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nydimaria [60]
3 years ago
15

Help me with these math problems

Mathematics
1 answer:
Alina [70]3 years ago
3 0
Just rearrange the inequalities to make x the subject.

2 + y <= 3
Subtract 2 from both sides.
y <= 1

7x > 56
Divide both sides by 7.
x > 8
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Read 2 more answers
URGENT NEED HELP WITH A MATH QUESTION
irakobra [83]

Answer:

The image of point P is (1 , -1)

Step-by-step explanation:

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or  

  anti-clockwise around the origin

* Lets solve the problem

∵ P = (-1 , -1)

∵ P is rotated about the origin 90° counterclockwise

- Lets use this rule:

  If point (x , y) rotated about the origin by angle 90° counterclockwise

  then Its image is (-y , x)

∵ x-coordinate of point P = -1

∴ y-coordinate of the image of point P is -1

∵ y-coordinate of point P is -1

∴ x-coordinate of the image of point P is 1

- Lets write the image of point P

∴ The image of point P is (1 , -1)

8 0
3 years ago
Here is a right angled triangle work out the value of x using trigonometry
tatiyna

~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x =  8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}

6 0
2 years ago
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