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
Lilit [14]
3 years ago
5

Find a linear inequality with the following solution set. Each grid line represents one unit.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

-0.5x + y + 0.5 > 0

Step-by-step explanation:

Let the equation of the line is,

y - y' = m(x - x')

where (x', y') is a point lying on the line

m = slope of the line

Since two points (1, 0) and (3, 1) lie on the line,

Therefore, slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}

m = \frac{1-0}{3-1}

m = \frac{1}{2}

Equation of line passing through (1, 0) and slope = \frac{1}{2} will be,

y - 0 = \frac{1}{2}(x-1)

y = 0.5x - 0.5

Since, line given in the graph is a dotted line therefore, its an inequality having sign of (> or <).

In this inequality shaded region is above the dotted line therefore, inequality representing the solutions by the shaded region will be,

y > 0.5x - 0.5

-0.5x + y + 0.5 > 0

You might be interested in
Solve each quadratic equation. Show your work. 4x^2=100
ZanzabumX [31]
Hello there!

4x² = 100

We wanna start by dividing both sides by 4

4x²/4 = 100/4

x² = 25

Now we can take square root

x = +/-√25

x = 5 or x = -5

As always, it is my pleasure to help students like you!
4 0
3 years ago
What is the slope of y = -4
atroni [7]

Answer:

the slope is zero because the slope is zero

5 0
3 years ago
If you drive 300 miles and do 70 per hour how much minutes does it take​
dangina [55]

Answer: well I'm sorry I can't help that much but 300÷70(per hour)=4.28571428571 (Yes I did the math in my head) but it would be an estimate of 4 or 5 minutes. If I helped that's the least I can do. Your welcome! Anytime!!

Step-by-step explanation:

5 0
3 years ago
How can you write the expression with rationalized denominator? sqrt3 - sqrt6 / sqrt 3 + sqrt 6
harina [27]
Answer:  2√2 - 3

Explanation:


The expession written properly is:

\frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}+ \sqrt{6} }

To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.

That is, you have to multiply both numerator and denominator times the conjugate of the denominator.

The conjugate of √3+√6 is √3 - √6, so let's do it:

\frac{ \sqrt{3} - \sqrt{6} }{ \sqrt{3} + \sqrt{6} } . \frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}- \sqrt{6} }

To help you with the solution of that expression, I will show each part.

1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =

= 3 - 2√18 + 6 = 9 - 6√2.

2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3

3) Then the resulting expression is:

 9 - 6√2
-----------
 -3

Which can be further simplified, dividing by - 3

    -3 + 2√2

Answer: 2√2 - 3

7 0
3 years ago
Read 2 more answers
Is 3/10 of the visitors were adults and there were 100 visitors how many visitors were adults?
e-lub [12.9K]
So, 3/10 = 100/x\frac{3}{10}= \frac{100}{x}  3x=100(10) 3x=1000 1000/3 = 333.33=x
5 0
3 years ago
Other questions:
  • 12,14 and 16 are the length of the sides on the triangle
    14·2 answers
  • Please help!! MATH | WILL MARK BRAINLIEST!! 40 POINTS
    11·1 answer
  • Using the translation (x,y) --&gt; (x+1,y-3), what is the image of A (-1,7)
    12·2 answers
  • Find the value of x. Leave answers if necessary in the simplest radical form.
    9·2 answers
  • Write these values in order starting with the smallest . <br> 0.15 12% 1/10 1/20
    11·1 answer
  • Solve the system of linear equations by substitution. <br> x + 4y = 6 <br> x - y = 1
    9·1 answer
  • A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equa
    5·1 answer
  • Slope-intercept form of the line that goes through the points (-9, 10) and (-7, 2)
    15·2 answers
  • An axiom in Euclidean geometry states that in space, there are at least
    15·1 answer
  • Just question nine …
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!