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3 years ago

If it is warm outside, then I will not wear my jacket.

2 answers:

5 0

1. Let the statements and their denials be given as follows:

p: it is warm outside p': it is not warm outside
q: I will not wear my jacket q': I will wear my jacket

2. The statement can be described as p⇒q, so its inverse is p'⇒q', which is the statement"<span>If it is not warm outside, then I will wear my jacket.</span>"

andreev551 [17]3 years ago

3 0

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

What is 874 divided by 23

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Answer:

874 Divided by 23 = 38.

Step-by-step explanation:

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3 years ago

George is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a new

Genrish500 [490]

Answer:

The correct answers for the possible locations for the are;

(-9, 1)

(0, 0)

Step-by-step explanation:

The coordinates of two of the three posts are given in feet as (-5, 4) and (2, 6)

The length of the available fencing = 25 feet

The length, l, of the segment between the coordinates of the two old posts vertices of the fence is given by the following equation;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Where;

(x₁, y₁) = (-5, 4)

(x₂, y₂) = (2, 6)

$l = \sqrt{\left (6-4 \right )^{2}+\left (2-(-5) \right )^{2}} = \sqrt{53} \approx 7.25 \ feet$

Given the coordinates of the third point as (x₃, y₃), we have;

Therefore, we have;

$\sqrt{\left (y_{3}-4 \right )^{2}+\left (x_{3}-(-5) \right )^{2}} + \sqrt{\left (y_{3}-6 \right )^{2}+\left (x_{3}-(2) \right )^{2}} = 25 - \sqrt{53}$

For the point (2, 6), we have;

$\sqrt{\left ((-6)-4 \right )^{2}+\left (2-(-5) \right )^{2}} + \sqrt{\left ((-6)-6 \right )^{2}+\left (2-(2) \right )^{2}} = 24.2 > 25-\sqrt{53}$

For the point (-9, 1), we have;

$\sqrt{\left ((-6)-4 \right )^{2}+\left (2-(-5) \right )^{2}} + \sqrt{\left ((-6)-6 \right )^{2}+\left (2-(2) \right )^{2}} = 17.08 < 25-\sqrt{53}$

For the point (0, 0), we have;

$\sqrt{\left ((0)-4 \right )^{2}+\left (0-(-5) \right )^{2}} + \sqrt{\left ((0)-6 \right )^{2}+\left (0-(2) \right )^{2}} = 12.73 < 25-\sqrt{53}$

For the point (8, 8), we have;

$\sqrt{\left ((8)-4 \right )^{2}+\left (8-(-5) \right )^{2}} + \sqrt{\left ((8)-6 \right )^{2}+\left (8-(2) \right )^{2}} = 19.92 > 25-\sqrt{53}$

For the point (-4, -5), we have;

$\sqrt{\left ((-5)-4 \right )^{2}+\left ((-4)-(-5) \right )^{2}} + \sqrt{\left ((-5)-6 \right )^{2}+\left ((-4)-(2) \right )^{2}} = 22.04 > 25-\sqrt{53}$

Therefore, the correct answers for the possible locations for the are (-9, 1) and (0, 0).

7 0

4 years ago

Find the solutions to the equation below check all that apply

11111nata11111 [884]

A. x=1/3

B. x=-4/3

_____________________________________________________

Solve for x over the real numbers: using the factor method:

9 x^2 + 9 x - 4 = 0

The left hand side factors into a product with two terms:

(3 x - 1) (3 x + 4) = 0

Split into two equations:

3 x - 1 = 0 or 3 x + 4 = 0

Add 1 to both sides:

3 x = 1 or 3 x + 4 = 0

Divide both sides by 3:

x = 1/3 or 3 x + 4 = 0

Subtract 4 from both sides:

x = 1/3 or 3 x = -4

Divide both sides by 3:

Answer: x = 1/3 or x = -4/3

7 0

3 years ago