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Aneli [31]
2 years ago
10

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

d (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?

y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

The system of linear inequalities that is represented by the graph is C. y > x – 2 and x + 2y < 4.

<h3>How to get the equation?</h3>

The first thing to to find the slope. This will be:

m = y2 - y1/x2 - x1

m = 0+2/2-0

m = 2

The equation in slope intercept form will be:

y = mx + b. The inequality will be y > x - 2.

Again, the slope will be:

= (0 - 2)/(4 - 0)

= -1/2

The equation will be -1/2x + 2.

Multiply both sides by 2.

2y < -x + 4

x + 2t < 4

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

You might be interested in
Factor the quadratic expression t^2 + 4t - 7
zepelin [54]

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.



7 0
3 years ago
A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 10 of these 90 packages at random and
valentina_108 [34]
Answer:

34

explanation:

First of all, put the numbers in order

30, 31, 31, 32, 33, 35, 35, 35, 36, 36

Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.

Now all you have to do is add these two numbers together then divide by 2 which will give you 34.

or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.


In other questions, it might have and odd amount of numbers, for example:

3, 3, 5, 8, 10

so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
7 0
3 years ago
Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).
Licemer1 [7]

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =\frac{1k}{2k}= ratio 1:2

now

finding p

for this

(m_1,m_2)=(1,2)

For AB

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)

similarly

Q divides AB

Ratio of AQ and QB =\frac{2k}{1k}= ratio 2:1

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

(m_1,m_2)=(2,1)

by using division formula

(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)

4 0
3 years ago
The distance from Talamunda to Velcicrita is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the
erica [24]
The train's rate 140 mph.  700 divided by 5 equals 140.
4 0
3 years ago
Read 2 more answers
Will mark most brainlest if correct
lutik1710 [3]

Answer: each guest gets 4.19 cm²

Step-by-step explanation:

The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle

π is a constant whose value is 3.14

r represents the radius of the circle.

From the diagram,

r = 4cm

Therefore, area of the cake that he cut for himself is

120/360 × 3.14 × 4²

= 16.75 cm²

The total area of the cake is

3.14 × 4² = 50.24 cm²

Therefore, the rest of the cake is

50.24 - 16.75 = 33.49 cm²

The amount that each guest gets would be

33.49/8 = 4.19 cm²

8 0
3 years ago
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