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
telo118 [61]
3 years ago
10

A number is more than 9 units from 3.

Mathematics
2 answers:
coldgirl [10]3 years ago
6 0

Answer: It's either -6 or 12. I'm assuming it's 12 because it says "more than."

Step-by-step explanation:

DedPeter [7]3 years ago
6 0
You must account for both the number being more than 9 units smaller than 3 and being more than 9 units larger than 3. To do that, you set the absolute value of the difference between the number and 3 greater than 9.

Let x be the number

|x - 3| > 9

Now solve for x.

Suppose x - 3 is positive. Then

x - 3 > 9 ⇒ x > 12

Suppose x - 3 is negative. Then |x - 3| = -(x - 3) = 3 - x

Then

3 - x > 9 ⇒ x < -6

These are the 2 possibilities.


Hope this helps
You might be interested in
Circle the greater fraction
Lena [83]
A. 5/8
B. 5/9
c. 1/3
D. -1/3
E. -4/5
F. -3/8
6 0
3 years ago
X
AURORKA [14]

Answer:

\theta \approx 1.23^\circ

Step-by-step explanation:

The expression has been given as:

tan(\theta) = \frac{50}{18}

Required: Find \theta

Simplify the fraction

tan(\theta) = 2.7778

Take arc tan of both sides

\theta = tan^{-1}(2.7778)

\theta \approx 1.23^\circ

8 0
2 years ago
A baker needs 4 3⁄4 cups of flour. if she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have
notsponge [240]

3 scoops and a quarter? not really sure if you were saying one and a half cups or if the Baker was using ONE half cup scoop

1 1/2+1 1/2+1 1/2+ 1/4 =4.75

7 0
2 years ago
Find the values of x:<br><br> I don’t understand how to do this please help
goblinko [34]

Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

-----------------------

11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

8 0
3 years ago
How do you find the equation of a triangles altitude using point slope formula?
forsale [732]
<span><span><span>1. An altitude of a triangle is a line segment from a vertex perpendicular to the opposite side. Find the equations of the altitudes of the triangle with vertices (4, 5),(-4, 1) and (2, -5). Do this by solving a system of two of two of the altitude equations and showing that the intersection point also belongs to the third line. </span>
(Scroll Down for Answer!)</span><span>Answer by </span>jim_thompson5910(34047)   (Show Source):You can put this solution on YOUR website!
<span>If we plot the points and connect them, we get this triangle: 

 

Let point 
A=(xA,yA)
B=(xB,yB)
C=(xC,yC) 



------------------------------- 
Let's find the equation of the segment AB 


Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


So the equation of the line through AB is  


------------------------------- 
Let's find the equation of the segment BC 


Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


So the equation of the line through BC is  




------------------------------- 
Let's find the equation of the segment CA 


Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


So the equation of the line through CA is  




So we have these equations of the lines that make up the triangle 


 



So to find the equation of the line that is perpendicular to  that goes through the point C(2,-5), simply negate and invert the slope  to get 

Now plug the slope and the point (2,-5) into  


 

 Solve for y and simplify 

So the altitude for vertex C is  



Now to find the equation of the line that is perpendicular to  that goes through the point A(4,5), simply negate and invert the slope to get  

Now plug the slope and the point (2,-5) into  


 

 Solve for y and simplify 

So the altitude for vertex A is  




Now to find the equation of the line that is perpendicular to  that goes through the point B(-4,1), simply negate and invert the slope to get  

Now plug the slope and the point (-4,1) into  


 

 Solve for y and simplify 

So the altitude for vertex B is  



------------------------------------------------------------ 
Now let's solve the system 


 

 Plug in  into the first equation 

 Add 2x to both sides and subtract 2 from both sides 

 Divide both sides by 3 to isolate x 


Now plug this into  

 

 



So the orthocenter is (-2/3,1/3) 

So if we plug in  into the third equation , we get 


 


 


 

 

So the orthocenter lies on the third altitude 





</span><span>
</span></span>
3 0
3 years ago
Other questions:
  • Evaluate ∫ xe2x dx.
    11·2 answers
  • Nate Shermach found a two-year-old luxury car advertised for $31,175. Its average retail value is $30,850. It has aluminum alloy
    5·1 answer
  • the blueprints for a new house are scaled so that 1/4 inches equals 1 foot. the blueprint is the preimage and the house is the d
    6·2 answers
  • on a map 1 inch equals 15 miles. if two cities are 4.5 inches apart on the map , how far are they actually apart
    6·1 answer
  • Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 3 = fraction 2 over 4z + 5?
    15·2 answers
  • PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a com
    11·2 answers
  • What is the solution to this equation?
    6·1 answer
  • Can somebody solve this real fast
    14·2 answers
  • Bacon cheeseburgers cost $8.99 each, and meat-stuffed baked potatoes cost $7.49 each. If Hank purchased 10 burgers and potatoes
    11·1 answer
  • 9) Write the equation of the given line in slope-intercept form:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!