[tex]\displaystyle x _ 1 = 1 - 2\left(\frac{-1+\sqrt{3}}{2}\right) = 1 + (1 - \sqrt{3}) = 2 - \sqrt{3}[/tex]

And:

[tex]\displaystyle x _ 2 = 1 - 2\left(\frac{-1-\sqrt{3}}{2}\right) = 1 + (1 + \sqrt{3}) = 2 + \sqrt{3}[/tex]

In conclusion, the values of x and y are:

[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]

Or:

[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]

3/10 = 15/50 what is the multiplier

Answers

Answer: 5 or 5/5
3/10=15/50
3/10 x 5/5 = 15/50

Answer:

the answer is 150

Step-by-step explanation:

you will do cross multiplication where 3 will multiply 50 and 15 will multiply 10. u will get 150=150

What is the last step whenever dealing with fractions?​

Answers

Answer:

The last step is to simplify the result if it can be done. To simplify a fraction, you have to find the greatest common factor (GCF) of both the numerator and the denominator. The GCF is the largest number that can be evenly divided into both numbers. In the case of 12 and 96, 12 happens to evenly divide into 96.

will give brainlyist to first answer

Answers

There are 5.08 centimeters in an inch

Answer:

5.08 cm, or 5 cm if you round it

Step-by-step explanation:

2.54 cm = 1 in

2.54 x 2 = 5.08

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