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
Assoli18 [71]
3 years ago
15

Write an inequality for the graph.

Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0

Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.

m = +5/+6 = \frac{5}{6}    b = 5

y =  \frac{5}{6}x + 5

6y = 5x + 30

-30 = 5x - 6y   ⇒   5x - 6y = -30

Now let's look at the inequality symbol:  The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.

Answer: 5x - 6y ≤ -30



natali 33 [55]3 years ago
6 0

Answer: 5x-6y >= -30

Step-by-step explanation:

Pick two points from the graph to frame the equation of the line = (0,5) and (-6,0)

Frame the equation y=mx+b, where m is the slope and b is the y-intercept

The y-intercept is the point where the graph crosses y-axis and it is equal to 5.

slope m = y2-y1/x2-x1 = 0-5/-6-0 = 5/6

Equation becomes y = 5/6x+5

Multiply the whole equation by 6

6y+5x = 30

Subtract 5x on both sides

-5x+6y = 30

Multiply whole equation by -1

5x-6y = -30

Now we look at the shaded part and confirm the inequality

The shaded part contains (0,0)

So we plug in 0 for x and 0 for y

5(0) - 6(0) = -30

0 >= -30 is true

So inequality becomes 5x-6y >= -30

You might be interested in
to angie's ladder was 22 feet tall above the ground lying against the wall of her house.the base of the ladder was 5 feet tall.w
Talja [164]

Answer:


Step-by-step explanation:

Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.

You can now use the pythagorean theorem with the sides to fill in the other side:


a^2+ b^2= c^2

5^2 + b^2= 22^2

25+b^2=484

b^2= 459

b=21.42


Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.

Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

(-5,0) and (0, 21.42)

(x1, y1) and (x2, y2)

slope= (y2-y1)/(x2-x1)

slope= (21.42-0)/ (0-(-5)) ---- becomes positive

slope= 4.284

(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)


Hopefully that answers your question!

3 0
3 years ago
I need the answer ASAP.
Vladimir79 [104]
Angle EGD = x (vert. opp. angles)
30 ° + 90 ° + x = 180 ° (adj. angles on st. line)
x = 60
5 0
3 years ago
Read 2 more answers
3x=9 divide each side by 3 x=3
podryga [215]

Answer:

3

Step-by-step explanation:

3x=9

3(3)=9

3/3=0=9/3=3

answer=3

3 0
3 years ago
Please answer I will be giving out brainliest and 2<br>7 points.​
maria [59]
1. 21 peanuts per minute
2. 9 texts per minute
3. 28 pages per hour OR half a page per minute

4. The first option is the cheapest. You can find what one ounce costs for each barrel by dividing the cost by the total ounces.

6 0
3 years ago
What is the answer of this question?​
polet [3.4K]

Answer:

116

Step-by-step explanation:

8.2 / 2 = 4.1

a = \sqrt{7^{2}-4.1^{2} } = 5.6736

0.5 x 8.2 x 5.6736 = 23.2618

23.2618 x 5 = 116.309 = 116

7 0
3 years ago
Other questions:
  • A car travels 54.9 miles in an hour.If the car continues at theach same speed for 12 hrs how many will it travel
    11·1 answer
  • The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units. What is the hei
    11·2 answers
  • There are 12 girls and 8 boys in Ms. Sander’s class. Each day, she randomly asks one student to take attendance. In 180 school d
    8·1 answer
  • Dr. Manion a mixed 9.357G of chemical A, 12.082g of chemical b,
    8·1 answer
  • The area of a rectangle is 221.6 m2. If the length is 16 m, what is the perimeter of the rectangle?
    15·2 answers
  • To find the ideal temperature for baking muffins, a student plans an experiment to assess the taste and texture of muffins baked
    11·2 answers
  • A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
    9·1 answer
  • 3.) 2x + 4 = -3x - 2; x = 1<br><br>Determine if the value of x is a solution to the equation​
    14·1 answer
  • 5. Your family decides to take a trip to the Philippines. You have saved up $150 for this trip and need to exchange your U.S dol
    6·1 answer
  • Help pls ill gve brainlist &lt;3 or however you spell it
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!