The sides of a right triangle are (x-5) (x+2) (x+3). solve for x.

Can someone pls help me on this problem

Answers

Answer 1

Answer:

x = 10.

Step-by-step explanation:

The longest side , the hypotenuse = x + 3 because the lengths of the sides  are positive.

So, by Pythagoras:

(x + 3)^2 = (x - 5)^2 + (x + 2)^2

x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4

0 = 2x^2 - x^2 - 10x + 4x - 6x + 29 - 9

x^2 - 12x + 20 = 0

(x - 10)(x - 2) = 0

x = 2, 10.

x cannot be 2 because that would make one side =  2- 5 = -3 so the answer is x = 10.


Related Questions

if you buy 20 apples for 10.00 how much is 1 apple?
answer dis then you got big brain! :)

Answers

Answer:

2 dollars each duh

Step-by-step explanation:

Answer:$0.50Hope this helps!!

Can someone help who is good at pre algebra or algebra one? Tysm MAKE SURE ITS CORRECT (: I wanna get my math grade up

Answers

Answer:

Sorry not sure but try y-6= -1 (x - 3)

Step-by-step explanation:

Write an equation for the line that is perpendicular to the line y= -9 that passes through the point (-3,4).
I attached the answers down below. Much appreciated to the person who helps.

Answers

Answer:

Step-by-step explanation:

x= -3

If Alfonso does a job in 30 hours more than Zoe, and they can do the job together in 8 hours, how long would it take Zoe to do the job alone?​

Answers

Answer:

Step-by-step explanation:

Let the time it will take Alfonso be x

Let the time it will take Zoe be y

If Alfonso does a job in 30 hours more than Zoe, then;

x = 30+y...... 1

Also if they can do the job together in 8 hours, then;

x+y = 8.... 2

Substitute 1 into 2;

x+y=8

30+y+y = 8

40+2y = 8

2y = -32

y = -16

Hence X = 30-16

X = 14

y = 30+14 = 44

hence it will take Alfonso about 44hours to do the work alone

What are the variable term in this expression 6x² +3ry + 3z

Answers

Answer:

x y and z?

Step-by-step explanation:

7,018 mm = 7.018 A. km B. m C. dm D. cm ​

Answers

Answer: B

Step-by-step explanation:

I need help answering this question!

Answers

Answer:

2x+7=-3+2x multiply what’s in the bracket by the negative sign

Collect like terms

2x-2x=-3-7, so

0=-10

Step-by-step explanation:

I hope this is the answer, if it helped please give me brainliest

the length of two sides of a triangle are 8cm and 15cm. between which two numbers will the third side of the triangle lie​

Answers

Answer:

7 and 22

Step-by-step explanation:

The Sum of any Two Sides of a Triangle is Greater than the Third Side.

The third side = x

x < 8 + 15

x < 23

8 < x + 15

Can be any number in between 1 and 22.

15 < x + 8

Should be a number in between 7 and 22.

Amanda's poster is 0.85 meter long. Orlando's poster is 0.55 meter less than 1 meter long. Which expression shows the difference in the lengths of the posters?

A. 0.85−0.55

B. (0.85−0.55)+1

C.0.85−(1−0.55)

D. 0.85−(1+0.55)

Answers

Answer:

i think it is b

Step-by-step explanation:

!!!HELP ME WITH THIS QUESTION PLEASE!!!

Answers

Answer:

1, -5, -14

Step-by-step explanation:

Domain is the x-axis, and range is the y axis.

So plug in the x values (domain values) to the equation.

Answer:

ok really tough

Step-by-step explanation:

ok if you subtract u will get your answer

-3 (x + 10)

HELP
PLEASE

Answers

Answer:

−3X−30

Step-by-step explanation:

REALLY URGENT


There are two types of fish in a lake. These are carp and pike.
In a netted area of the lake 120 carp and 16 pike were caught
In the whole lake it is estimated there are 34 000 fish
Zalika estimated that there are 4000 pike in the lake altogether.
How does Zalika work out this estimate.​

Answers

Answer: Ratios

Step-by-step explanation:

Zalika can work out this estimate by using the ratio of carp to pike that she first caught. This is how to use the ratios:

1) 120 carp : 16 pike --> from given information

2) 136 fish : 16 pike --> add the numbers together to get total fish compared to pike

3) Multiply by 250 --> 34000 divided by 136 is 250

4) 34000 fish : 4000 pike --> 16x250=4000

Evaluate this
(help)

Answers

Answer:

D. [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]3^{-3}[/tex] = [tex]\frac{1}{27}[/tex]. First you need to remove the negative exponent, to do this move the term into the denominator. [tex]\frac{3^{-3} }{1}[/tex] becomes [tex]\frac{1}{3^{3} }[/tex], then solve for [tex]3^{3}[/tex], which equals 27. So your answer is [tex]\frac{1}{27}[/tex].

SOMEONE PLZ HELP ME I HAVE TO TURN THIS IS BY 3:00 TODAY!!!!!
Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card? (Use the table to help you solve the problem; you will need to copy it onto a piece of paper...)
explain your answer down below.

Answers

Answer:

Step-by-step explanation:

There is not a table to look at.

But, if she saves $3 a week. 35/3= 11.6. It'll take her 11.6 or 12 weeks to save up $35.

Answer:

12 weeks

Step-by-step explanation:

She earns $5 each week, but she only saves $3. This would mean that she saves $3 a week and with a end goal of $35, it would take 11.6 weeks, which would round up to 12.

Hope this helps :)

how do you do multiplication in 7th grade mathimatics

Answers

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

Answer:

you should practice your timetables and do some math practice so you could understand other math like division.

Step-by-step explanation:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!

Answers

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

[tex]w\propto n[/tex]

[tex]w=2.5n[/tex]        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

Answer:

45

Step-by-step

I just did 18 * 2.5!

It a simple answer!

The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45

PRE/POST ASSESSMENT
Hector was making a solution. He put the components of the solution into a
beaker. Hector wanted to increase the amount of his solution and at the same
time keep the composition of the solution the same. The new solution will have
84 kilograms of water.
What will be the mass of the sugar in the new solution, in kilograms?
Hector's Solution
Component
Mass
Sugar
9.6 kg
Salt
7.0 kg
A 24.6
Water
12.0 kg
B
39.6
с
49.0
D
67.2
E
98.0

Answers

Answer:

oh wow thats alot

Step-by-step explanation:

Can a number be both rational and irrational? Why or why not?

Answers

Answer:

Step-by-step explanation:

If it is irrational, it can never be rational unless it is acted upon by something else like a power.

Pi, no matter what is done to it, can never be rational.  Once a number is declared as irrational, that is what it remains.

Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.

(-3,5), y=-5x+3

Is it

a. y=10x-5
b. y=-5x-10
c. y=-5x+10
d. y=1/5x-5

Please explain, I did not learn how to do this. Thanks!

Answers

Answer:

B

Step-by-step explanation:

Kinda complex to explain without a graph but its the answer

What’s the absolute value equation for |x+4|=12

Answers

Answer:

8 and -16...............

| x + 4 | = 12 <=> x + 4 = 12 hoặc -x - 4 = 12 <=> x = 8 hoặc x = -16

write the linear equation from the given information in slope intercept form (-1,3); slope=-3​

Answers

Answer:

y = -3x

Step-by-step explanation:

The standard expression of equation of a  line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

Which of the following sets of numbers could NOT represent three sides of a triangle

Answers

Answer:

4, 10, 15

Step-by-step explanation:

Because 4 plus 10 is less than 15

Write an equation of the line that is parallel to x=-11 that passes through the point (-9, 0).

Answers

x=-9

There is no slope in either equation. Therefore, x=-11 and x=-9 will be two vertical and parallel lines at (-11,0) and (-9,0)

12.) Find the x-intercept and y intercept of the following equation.
9x + 6y = -36

Answers

Answer:

Thevalue of x-intercept is 0

and y intercept is-6.

Step-by-step explanation:

here,9x+6y=-36

9x = -36 - 6y

x=(-36 -6y)/9

x=(-12-2y)/9.........(i)

putting value of x in question

9[(-12-2y)/9]+6y=-36

-12-2y+6y= -36

-12+4y= -36

4y=-24

y=-6

puting value of x in equation (i)

x=(-12-2y)/9

x=(-12-2×-6)/9

x=0

I have done your task. But i think it will help you. if it helps please my answer as brainliest answer.

please do .... for my hard work.

HELP!! Combining like terms with rational coefficients
− 2/1 (−3y+10)

Answers

Answer:

6y−20

Step-by-step explanation:

please help will mark brainliest if correct

Answers

Answer:

Step-by-step explanation:

∠A or ∠SAM

Can someone help me with the questions in the picture?

Answers

Answer:

1. x= -4

2. x= 18

3. x= -15

4. x = 6

Step-by-step explanation:

Use relationship of angles to create equations and solve for x

You need to pay attention to see if the sides will be equal to each other or equal to 180

first picture on top left is x = -4

second picture on top right is x = 19/2

third picture on bottom left is x = -5

fourth picture on bottom right is x = 166/41

Complementary and supplementary angles (no visual)
Za and Zb are complementary angles. Za measures 55°.
What is the measure of Zb?
Stuck? Watch a video or use a hint.
Report a problem
Pi
Tea
7 of 7

Answers

Answer:

b=35°

Step-by-step explanation:

complementary angles add up to 90°

a+b=90°

55°+b=90°

-55 -55

b=35°

hopefully this helps :)

The perimeter of a rectangle window is 226 cm. If the length of the window is 62 cm, what is its width?

Answers

Answer:

51 cm

Step-by-step explanation:

perimeter = 2 * length + 2 * width

226 = 2 * 62 + 2 * width

226 = 124 + 2 * width

226 - 124 = 2 * width

102  = 2 * width

102/2 = width

51 = width

Pls I need help with this geometry problem. It's due today.

Answers

Step-by-step explanation:

Yz / RT = SZ / ST

2X +2 / 3X -7 = 35 / 40= 7 / 8

8( 2x+2) = 7( 3x-7 )

16 x +16 = 21x 49

5x = 65

x =13

YZ = 2×13 +2 = 28

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