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puteri [66]
3 years ago
12

Which graph shows the solution to the system of linear inequalities? y>2/3x+3 y ≤ -1/3x+2

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer:

Graph 2 which has both solid and dashed line

Step-by-step explanation:

Given the linear inequalities :

y>2/3x+3 - - - (1)

y ≤ -1/3x+2 - - - (2)

One quick observation that can be made from the two graphs is the type of line used to plot the two linear inequalities;

Inequalities that uses either the < or > sign are plotted using a dashed line while inequalities with makes use of ≤ or ≥ are plotted using the solid line. Therefore we can conclude that the graph which uses both the solid line and the dashed line to represent the linear inequality conditions is the correct choice.

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Please help me find the total area of the composite figure below (geometry)
Akimi4 [234]

Answer:

lw + \frac{1}{2} × π × (\frac{l}{2} )^{2} ⇒ Answer D is correct

Step-by-step explanation:

First, let us find the area of the semi-circle.

Area = \frac{1}{2} × π × r²

<u>Given that,</u>

diameter of the semi-circle is ⇒ <em>l</em>

∴ radius ⇒ <em>l / 2</em>

<u>Let us find it now.</u>

Area = \frac{1}{2} × π × r²

Area =  \frac{1}{2} × π × (\frac{l}{2} )^{2}

<u>                                                     </u>

Secondly, let us find the area of the rectangle.

Area = length × width

<u>Given that,</u>

length ⇒ <em>l</em>

width ⇒ w

<u>Let us find it now.</u>

Area = length × width

Area = l ×w

Area = lw

<u>                                                      </u>

And now let us <u>find the total area.</u>

Total area =  Area of the rectangle + Area of the semi - circle

Tota area = lw + \frac{1}{2} × π × (\frac{l}{2} )^{2}

8 0
2 years ago
If you multiply 5(2x+3+4y), the answer is ______
Volgvan

Answer:

You don't even need to do the whole question. Just look at 5 times 2x. which is 10x then u get your answer

6 0
2 years ago
Read 2 more answers
A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on cateri
pychu [463]
Y=300+40g
Y=5000
5000=300+40g
-300
4700=40g/40
117.5=g
About 117 people without going over budget.
5 0
3 years ago
Find the distance between (-4,6) and (3,-7)
Natali5045456 [20]

Answer:

4-6 is 2 and 3-7 is 4

Step-by-step explanation:

gufu6hrhjgbycjjjsidnidjdudjeijwjseyfhjokjo

8 0
3 years ago
Find an equation of the line that has undefined slope and contains the point left parenthesis negative 1 comma 6 right parenthes
Rudiy27

When the slope isn't defined, it's not possible to write the line in slope-intercept form. No slope means a vertical line, which here must be


x= -1


The ordered pair (-1,6) obviously satisfies the above equation so is on the vertical line x=-1.



6 0
3 years ago
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