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
hichkok12 [17]
3 years ago
9

A number and it's absolute value are equal. If you subtract 2 from the number, the new number and it's absolute value are not eq

ual. What do you know about the number?
Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
It is one or zero. The absolute value of one is one. If you subtract 2, -1 and one are not equal. Same goes for zero.
You might be interested in
I got most of them but I need help on those 3
Vadim26 [7]
Using Pythagoras:-

x^2  = 6^2 + (sqrt18)^2
       = 36 + 18 = 54

x = sqrt54  =  3 sqrt6
3 0
3 years ago
The answer that is selected is just a guess
Semmy [17]
The answer it’s 4, hope it helps
4 0
2 years ago
Juan purchased 6 soccer jerseys for $105.<br> How much would 12 soccer jerseys cost?
ehidna [41]
For twelve jerseys it would be $210
5 0
3 years ago
For 0 ≤ ϴ &lt; 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va
Black_prince [1.1K]

Answer:

3 solutions:

\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is tan(\frac{\theta}{2}) so let's focus on that part of the equation first.

We know that:

tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}

therefore:

cos(\frac{\theta}{2})\neq0

so we need to find the angles that will make the cos function equal to zero. So we get:

cos(\frac{\theta}{2})=0

\frac{\theta}{2}=cos^{-1}(0)

\frac{\theta}{2}=\frac{\pi}{2}+\pi n

or

\theta=\pi+2\pi n

we can now start plugging values in for n:

\theta=\pi+2\pi (0)=\pi

if we plugged any value greater than 0, we would end up with an angle that is greater than 2\pi so,  that's the only angle we cannot include in our answer set, so:

\theta\neq \pi

having said this, we can now start solving the equation:

tan(\frac{\theta}{2})=sin(\theta)

we can start solving this equation by using the half angle formula, such a formula tells us the following:

tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}

so we can substitute it into our equation:

\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)

we can now multiply both sides of the equation by sin(\theta)

so we get:

1-cos(\theta)=sin^{2}(\theta)

we can use the pythagorean identity to rewrite sin^{2}(\theta) in terms of cos:

sin^{2}(\theta)=1-cos^{2}(\theta)

so we get:

1-cos(\theta)=1-cos^{2}(\theta)

we can subtract a 1 from both sides of the equation so we end up with:

-cos(\theta)=-cos^{2}(\theta)

and we can now add cos^{2}(\theta)

to both sides of the equation so we get:

cos^{2}(\theta)-cos(\theta)=0

and we can solve this equation by factoring. We can factor cos(\theta) to get:

cos(\theta)(cos(\theta)-1)=0

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

cos(\theta)=0

\theta=cos^{-1}(0)

\theta={\frac{\pi}{2}, \frac{3\pi}{2}}

Equation 2:

cos(\theta)-1=0

we add a 1 to both sides of the equation so we get:

cos(\theta)=1

\theta=cos^{-1}(1)

\theta=0

so we end up with three answers to this equation:

\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}

7 0
2 years ago
What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?​
Furkat [3]

Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4).  Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run =  4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b:  0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

6 0
3 years ago
Other questions:
  • When the sun is at a certain angle in the sky, a 50-foot building will cast a -foot shadow. What is the length of the shadow in
    9·1 answer
  • Classify each pair of lines as parallel, perpendicular, coinciding, or intersecting at a non-right angle:
    6·1 answer
  • Which test point holds true for 2/5x-1/5y≥0
    5·1 answer
  • -4x + 7 for x=1. evaluate each expression for the given value of x.
    15·2 answers
  • I this identity property of addition or additive inverse property??
    10·1 answer
  • Select the correct answer.
    8·2 answers
  • 8R4 Joan was assigned to graph an absolute value function, but she forgot the 4 poi function. However, she remembers the followi
    15·1 answer
  • Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
    10·1 answer
  • A =10<br> a/4 + 1/3 <br> How do I figure out this answer?
    10·1 answer
  • Y = -2x + 4<br> y = -x2 + 4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!