The hypotenuse of a right triangle is 10 inches long. One of the legs is 2 inches longer than the other one. If x is the length of the shorter leg, what is the equation

Answers

Answer 1

Answer:

The equation is

X²+2x-48 = 0

Shorter one is 6 inches

Other side= 8 inches

Step-by-step explanation:

The equation for a right angle triangle normally is

A² = B² + C²

Where A = hypotenuse

Then B and C are the order sides of the triangle.

This time

Hypotenuse= 10 inches

The shorter one is X

While the other one is X+2

The equation

10²= x² +(x+2)²

100= x² + x² + 4x +4

100 - 4 = 2x² +4x

96= 2x² +4x

48 = x² +2x

X²+2x-48 = 0

Solving for x

X² +8x-6x-48= 0

X(x+8)-6(x+8)=0

(X-6)(x+8)= 0

X= 6 or x= -8

Definitely x is posiy

So x= 6

Shorter one is 6 inches

Other side= 6+2= 8 inches


Related Questions

BRAINLY I NEED HELP ASAPPPP!!
After game 6, her mean number of points scored per game is 9.
How many points did Maya score in game 6?

A. 4
B. 8
C. 9
D. 10

Answers

Answer:

b

Step-by-step explanation:

8

Which words or phrases define a ray [Geometry]

It consists of two end points

It goes in one direction and indefinitely

It’s an undefined term

It consist one endpoint

You used to points to name it

It consist of all points in between the two points

Answers

Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.

1 mile to yards, as a fraction..

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Since 3 feet is a yard, one foot is 1/3.

So that is the answer.

Answer:

1/3

1 mile to yards as a fraction would probably be 1/3. I'm not so sure...

Which of the following is a statistical question? A. What state were you born in? B. How tall is Ms. Lin? C. What are the ages of the students in your class? D. What is the formula for the circumference of a circle?

Answers

Answer:

C

Step-by-step explanation:

makes sense

Acellus
x = [?]°
1040
1170
X
124°
1000
Hint: Sum = (n-2)180

Answers

Since the sum of the interior angles of a polygon of n sides is (n-2)*180 degrees.

Here n=5 (polygon), so that sum is (5-2)*180 degrees, or 3*180 degrees, or 540 degrees.

Adding up the 5 interior angles shown, we get
Sum = (n-2)*180 =540
100 + 117 + 104 + 124 + x = 540 (degrees).
217 + 228 + x = 540 (degrees).
445 + x =540
Thus, x = 540 - 445 degrees, or x = -4 degrees.

Answer is x = -4

Answer:

x = 95°

Step-by-step explanation:

The sum of the interior angles of any polygon is

sum = 180° (n - 2)

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles in the polygon and equate to 540

104° + 117° + 100° + 124° + x = 540°, that is

445° + x = 540° ( subtract 445° from both sides )

x = 95°

hellllllllpppppp - Which expression is equivalent to x+x+y+y+3(2+4)?
A . 2x+2y+18
B.18x+18y
C. 4xy+10
D.22xy

Answers

Step-by-step explanation:

x + x + y + y + 3(2 + 4)

= 2x + 2y + 3(6)

= 2x + 2y + 18

los números reales se representan por​

Answers

Los números reales están representados por números racionales e irracionales.

Un número racional es un número real que se puede formar dividiendo dos números enteros (un número entero es un número sin parte fraccionaria). La palabra viene de "ratio".

Un número irracional es un número real que NO se puede hacer dividiendo dos números enteros (un número entero no tiene parte fraccionaria). "Irracional" significa "sin relación", por lo que no es un número racional.

¡Espero eso ayude!

HELP ASAP PLEASE Question 1 Part A What inference can be made about the "Using Our Imaginations" section in the Newsela article "Health Benefits of Reading, Writing, Are Not Just for Patients"? Part B Which evidence best supports the answer in Part A? “Reading stories is a chance for children and adults to talk about the complicated parts of life.”

Answers

The answer to the first one is A and the second one is D

(I took the test)

Answer:

Fist one:

A

Second one:

D

Step-by-step explanation:

→!Hope this helps I toke the test!←

Twice the sum of six "x" and seventy eight.

Answers

Answer:

2(6x+78)

Unless it's the exact number. You hadn't specified what x is.

Find 3/5 x 4/7 in simplest form

Answers

Answer:

3/5 * 4/7 = 12/35

you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator

[tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.

First, let us write the given fractions properly

That is,

[tex]\frac{3}{5} \times \frac{4}{7}[/tex]

Now, we will carry out the multiplication operation

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}[/tex]

Then, we get

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}[/tex]

(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)

Hence, [tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

Learn more here: https://brainly.com/question/13124034

evaluate the numerical expression. 8 X {[(7 + 4) X 2] - [(11 - 7) X 4]}

Answers

Answer:

48

Step-by-step explanation:

To solve this we need to do the operations in the brackets first. We should start with the innermost brackets. Then, we work our way outwards. To show my working out I will use an asterisk (*) for multiplication to not confuse X as a variable.

8*{[(7 + 4) * 2] - [(11 - 7) * 4]}  

= 8*{[(11) X 2] - [(4) X 4]}

= 8*{[22] - [16]}

= 8*{6}

= 48

How do you do this question?

Answers

Step-by-step explanation:

F(x) = ∫ₐˣ t⁷ dt

F(x) is the area under f(t) between t=a and t=x.  When x=a, the width of the interval is 0, so the area is zero.

F(6) = 0, so a = 6.

F(x) = ∫₆ˣ t⁷ dt

F(6) = ∫₆⁶ t⁷ dt

F(6) = 0

Find the sum. r/r^2-q^2 + 5/r+q​

Answers

Answer:

The answer is:  

[tex]\frac{6r-5q}{r^2-q^2}[/tex]

which agrees with the last answer option (D) in the list.

Step-by-step explanation:

In order to add rational expressions, we need to express them with the same denominator. Therefore we examine what factors there are in the first denominator, which happens to be a difference of squares which is readily factored out as:

[tex]r^2-q^2=(r+q)\,(r-q)[/tex]

the second denominator consists of only one of these factors: [tex](r+q)[/tex], then in order to express both rational expressions with the same common denominator, we multiply numerator and denominator of the second fraction by the factor: [tex](r-q)[/tex]

Then we get two expressions that can be easily added as shown below:

[tex]\frac{r}{(r+q)\,(r-q)} +\frac{5\,(r-q)}{(r+q)\,(r-q)} =\frac{r+5(r-q)}{(r+q)(r-q)} =\frac{r+5r-5q}{(r+q)\,(r-q)} =\frac{6r-5q}{r^2-q^2}[/tex]

Math Math Math Math Math

Answers

Answer:

see below

Step-by-step explanation:

sqrt(2)+ sqrt(98)

sqrt(2) + sqrt( 2*49)

sqrt(2) + 7sqrt(2)

8 sqrt(2)

Answer:

[tex]\sqrt{2}[/tex]+ [tex]\sqrt{98}[/tex]

 [tex]\sqrt{2}[/tex]+   [tex]\sqrt{2}[/tex] *49

[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex]

8 [tex]\sqrt{2}[/tex]

Express the given expanded numeral as a Hindu-Arabic numeral.
(1x 10-1) + (4x10-2) + (9x10-3) + (7x10-4)
(1x 10-1) + (4x10-2) + (9x10 -3) + (7x10-4)=Type an integer or a decimal.)

Answers

Answer:

  0.1497

Step-by-step explanation:

1×.1 +4×.01 +9×.001 +7×.0001 =

.1 +.04 +.009 +.0007 = 0.1497

Can someone help me plssss???

Answers

Yes the answer is 10

What is the value of x?
3
6
10
12

Answers

Answer:

value of x is 6.

please follow me.

Your answer would be B- 6. Hope this helps you!!

Angle 1 and Angle 2 are complementary. The measure of Angle 1 is 21
more than twice the measure of Angle 2. Find the measure of Angle 1

Answers

Since both angles are complementary, then Angle 1 + Angle 2 = 90°

Using algebra,

let Angle 2 be X and Angle 1 be (2X + 21°)

Now we have an equation of,

( 2X + 21 ) + X = 90°

step 1 : open up the brackets first.

step 2 : bring 21° to the other side (rmb to flip the sign)

step 3 : bring the 3 over n it becomes " ÷3 "

( 2X + 21° ) + X = 90°

2X + 21° + X = 90°

3X = 90° - 21°

X = ( 90° - 21° ) ÷ 3

= 23°

Sub X=23° into Angle 1 ( 2X + 21° ),

2(23°) + 21° = 67°

Therefore,

Angle 1 = 67°

i hope my solution helps :))

A lorry driver charges $1800 to carry 60 tonnes of weight. How much will he charge for carrying 80 tonnes at the same rate

Answers

Answer:

$2400

Step-by-step explanation:

60 tonnes = $1800

80 tonnes = $?

= 1800 × 80/60

= $2400

Step-by-step explanation:

$2400 to Carry 80tonnes of weight

suryana bought 16 watches for rs 16000. At what rate should he sell the watches to gain rs 3200?​

Answers

Answer:

Step-by-step explanation:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Answer:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Step-by-step explanation:

What is the slope of the line?

Answers

La pendiente de una recta es la tangente del ángulo que forma la recta con la dirección positiva del eje de abscisas. En funciones no lineales, la razón de cambio varía a lo largo de la curva. La derivada de la función en un punto dado es la pendiente de la línea tangente en dicho punto.

F:V  7w7

After your yearly checkup, the doctor has some bad news and some good news. The bad news is that you tested positive for a serious disease, and the test is 99% accurate( i.e. that probability of testing positive given that you have the disease is .99, as is the probability of testing negative given that you don’t have the disease). The good news is that this is a rare disease, striking only one in 10,000 people. What are the changes that you actually have the disease?

Answers

Answer:

0.009804

Step-by-step explanation:

We are given;

probability of testing positive given that you have the disease is 0.99

Also, probability of not testing positive and not having the disease is 0.99

We are also told that it is a rare disease and so strikes only 1 in 1000 people = 0.0001

Let's denote positive test by T+, negative test by T¯, having the disease by D+, not having the disease by D¯.

So, we can now denote all the values in probability we have written earlier.

Thus:

P(T+ | D+) = 0.99

P(T¯ | D¯) = 0.99

P(D+) = 0.0001

Thus, P(D¯) = 1 - P(D+) = 1 - 0.0001 = 0.9999

Now, let's find probability of testing positive;

P(T+) = (P(T+ | D+) × P(D+)) + (P(T+ | D¯) × P(D¯))

Now, (P(T+ | D¯) is not given but by inspection, we can infer from the values given that it is 0.01

Thus;

P(T+) = (0.99 × 0.0001) + (0.01 × 0.9999)

P(T+) = 0.010098

Chances that one has the disease would be gotten from Baye's theorem;

P(D+ | T+) = (P(T+ | D+) × P(D+))/P(T+) = (0.99 × 0.0001)/0.010098 = 0.009804

Angles Find the values of x and y

Answers

Answer:

15 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

11x - 6 + 15x - 8 = 90

26x - 14 = 90

26x = 104

x = 4

11(4) - 6 = 44 - 6 = 38

13y - 14 + 38= 180

13y + 24 = 180

13y = 156

y = 12

13(12) - 14 = 156 - 14=142

Homer and Bart plan to buy one computer for $499.00 strictly for gaming purposes. Games cost $49.99 each. Part A: Define each variable and write an algebraic expression to describe how much they will spend before sales tax, based on purchasing the computer and the number of games. Part B: If they purchase one computer and five games, how much do they spend before sales tax? Part C: Homer and Bart have friends. They want to purchase extra controllers. Each controller costs $24.99. Use an algebraic expression to describe how much they spend in total (before sales tax) when they purchase one computer, when they purchase any number of games, and when they purchase any number of extra controllers. Part D: What would be the total cost, before sales tax, if Homer and Bart purchase one computer, four games, and three extra controllers?

Answers

Answer:

use 499.00+the number of games times 49.99

Step-by-step explanation:

Please brailiest

please help o.o ¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯(┬┬﹏┬┬)(┬┬﹏┬┬)(┬┬﹏┬┬)Simplify 3x - 4 - 5x = 6 + 4x + 2

Answers

Bring all the X to the left side and all the numbers to the right side. ( remember to flip the signs )

3x - 4 - 5x = 6 + 4x + 2

3x - 5x - 4x = 6 + 2 + 4

-6x = 12

6x = -12

x = -2

Can someone help me pls!

Answers

This question is about how transformations can affect graphs.

First, we'll want to get rid of that -4 on the function of F.

So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph [tex]x^2[/tex].

Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.

Finally, we can move the function of by [tex]\frac{2}{3}[/tex] because the d value is positive, meaning that we move the graph up.

Hope this helps.

頑張って!

if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 hours?​

Answers

Answer:

48 miles

Step-by-step explanation:

run -- 4 hrs at 8 mph = 4 • 8 = 32 miles

walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles

32 + 16 = 48 miles

4 hours, 8 miles per hour. 8 times 4 equals 32. 8 hours, two miles an hour. 2 times 8 equals 16. Add them up, and you get 48 miles, which is the final answer.

Han wants to convert his Canadian dollars to euros for his trip to France. He has 252 Canadian dollars. The current exchange rate is 1.28 Canadian dollars per euro. How many euros will he have?

Answers

Answer:

196.88 euros

Step-by-step explanation:

Divide 252 by 1.28

252/1.28

= 196.88 euros

Factorise P(2m+n)+(q-r)(2m-n)

Answers

Answer:

2Pm+Pn+2qm-qn-2rm+rn

Step-by-step explanation:

What are the correct intermediate steps of the following data set when it is being sorted with the bubble sort? 15, 20, 10, 18
A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20
B. 10, 20,15,18 -- 10,15,20,18 -- 10,15,18,20
C. 15,20,10,18 -- 15,10,20,18 -- 10,15,20,18 -- 10,15,18,20
D. 15,18,10,20 -- 10,18,15,20 -- 10,15,18,20 -- 10,15,18,20

Answers

Answer:

A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Step-by-step explanation:

Bubble sorting can be defined as a technique or methodology whereby numbers that are not in their proper order are sorted into proper order that is from smallest to highest( increasing to decreasing order).

The method of bubble sorting involves the shuffling or swapping of adjacent numbers until the numbers are well sorted or arranged.

In the above question, we were given, a set of numbers:

15, 20, 10, 18

Step 1

20 is adjacent to 10

20 > 10

hence we swap

= 15,10,20,18

Step 2

From, 15,10, 20,18

20 is adjacent to 18

20 > 18

hence we swap

= 15,10,18,20

Step 3

From step 2, which gave us 15,10,18,20

15 us adjacent to 10

15 > 10

We swap

= 10,15,18,20

Hence,

15, 20, 10, 18 -- 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Therefore, Option A is the correct option.

The correct intermediate steps of data 15, 20, 10, 18 set when it is being sorted with the bubble sort is; Choice A: 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20.

Definition;

Bubble sort, otherwise termed the sinking sort, is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order.

With emphasis on the word adjacent, it is evident Choice A is the correct intermediate steps of the data set 15, 20, 10, 18 when it is being sorted with the bubble sort.

Read more:

https://brainly.com/question/15148294

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