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2 years ago

At least 3 units away from negative 1 (plot point)

Mathematics

2 answers:

asambeis [7]2 years ago

7 0

Answer:

Positive 2 or Negative 4

Step-by-step explanation:

If this is on a number line

lana66690 [7]2 years ago

5 0

The answer is +2 or the other answer is -4

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1/2-(-1/3) Does anyone know the answer to this question?

Alexxx [7]

Answer:

5/6

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4 0

2 years ago

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Find the area of the regular figure below:

Mice21 [21]

Answer:

1,496.49 cm squared

Step-by-step explanation:

The regular figure below is a hexagon.

The formula for the area of a regular hexagon is $A = \frac{3\sqrt{3} }{2} a^2$ . Here a = 24. Substitute and simplify for the area.

$A = \frac{3\sqrt{3} }{2} a^2\\A = \frac{3\sqrt{3} }{2} 24^2\\A = \frac{3\sqrt{3} }{2} * 576\\A = 1496.49$

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2 years ago

John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

2 years ago

Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0

mixas84 [53]

$\cos^2(x)+2\cos(x)+1=0\\\\ (\cos(x)+1)^2=0\\\\ \text{So:}\\\\ \cos(x)+1=0\\\\ \cos(x)=-1\\\\ \boxed{x=\pi+2k\pi},~k\in\mathbb{Z}$

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2 years ago

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If M is between S and T, SM = 9x - 8, MT = 2x + 3, and ST = 72. Find x.

kolezko [41]

Answer:

Step-by-step explanation:

Since, M is between S and T.

Therefore, SM + MT = ST

9x- 8 + 2x + 3 = 72

11x - 5 = 72

11x = 72 + 5

11x = 77

x = 77/11

x = 7

3 0

2 years ago