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2 years ago

11

What is the difference between inductive and deductive reasoning?

1 answer:

Elden [556K]2 years ago

6 0

Inductive reasoning starts with a conclusion and deductive reasoning starts with a premise.

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Given the midpoint and one endpoint of a line segment, find the other endpoint.

lozanna [386]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{\frac{5}{8}}~,~\stackrel{y_1}{\frac{27}{8}})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+\frac{5}{8}}{2}~~,~~\cfrac{y+\frac{27}{8}}{2} \right)=\stackrel{midpoint}{\left( -\frac{7}{6}~~,~~-\frac{10}{3} \right)}$

$\bf -------------------------------\\\\ \cfrac{x+\frac{5}{8}}{2}=-\cfrac{7}{6}\implies x+\cfrac{5}{8}=-\cfrac{14}{6}\implies x=-\cfrac{14}{6}-\cfrac{5}{8} \\\\\\ x=\cfrac{-14(4)-5(3)}{24}\implies x=\cfrac{-56-15}{24}\implies \boxed{x=-\cfrac{71}{24}}\\\\ -------------------------------\\\\ \cfrac{y+\frac{27}{8}}{2}=-\cfrac{10}{3}\implies y+\cfrac{27}{8}=-\cfrac{20}{3}\implies y=-\cfrac{20}{3}-\cfrac{27}{8} \\\\\\ y=\cfrac{-20(8)-27(3)}{24}\implies y=\cfrac{-160-81}{24}\implies \boxed{y=-\cfrac{241}{24}}$

3 0

3 years ago

Which is equivalent sin^-1 (cos(pi/2))?Give your answer in radians

NNADVOKAT [17]

Answer:

Given the expression: $\sin^{-1}(\cos(\frac{\pi}{2}))$

Let the value of the given expression in radians be $\theta$

then;

$\sin^{-1}(\cos(\frac{\pi}{2})) =\theta$

$\cos \frac{\pi}{2} = \sin \theta$ ......[1]

We know the value of $\cos \frac{\pi}{2} = 0$

Substitute the given value in [1] we have;

$\sin \theta = 0$

Since, the value of $\sin \theta$ is 0, therefore, the value of $\theta$ is in the form of:

$\theta = n\pi$ ; where n is the integer.

At n =0, 1 and 2, {Since, n is the integer}

Value of $\theta =0, \pi$ and $2\pi$

therefore, the answer in radians either $0 , \pi$ or $2\pi$

6 0

3 years ago

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Help ASAP Geometry 20 points

Alja [10]

Answer:

(3, 3 )

Step-by-step explanation:

Under a translation < 8, 0 > then

A(- 5, - 3 ) → (- 5 + 8, - 3 + 0 ) → (3, - 3 )

The line with equation y = 0 is the x- axis

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(3, - 3 ) → (3, 3 )

8 0

3 years ago

Label 1/4 on the number line. Label 1/2 on the number line .

KIM [24]

Answer:

it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth

Step-by-step explanation:

Hope that helps.

5 0

2 years ago

The Doe family is ready to fill their new swimming pool. It can be filled in 12 hours if they use their own water hose, and in 3

aivan3 [116]

6 & 1/2 hours should be the correct answer! :]

3 0

3 years ago

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