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
vova2212 [387]
3 years ago
5

Adrianna is attempting to write an inequality from a graph. She knows that the dash boundary line passes through the points (27,

10) and (-45,-54). She also notices that the point (0,0) is a solution to this inequality. If Adrianna must write the inequality in slope intercept from, what will she write?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

we know the line passes through those points, so let's find the EQUATion of it firstly.


\bf (\stackrel{x_1}{27}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-45}~,~\stackrel{y_2}{-54}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-54-10}{-45-27}\implies \cfrac{-64}{-72}\implies \cfrac{8}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-10=\cfrac{8}{9}(x-27) \\\\\\ y-10=\cfrac{8}{9}x-24\implies y=\cfrac{8}{9}x-14


so, that's its EQUATion, now, we know the (0,0) is a solution of this inequality, namely the (0,0) point lies in the "true region" or will be the "shaded region" of the inequality, let's plug those values,


\bf y=\cfrac{8}{9}x-14\implies \stackrel{\textit{using x = 0, y = 0}}{0=\cfrac{8}{9}(0)-14}\implies 0=-14


well, clearly  0 is not equals to -14....  we know 0 is greater, recall for the negative values, the farther from zero the smaller.

we also know that the line is dashed, meaning the borderline values are not included, so is either a > or <, thus since 0 > -14, then

\bf y>\cfrac{8}{9}x-14

You might be interested in
Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degr
VladimirAG [237]

Answer:

149

Step-by-step explanation:

just got it right on the quiz

8 0
3 years ago
Read 2 more answers
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
marissa [1.9K]

Answer:

b

Step-by-step explanation:

edge 2021 -2020

9 0
2 years ago
Read 2 more answers
Can someone please help me
djyliett [7]

Slope = (10 - 5)/(-9 + 15) = 5/6

y = mx + b where m = slope and b = y-intercept

b = y - mx

b = 5 - (5/6) (-15)

b = 5 +12.5

b = 17.5

Equation y = 5/6 x + 17.5

Y-intercept = 17.5

X-intercept when y = 0

So

5/6 x + 17.5 = 0

5/6 x = -17.5

x = (-17.5) (6/5)

x = -21

Answer

Y intercept (0, 17.5 )

X intercept (-21 , 0)

3 0
3 years ago
3.5× 1.5× 2 into a mixed number
soldi70 [24.7K]

Answer: 10.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many lines of symmetry does this figure have<br> A 1<br> B, 2<br> C. 3<br> D, 4
defon

Answer:

A.1

Step-by-step explanation:

Trapezoids only have one vertical line of symmetry

6 0
3 years ago
Read 2 more answers
Other questions:
  • Kamal’s bedroom has an area of 120 square feet. The width of the room is 5/6 the length of the room. What are the dimensions of
    11·1 answer
  • Place the following decimals in order from least to greatest by dragging and dropping them in the correct
    15·1 answer
  • The function g(x) = –|x| is a transformation of the absolute value parent function. Which graph shows g(x)? Apex
    14·2 answers
  • The temperature each hour in Elma, Texas on October 1 is modelled by the equation
    14·1 answer
  • Seventeen students reported how many email accounts they have. The dot plot below shows the data collected: A dot plot is shown
    15·1 answer
  • What does 5 + (-1) = ?
    9·2 answers
  • Find the value of n so that the line perpendicular to y=−15x − 6 passes through the points (n, −12) and (4, 8) .
    12·1 answer
  • What is 3x3 – 11x2 – 26x + 30 divided by x – 5?
    14·1 answer
  • Please help me I will mark u as brainlist​
    14·1 answer
  • Question 16 of 25
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!