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marishachu [46]

3 years ago

10

Write a statement that is logically equivalent to the statement below. Demonstrate it is logically equivalent by citing evidence

to justify your statement:
If today is Monday, then it is not the weekend.

1 answer:

olga55 [171]3 years ago

3 0

The statement logically equivalent to the statement below will be

,,If today is Weekend,then it is not the Monday ."

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(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

6 0

2 years ago

If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?

Georgia [21]

The coordinates of "A" would most likely replace those of "B" or be very close. Brainliest is always appreciated, feel free to ask another question, and Have a nice day!

3 0

3 years ago

HURRY! PAST DUE MATH HOMEWORK!

Anettt [7]

10•4=40. 40 is the perimeter of the square. To find the perimeter of the semicircle use the circle perimeter (circumference) formula and divide that answer by two. This would be pi•10. You get 31.4. Then divide by 2 so it’s 15.7. Finally add 15.7 and 40. Hope this helps... sorry it’s such a long answer

8 0

2 years ago

Read 2 more answers

Given that (-9,8) is on the graph of f(x), find the

rodikova [14]

Answer:

the corresponding point for function f(x) + 2 would be (12, -8)

7 0

2 years ago

WILL AWARD BRAILEST!!!!!! A triangular prism has a triangular face with a base of 16.8 centimeters and a height of 10.2 centimet

VARVARA [1.3K]

Answer:

14 cm

Step-by-step explanation:

The first step is to find the area of the triangular base. The formula for the area of a triangle is $\frac{bh}{2}=\frac{10.2\cdot16.8}{2}=85.68$ . Now, you can divide the total volume by this to find the length. 1199.52/85.68=14. Hope this helps!

5 0

3 years ago

Read 2 more answers