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sveticcg [70]
3 years ago
9

PLEASE HELP!!!!! The shaded region in the graph represents the solutions of this system of linear inequalities. y__ 4x +__ y ≤__

x + __?

Mathematics
1 answer:
Luden [163]3 years ago
7 0
Y < =  4x - 5 (thats less then or equal)....I think the equal goes in there too....it is hard to tell from the picture.....if it is a solid line, the equal sign is included...but for some reason it does not look the same as the other line (which for sure includes an equal sign)
y < = 2x + 3

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In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t
lidiya [134]

Answer:

Perimeter = 98 cm

Area = 596 cm^{2}

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length \times Width

\Rightarrow 30 \times 25 = 750\ cm^{2}

Area of circle = \pi r^{2}

\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}

So, area of figure = 750 - 154 = 596 cm^{2}

3 0
3 years ago
Calculate the value for each determinant:
Dafna1 [17]

Answer:

See explanations below

Step-by-step explanation:

Example of how to find the determinant of a 2×2 matrices is as shown;

\left[\begin{array}{ccc}a&b\\c&d&\end{array}\right]

= (a*d)-(b*c)

= ad - bc

Applying this to solve the given questions

1) (3*4) - (-3*-1)

= 12 - (3)

= 9

2) (-12*5)-(-1*12)

= -60 - (-12)

= -60+12

= -48

3) (0*4)-(-1*17)

= 0-(-17)

= 0+17

= 17

4) (8*-1)-(-4*-1)

= -8-(4)

= -8-4

= -12

5) (2*-1)-(2*-1)

= -2-(-2)

= -2+2

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6) 1(1) - 0(0)

= 1 - 0

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4 0
3 years ago
How to substitute 3x+3y=-3 and y=5x-1?
schepotkina [342]
Since y = 5x-1, we can fill it into 3x + 3y = -3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = -3, all we need to do is to switch the y in 3x + 3y = -3 with 5x - 1. So it would become 3x + 3(5x - 1) = -3. Now we distribute to get 3x + 15x - 3 = -3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5(0) - 1. Now we know that y = -1.

To check fill in the answer to 3x + 3y = -3.
3(0) + 3(-1) = -3
 0 + (-3) = -3
0 - 3 = -3
-3 = -3
Now that our check is completed we now know that x is 0 and y is -1.
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3 years ago
How long will it take you to get home?
SVEN [57.7K]
It depends on where you are....
4 0
3 years ago
Which is the ordered pair for y&gt;5x-2
photoshop1234 [79]

Answer:

5>6

Step-by-step explanation:

7 0
3 years ago
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