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
earnstyle [38]
2 years ago
9

The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how ma

ny centimeters long is the smaller leg  
please explain how you got it 

Mathematics
2 answers:
Viktor [21]2 years ago
7 0
Let the smaller leg be x.

Thus, larger leg = 3 +x
Thus, hypotenuse = 6 + x

Applying pythagoras theorum ;

(6+x)^2 = x^2 + (3+x)^2 \\ \\ or, 6^2 + 12x + x^2 = 3^2 + 6x + x^2 \\ \\ i.e., 36 + 12x = 9 + 6x \\ \\ =>6x = 45 \\ \\ => x = 9

Thus, the length of smaller peg is 9 cm.
Natalka [10]2 years ago
5 0
b=a+3\\
c=a+6\\
a^2+b^2=c^2\\\\
a^2+(a+3)^2=(a+6)^2\\
a^2+a^2+6a+9=a^2+12a+36\\
a^2-6a-27=0\\
a^2-9a+3a-27=0\\
a(a-9)+3(a-9)=0\\
(a+3)(a-9)=0\\
a=-3 \vee a=9\\


The length can't be negative, so the answer is 9 cm.

You might be interested in
Help againnn. Yes, I’m kinda slow
Leni [432]

So, the right option is 1. so if my ans was helpful u can follow me.

5 0
3 years ago
Explain and solve .<br>hhhhgghgfghhg​
Aleks [24]

Answer:

mark as brainliest and drop some thanks!!!

5 0
3 years ago
Which of the following statements are never true? Select all that apply. Three points are coplanar Two planes meet in exactly on
statuscvo [17]

Answer: Two planes meet in exactly one point

Two lines meet at exactly two points


Step-by-step explanation:

From the given statements there are two statements which are never true :-

1) Two planes meet in exactly one point .

Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.

2) Two lines meet at exactly two points

Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.


7 0
3 years ago
Select the correct answer.
yaroslaw [1]

Answer:

<h2>D. </h2><h2>{x | x = all real numbers}</h2>

Step-by-step explanation:

The domain of a function is the set of input or argument values for which the function is real and defined.

The function has no undefined points nor domain constraints. Therefore, the domain is

-\infty \:

\mathrm{Domain\:of\:}\:2\left|x-1\right|+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

4 0
2 years ago
Which statment explains how the lines x+y=2 and y=x+4 are related?​
Nata [24]

Answer:

they are perpendicular

Step-by-step explanation :

<u>If you graph both equations you will see that they Intersect with each other.</u><u> </u>

3 0
2 years ago
Other questions:
  • How do you find the probability of the sum of 6 when rolling a die?
    10·1 answer
  • Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.
    14·2 answers
  • Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have al
    13·1 answer
  • Help is the answer of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B4%7D%7B5%7D" id="TexFormula1" title="
    11·1 answer
  • Solve the equation for x by graphing.-4x-1 5x=4
    5·1 answer
  • F(x) = 3 x e^2x<br>That's the problem​
    8·2 answers
  • What is the ordered pair of the midpoint of a segment with endpoints at (3, 10) and (7,<br> 20)?
    12·1 answer
  • I need help on this ASAP
    10·2 answers
  • Me pueden ayudar porfa
    6·1 answer
  • Select all the expressions that hace a value of 28:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!