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2 years ago

What do you prove in the base case of an inductive proof of a statement P(n) for all positive integers n?

Mathematics

1 answer:

umka21 [38]2 years ago

4 0

Negative Integers the positive cancels the negative so it’s a proof of statement

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Okay I don't know this one either so uh help please

vodka [1.7K]

9514 1404 393

Answer:

(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)

Step-by-step explanation:

If X is the center of rotation, the coordinates of point P are transformed like this:

P' = -(P -X) +X

P' = 2X -P

(x, y) ⇒ (2(-5) -x, 2(3) -y)

(x, y) ⇒ (-10-x, 6-y)

Your points are transformed to ...

A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)

B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)

C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)

These coordinates match the first choice.

6 0

3 years ago

Write an equation for the line in point slope form through the points (2, −6) and (−1, −8).

igomit [66]

Let point A be $(2, -6)$ and point B $(-1, -8)$

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-6)}{-1 - 2} = \frac{-8 + 6}{-1 -2} = \frac{-2}{-3} = \frac{2}{3}$

Use the point-slope formula and whichever point you want as , in this case I'll use

$y - y_1 = m(x - x_1)\\y - (-6) = \frac{2}{3}(x - 2)\\y + 6 = \frac{2}{3}x - \frac{4}{3}\\y = \frac{2}{3}x - \frac{4}{3} - 6\\y = \frac{2}{3}x - \frac{14}{3}$

8 0

3 years ago

Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3

Leona [35]

we are ratio as

$=\frac{3}{7}$

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

$=\frac{3\times 5}{7\times 5}$

$=\frac{15}{7\times 5}$

$=\frac{15}{35}$

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0

3 years ago

No links plz! Will mark brainliest if correct!

ehidna [41]

Answer:

(m-4) / (5m)

Step-by-step explanation:

((m²-16) / (5m)) / (m+4) =

(m²-16) / (5m(m+4)) =

m²-16 / (5m²+20m) =

(m-4) / (5m)

7 0

3 years ago

What negative number times 4 equals 0

oksian1 [2.3K]

Only answer that can give u zero is zero

5 0

3 years ago