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padilas [110]
3 years ago
5

Which of the following points are solutions to the system of inequalities shown below?

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4)  option e. (4, 4)  and option f. <span>(2, -1) 
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span><  3x + 5
-5 </span><span><  3(-3) + 5
-5 </span><span><  -9 + 5
-5 </span><span><  -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
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For what value is a is (a,9) a solution of the equation y=2x+1
yanalaym [24]

Answer:

a = 4

Step-by-step explanation:

y = 2x + 1 ......(1)

Going through y - y1 = m(x - x1)

m is slope and it is 2

y1 = 9 and x1 = a

y - 9 = 2(x - a)

y - 9 = 2x - 2a

y = 2x - 2a + 9 ........(2)

Equating (1) and (2)

2x + 1 = 2x - 2a + 9

Collecting like terms

2x - 2x + 2a = 9 - 1

2a = 8

a = 8/2

a = 4

7 0
3 years ago
Please help! I don't really understand this.
ch4aika [34]

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

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Hence, this is the required solution.

8 0
3 years ago
What is the answer to this!?
zalisa [80]
It's x = 3/12 or 0.25
5 0
3 years ago
Read 2 more answers
May you help me and explain to me please.
Rudiy27

Answer:

30

Step-by-step explanation:

TAN (R) = SR / ST

TAN (R) = 2/ 2sqr3

CONVERT OF TAN ^-1 (2 / 2sqr3) = 30

3 0
3 years ago
Read 2 more answers
What is the value of x? |x|=16
12345 [234]
The straight lines mean absolute value
 so x = -16 and x = 16
5 0
3 years ago
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