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
Law Incorporation [45]
2 years ago
14

A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm

) for the third side?
A. 8 mm or less
B. between 9 mm and 53 mm
C. 54 mm or more
D. not possible
Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
6 0

Answer: between 9 mm and 53

Step-by-step explanation:

U do 23 - 31 you get 8 then you do 23 + 31

You might be interested in
Which type of statement switches and negates the hypothesis and the conclusion of the original conditional statement?
valentinak56 [21]
Inverse

Inverse - is a conditional statement that NEGATES both the hypothesis and the conclusion of the original conditional statement.
8 0
3 years ago
The cost to a rent paddle boat at the county park is $8 per hour if x represent the number off hours the boat is rented and for
bazaltina [42]

Answer:

10+8x=y

Step-by-step explanation:

The 10$ is added on because it's a one time exchange and the 8 is multiplied by the x because for every hour you add 8$ to the price and y is the total price at the end depending on x.

4 0
2 years ago
Solve<br><img src="https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B1%7D%7Bp%7D%20%2B%20%5Cdfrac%7B1%7D%7Bq%7D%20%2B%20%5Cdfrac%7B1%7D
Nostrana [21]

Answer:

\displaystyle   \begin{cases} \displaystyle  {x} _{1} =  - p \\   \displaystyle x _{2}   =  -  q \end{cases}

Step-by-step explanation:

we would like to solve the following equation for x:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}  +  \frac{1}{x}  =  \frac{1}{p  + q + x}

to do so isolate \frac{1}{x} to right hand side and change its sign which yields:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{1}{p  + q + x}  -  \frac{1}{x}

simplify Substraction:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{x - (q + p +  x)}{x(p  + q + x)}

get rid of only x:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{  - (q + p )}{x(p  + q + x)}

simplify addition of the left hand side:

\displaystyle  \frac{q + p}{pq}     =  \frac{  - (q + p )}{x(p  + q + x)}

divide both sides by q+p Which yields:

\displaystyle  \frac{1}{pq}     =  \frac{  -1}{x(p  + q + x)}

cross multiplication:

\displaystyle    x(p  + q + x)  =   - pq

distribute:

\displaystyle    xp  + xq +  {x}^{2} =   - pq

isolate -pq to the left hand side and change its sign:

\displaystyle    xp  + xq +  {x}^{2} + pq =  0

rearrange it to standard form:

\displaystyle   {x}^{2} +    xp  + xq  + pq =  0

now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so

factor out x:

\displaystyle  x( {x}^{} +   p ) + xq  + pq =  0

factor out q:

\displaystyle  x( {x}^{} +   p ) +q (x + p)=  0

group:

\displaystyle  ( {x}^{} +   p ) (x + q)=  0

by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:

\displaystyle   \begin{cases} \displaystyle  {x}^{} +   p  = 0 \\   \displaystyle x + q=  0 \end{cases}

cancel out p from the first equation and q from the second equation which yields:

\displaystyle   \begin{cases} \displaystyle  {x}^{}   =  - p \\   \displaystyle x  =  -  q \end{cases}

and we are done!

3 0
2 years ago
Can someone help me????
SpyIntel [72]
Lemme think bout it....no
5 0
3 years ago
Find the value of y for the given value of x.
tia_tia [17]
X=30 in the first one and x=-15 in the second one
5 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer the questions(in the pictures) as fast as possible.
    8·1 answer
  • Round 30.410 to the nearest hundredth
    14·2 answers
  • 60% of the students are girls.Boys are 12. how many students are there?
    10·1 answer
  • 13x-1=9x-13 what is x
    8·1 answer
  • 10x + 15 <br> So what is the equation of x !??!?
    11·1 answer
  • Gregorys room is 16 feet long and 12 feet wide ​
    12·1 answer
  • Simplify.<br><br> 52+20<br><br><br><br><br> 5<br><br> 30<br><br> 45<br><br> 72
    8·2 answers
  • Write an equation in slope-intercept form for the line that passes through (0, 1) and is perpendicular to the line whose equatio
    9·1 answer
  • Which graph represents y as a function of x​
    14·1 answer
  • Given:<br> RS = 3x - 16<br> ST = 4x - 8<br> RT = 60<br> Solve for RS.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!