Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

Which equation can be used to find x, the length of the shorter leg?

x(x + 7) = 13
x(x + 7) = 169
x2 + (x + 7)2 = 13
x2 + (x + 7)2 = 169

Answers

Answer 1

Answer:

x(x + 7) = 169

Step-by-step explanation:

We are given that

Let length of shorter leg of right triangle = x ft

Length of other leg = x+7 ft

Hypotenuse of right triangle = 13 ft

We have to find the equation which can be used to find x, the length of shorter leg.

By pythagorous theorem

(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

Substitute the values then, we get

(13)^2=x^2+(x+7)^2

x^2+(x+7)^2=169

This is required equation which can used to find x.

Answer 2

Answer:

d. x2 + (x + 7)2 = 169

Step-by-step explanation:

use Pythagorean theorem, substitute in the given values, and you get this


Related Questions

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square? 1 6 8 9

Answers

Answer:

easy

Step-by-step explanation:

8

Answer:

its 8

Step-by-step explanation:

Enter an inequality that represents the graph in the box.

Answers

Answer:

stop cheating

Step-by-step explanation:

get smart

Help pls :(


Solve for x.
-4 + 3x = 20

Answers

Answer:

x = 8

Step-by-step explanation:

Given

- 4 + 3x = 20 ( add 4 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-4 + 3x = 20}\\\rightarrow\large\textsf{3x - 4 = 20}\\\\\large\text{ADD 4 to BOTH SIDES}\\\large\textsf{3x - 4 + 4 = 20 + 4}\\\large\text{CANCEL out: \textsf{-4 + 4} because that gives you \textsf 0}\\\large\text{KEEP: \textsf{20 + 4}} \text{ because it gives you the \textsf{x-value}}}\\\\\large\textsf{20 + 4 = \bf 24}\\\\\large\text{DIVIDE 3 to BOTH SIDES}\\\\\mathsf{\dfrac{3x}{3}= \dfrac{24}{3}}\\\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you \textsf 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps gives you the result of the \textsf{x-value}}\\\\\mathsf{x = \dfrac{24}{3}}\\\\\large\textsf{x= 24}\div \large\textsf{3}}\\\large\textsf{x = \bf 8}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 8}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

name all sets of number for -15

Answers

Answer:

all negative number to -15

What is 6/10 + 9/10 in simplest form?

Answers

Answer: 3/2

Step-by-step explanation:

Given

6/10 + 9/10

Add the numerator together

= (6 + 9) / 10

Simplify by addition

= 15 / 10

Simplify to simplest form by division

= (15 ÷ 5) / (10 ÷ 5)

= 3 / 2

Hope this helps!! :)

Please let me know if you have any questions

Hello there! The answer is:

3/2 OR  1 1/2

Step-by-step explanation:

With like denominators we can add the numerators.

6 + 9 = 15.

Then that answer over the denominator which gives us 15/10. Then simplifying the answer.

That gives us: 3/2 = 1 1/2

I hope this answer helps you out. Let me know if you have any questions/concerns.

Rachel's birthday party will cost $18 if she invites 6 guests. What is the unit rate?

Answers

Answer:

3

Step-by-step explanation:

Answer:

$3 per guest

Step-by-step explanation:

18/6

= 3

142°
3xº + 220
X =
degrees.

Answers

Step-by-step explanation:

hope it will help you market is brilliant

Help with both plz :)

Answers

Step-by-step explanation:

Concept Required :-

BODMAS

Brackets , Of , Division , Multiplication , Addition , Subtraction .

Solution 9:-

We are here given ,

32 ÷ 10 - 8 ÷ 2 -3

Putting brackets after and before 10 -8

32 ÷ ( 10 - 8 ) ÷ 2 - 3

On simplifying,

32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5

Expression :- 32 ÷ (10 -8) ÷ 2 - 3

Solution 10 :-

We are given,

1/2 × 12 ÷ 2 - 2 + 11

Putting brackets ,

1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113

Expression :- 1/2 × (12 ÷ 2 - 2 ) +11

Step-by-step explanation:

1. 32 ÷ 10 - 8 ÷ 2 - 3

32 ÷ 2 ÷ 2 - 3

16 ÷ 2 - 3

8 - 3

5

2.

½ × 12 + 2 - 2 + 11

6 + 2 - 2 + 11

19 - 2

17

What is the scale factor of this dilation?

A 2/3

B 1 1/2

C 3

D 5

Answers

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

Find the slope of the line that passes through the following points: (0, -3), (-6,8) ​

Answers

Answer:

-11/6

Step-by-step explanation:

To find the slope, we use the formula

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

   = ( 8- -3)/( -6 - 0)

   = (8+3)/(-6-0)

  = 11 / -6

 = -11/6

Solve the system by substitution.
y = -3x + 17
2x + 3y = -5

Answers

Answer:

(8, -7)

Step-by-step explanation:

Hi there!

We are given this system:

y=-3x+17

2x+3y=5

And we want to solve the system

Let's solve it by substitution.

In the first equation, we are given y=-3x+17, which we can substitute -3x+17 as y into the second equation

2x+3(-3x+17)=5

Now do the distributive property

2x+-9x+51=-5

Combine like terms

-7x+51=-5

Subtract 51 from both sides

-7x=-56

Divide both sides by -7

x=8

Now substitute 8 as the value of x in y=-3x+17 to find the value of y

y=-3(8)+17

y=-24+17

y=-7

The answer is x=8, y=-7. If you need it as a point, it's (8, -7)

Hope this helps!

Simplify 6 - (-2) - 3(-5).

-11
-7
19
23

Answers

Answer:

23

Step-by-step explanation:

6-(-2)-3(-5)

you first have to multiply the signs

a negative×a negative is a positive.positive times negative is negative, positive times positive is positive.

so for this question

6+2+15

23

I hope this helps

23 is the answer

Explanation:
6-(-2)= 8 because negative and negative becomes positive so we add them.
-3(-5) = 15 because we have to multiply -3 by -5 which is 15 because when we multiply 2 negative numbers we get a positive
Now:
15 + 8 = 23

Mary has borrowed 48 books from the library. This is 22% of all of the books in the library. How many books are in the library?

Answers

Answer:

218

Step-by-step explanation:  

ATQ,

22%of total books = 48

Let the total no. of books in library be x.

22/100x=48

x=4800/22

X=218(approximately)

HELP PLEASE ASAP
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for 1 year or less?

6 schools
8 schools
12 schools
14 schools

Answers

Answer:

6 schools

Step-by-step explanation:

The answer is 6 schools.

In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.

The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.

To make an equation we need to set 100% = 24 and solve for 25% :

[tex] \frac{25}{100} = \frac{x}{24} [/tex]

solvr and x=6

Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year. ​

Answers

Answer:

With new regime is 183,750Rs

Step-by-step explanation:

I. 75,000 * 13 [12 months + 1 month bonus] = 975,000

II. Ms.Gurung tax rate will be ₹37500 + 15%

III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250

IIII. ₹37500 + 146,250 = 183,750Rs

It depends on how tax rate will costs, could be more or less.

Need help ASAP!!!Please explain how to solve the problem

Answers

Answer:

Step-by-step explanation:

Geometry, please answer question ASAP

Answers

Answer:

XY = 24

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio.

[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]

Cross multiply,

(x + 6 )(2x-4) = 16*30

Use FOIL method

x*2x + x*(-4) + 6*2x + 6*(-4) = 480

2x² - 4x + 12x - 24 = 480  {Combine like terms}

2x² + 8x - 24 = 480

2x² + 8x - 24 - 480 = 0

2x² + 8x - 504 = 0

Divide the entire equation by 2

x² + 4x - 252 = 0

Sum = 4

Product = -252

Factors = 18 , -14   {18 +(-14) = 4  & 18*(-14) = -254 }

x² + 4x - 252 = 0

x² + 18x - 14x - 252 = 0  {Rewrite middle term}

x(x + 18) - 14(x + 18) = 0

(x + 18)(x - 14) = 0

x - 14 = 0           {Ignore x + 18 = 0 as measurement will not come in negative}

x = 14

XY  = 2x - 4

    = 2*14 -4

     = 28 - 4

       = 24

Find the third angle of a triangle if two of its angles are equal to:

25 degrees and 80 degrees

and

25 degrees and 120 degrees

Answers

Answer:

60 degrees

Step-by-step explanation:

Answer:

75 degrees, 35 degrees

Step-by-step explanation:

a. Adding 25 degrees and 80 degrees yields 105 degrees.  The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.

b. Adding 25 degrees and 120 degrees yields 145 degrees.  The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Question 2 options:

(x,y) → (x – 4,y)


(x,y) → (x,y + 4)


(x,y) → (x,y – 4)


(x,y) → (x + 4,y)

Answers

Answer:

(x,y+4)

Step-by-step explanation:

This shows a translation of 4 units up, so the y coordinate increases by 4. Please mark brainliest as I need 1 more to move up. It would be much appreciated.

Answer:B

Step-by-step explanation:

Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)?

Answers

Answer:

(1c times 9/5) +32

That is the way  to figure out °1c as 33.8°

Hope it helped

. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13

Answers

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

g(x) will be put on the place of x

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

name least to greatest
3780
3.78
0.378
378
0.0378

Answers

Answer:

0.0378

0.378

3.78

378

3780

Answer: 0.0378, 0.378, 3.78, 378, 3780

Step-by-step explanation:

Find the measure of the numbered angles.
Angle 1 =
Angle 2 =
Angle 3 =
Angle 4 =
Angle 5 =
Angle 6 =
Angle 7 =
Angle 8 =

Answers

Explanation in pictures.

Hope this helps!! Have a good day!

17. Find an equation of the straight line that is perpendicular to x - y = 5 and passes through the point (8, -1).

18. Find the equation of the line in slope-intercept form that passes through the points (12, 4) and (4, 6)

Answers

Answer:

17.y=-x+12

18.y=-1/4x+7

Step-by-step explanation:

17.a Solve for y (y=-5+x)

17. b Reciprocal (y=-1x-5)

17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)

18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope

18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.

18. c=y=-1/4x+7

A waitress pours 3/4 gallon of orange juice equally into 5 pitchers. what fraction of a gallon of orange juice is in each pitcher?

Answers

Answer:

15/100

Step-by-step explanation:

3/4 or a gallon is equal to 75/100

Because its 5 pitchers we divide by 5 and 75 divided by 5 is 15

(b) Work out the probability Jennifer hits the Bullseye at least once.


Can someone work this out for me ?

Answers

Answer:

1/2

Step-by-step explanation:

Filling out the tree diagram,

On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between

(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4

For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put

100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3

For Jennifer to hit the bullseye at least once, she must either:

- Hit and then hit

- Hit and then miss

- Miss and then hit

From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:

- Hit the first one

- Miss and then hit

In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is

(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have

(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once

* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.

Help me pleaseeeeeeee

Answers

Answer:

The surface area is:

276cm^2

Step-by-step explanation:

10x5=50x2=100

4x5=20x2=40

10x4=40x2=80

100+40+80=220

6x2=12x4=48

2x2=4x2=8

48+8=56

220+56=276

Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2

Answers

Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]

Work Shown:

[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]

This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]

The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
X
oc
Answer: 2
Submit Answer
Just need some help

Answers

Answer:

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

Step-by-step explanation:

45 - 45 - 90 Triangles

When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]

So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.

[tex]\frac{1}{\sqrt{2} }[/tex]  rationalize denominator.

[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex]  =  [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] =  [tex]\frac{\sqrt{2}}{2}[/tex]

which kind of triangle is shown?
A. Acute isosceles
B. Right scalene
C. Right isosceles
D. Acute scalene

Answers

Answer: B

Step-by-step explanation:

Acute isosceles: angle less than 90, 2 equal sides

Right scalene: right angle, different side lengths

RIght isosceles: right angle, 2 equal sides

Acute scalene: angle less than 90, different side lengths

Other Questions
Which proportion resulted in the equation 3a = 7b? The relationship between miles and kilometers is shown in the table below.MilesKilometers18.229.1229.547.2034.154.5652.884.48How many miles are in 19.08 kilometers?11.92517.4820.6830.528 rt this question on a NEW page Give ONE word/tem for each of the following descriptions by choosing a word/term from the list below. Write only the word/term next to the question numbers (1.1.1. to 1.1.5) in the ANSWER BOOK, e.g. 1.1.6 casement curiog: electroplating: . galvanising; powder coating; paint; turpentine; sanding sealer 1.1.1 Available in a water- or oil-based liquid 1.1.2 Allows concrete to achieve its optimal strength 1.1.3 Coating a metal by the process el electrolysis 1.1.4 Can be melted again because nc chemical process is involved 1.1.5 Adds strength to the original uncoated metal FIGURE 1.2 below shows equipment that is used on a construction site Botulism is a potentially fatal foodborne disease caused by the bacterium Clostridium botulinum. C. botulinum produces different toxins, several of which are proteases that cleave neuronal SNARE proteins. What normal process is blocked by cleavage and inhibition of SNARE proteins? a) docking of vesicles to target membranes entry of proteins with ER b) signal sequences into the ER c) lumen fusion of vesicles with target membranes d) budding of vesicles from the endoplasmic reticulum PLEASE HELP ASAP! What is the value of x in the inequality start fraction seven plus two x over five end fraction minus three less than x ?A. x greater than negative start fraction eight over three end fractionB. x less than negative start fraction eight over three end fractionC. x greater than start fraction eight over three end fractionD. x less than negative start fraction three over eight end fraction Hy gip ti ln bi tp ny A student winds a strip of paper eight times around a cylindrical pencil of diameter 7mm use the value 22/7 as pie to find the length of the paper Liquid to solid with explanation on the basis of kinetic model and freezing point. help lol i need it for nowww Classifying Liability-Related Accounts into Balance Sheet or Income Statement Indicate the proper financial statement classification (balance sheet or income statement) for each of the following liability-related accounts. Account Financial Statement a. Gain on Bond Retirement Answer Income statement b. Discount on Bonds Payable Answer Balance sheet c. Mortgage Notes Payable Answer Balance sheet d. Bonds Payable Answer Balance sheet e. Bond Interest Expense Answer Income statement f. Bond Interest Payable (due next period) Answer Balance sheet g. Premium on Bonds Payable Answer Balance sheet h. Loss on Bond Retirement Answer Income statement Check I(a.have been b.has been c.will have been)to boracay by next year. ~~~~NEED HELP ASAP~~~~Block A slides into block B along a frictionless surface. They are moving in the direction from left o the right. Block A= 3kg Block B= 4kg Block A velocity before collision =30m/s. Block B velocity before collision = 15 m/s The velocity of block B after the collision is 20m/s.a.) What is the velocity of block A after collision?b.) Is the collision elastic? Show work to explain answer why or why not. Identify the structure you are consuming when you eat each of the following vegetables. Match the words in the left column to the appropriate blanks in the sentences on the right. a. stem b. taprootc. lateral buds d. modified steme. leaf (petiole and blade)f. petiole 1. Asparagus 2. Brussels sprouts 3. Celery 4. Spinach 5. Carrot 6. Potato The Production Department of Hruska Corporation has submitted the following forecast of units to be produced by quarter for the upcoming fiscal year: 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Units to be produced 10,400 9,400 11,400 12,400 Each unit requires 0.25 direct labor-hours and direct laborers are paid $12.00 per hour. In addition, the variable manufacturing overhead rate is $1.70 per direct labor-hour. The fixed manufacturing overhead is $84,000 per quarter. The only noncash element of manufacturing overhead is depreciation, which is $24,000 per quarter.Required: 1. Prepare the companys direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. Prepare the companys manufacturing overhead budget. Please explain absolute values? How are Newtons 1 and 2 law related? tm nghin ca a thc A.x-2B.2x-7C.(X-4)*(2-3X HELP ASAP?the two answers not showing on screen areC:y A molecule with the formula AX 4 uses ________ to form its bonds. sp2 hybrid orbitals sp3d hybrid orbitals sp3 hybrid orbitals sp3d2 hybrid orbitals sp hybrid orbitals A cubical house can hold 4096m of air .find the height of the house