1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stells [14]
3 years ago
9

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the trian

gle? Check all that apply.
a
x2 + 2x – 24 = 0

b
x(x + 2) = 24
c
x2 + (x + 2)2 = 100

d
0.5(x)(x + 2) = 24
e
x2 + 2x – 48 = 0

f
x2 + (x + 2)2 = 24
Mathematics
2 answers:
liberstina [14]3 years ago
5 0

Answer with explanation:

It is given that area of right triangle is 24 square feet

Since Sides of any triangle is always Positive.So, we have to find those equation among six options , which gives two positive Integral values,as area of right triangle is equal to product of base length and Corresponding Altitude.

Starting from option 1

⇒1. x² +2 x - 24 =0

 Splitting the middle term

→x²+6 x - 4 x -24=0

→x×(x+6)-4×(x+6)=0  

→(x-4)(x+6)

By substituting the expression equal to , 0, we will get one positive zero and one negative Zero so , it can't be the equation which can be sides of right triangle

Option B:

→x×(x+2)=0

Gives, two zeroes which are equal to 0 and , -2 So, it is also not that expression which gives sides of right triangle, when area =24 square feet

Option C:

x²+ (x+2)×2=100

x²+2 x +4-100=0

x²+2 x-96=0

x=\frac{-2 +\sqrt{2^2\pm 4 \times 96}}{2}\\\\x=\frac{-2 \pm\sqrt{4+384}}{2}

It will give one Positive zero and one negative zero ,so it can't be the equation which gives length of legs of right triangle.

Option D:

0.5 × x×(x+2)=24,

as 0.5 is equal to \frac{1}{2}

x²+2 x -48=0

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

The two zeroes are , such that one of them is positive and other is negative.So this is not the equation which can be used to find the lengths of the legs of the right triangle.

⇒Option E.

x²+2 x - 48=0

Same as option D

It cant be the expression which can be used to find the lengths of the legs of the triangle.

⇒Option F:

x²+(x+2)×2=24

x²+2 x +4-24=0

x²+ 2 x -20=0

x=\frac{-2\pm \sqrt{2^2-4 \times (-20)\times 1}}{2}

It will give one positive zero and one negative zero , so it can't be the equation which can be used to find the lengths of the legs of the triangle.

→→None, of the option can be used to find the length of sides of right  triangle when area is equal to 24 square feet because none of them gives two positive Integral value.

Yuri [45]3 years ago
4 0
Not sure, but the areas of a triangle is BH/2 so the dimensions should be 8 and 6 then 10.
8 x 6 = 48
48/2 = 24
Maybe that can help with the equation
You might be interested in
R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​
statuscvo [17]
<h2><em><u>Solution</u></em> : </h2>

let the last number be x

we know,

\boxed{mean =  \frac{sum \:  \: of \:  \: all \:  \: observations}{number \:  \: of \:  \: observations} }

So,

\hookrightarrow \: 8 =  \dfrac{22 + x}{4}

\hookrightarrow \: 8 \times 4 = 22 + x

\hookrightarrow \: 32 = 22 + x

\hookrightarrow \: x = 32 - 22

\hookrightarrow \: x = 10

therefore, the last number is 10.

7 0
2 years ago
Can someone help me with this problem?
Nadusha1986 [10]

Increasing is= [0,90], [270,360]

Decreasing is=[90,270]

Concave up=[180,360]

Concave down=[0,180]

8 0
3 years ago
PLEASE HELPPPP
Illusion [34]

Answer:

  • p = 3/10

Step-by-step explanation:

<u>Given equation:</u>

  • 20p = 6

<u>Divide both sides by 20:</u>

  • p = 6/20

<u>Simplify:</u>

  • p = 3/10
6 0
2 years ago
Read 2 more answers
Will mark as brainliest if correct
Dvinal [7]
5= 7 ^x
X=ln5/ln7
X=0.827
5 0
3 years ago
Five athlete are entered into a competition. Four of the athlete have had their turns. Their scores are 9.8 seconds, 9.75 second
Naddika [18.5K]
What is the fourth persons time and, with these numbers it should be anything lower than 9.75.
3 0
3 years ago
Other questions:
  • What is 25/38 simplified
    11·1 answer
  • (Zoom in) I’m just typing cause it needs to b 20 characters long.
    12·1 answer
  • write an addition equation and a subtraction equation that compares the number of miles Matt ran on Thursday (x) to the number o
    13·1 answer
  • 8x-4=2x+6(4+2)<br><br> HELP PLEASE, ASAP
    13·1 answer
  • The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top o
    6·2 answers
  • A wooden flooring strip is 20 1/2 inches long. If you cut off 4 3/4 inches from one end what will be the new length of the strip
    9·1 answer
  • A quadratic function is shown.
    13·1 answer
  • Find the missing side length.
    5·1 answer
  • Azizah got 1 for the slope of the line through points (1, 2) and
    8·2 answers
  • Plz help first to answer gets 50 points
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!