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4 years ago

-15______= -3 what it this answer?

Mathematics

1 answer:

erik [133]4 years ago

3 0

There are a few ways to get -15 to equal -3 one is put +12

-15+12=-3

Or putting /5

-15/5=-3

(If i am doing this wrong please explain the question a little more.

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3 years ago

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zubka84 [21]

Answer:

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2 years ago

Suppose △JMN≅△KQR .

OverLord2011 [107]

The true statements are ∠M≅∠Q, QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯ and MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯.

In order to determine these, we need to note that where the letter is listed in the original statement determines its congruency. Because they are both first J and K are always the same. This is the same for the ones in the middle (M and Q) and the ones at the end (K and J).

So as an example MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯ is true because MN involves the middle and then first term. QR does the same and is therefore congruent.

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3 years ago

Prove by mathematical induction the following statement:

Nady [450]

Answer:

In Exercises 1-15 use mathematical induction to establish the formula for n ≥ 1.

1. 1

2 + 22 + 32 + · · · + n

2 =

n(n + 1)(2n + 1)

Proof:

For n = 1, the statement reduces to 12 =

1 · 2 · 3

and is obviously true.

Assuming the statement is true for n = k:

2 + 22 + 32 + · · · + k

2 =

k(k + 1)(2k + 1)

, (1)

we will prove that the statement must be true for n = k + 1:

2 + 22 + 32 + · · · + (k + 1)2 =

(k + 1)(k + 2)(2k + 3)

. (2)

The left-hand side of (2) can be written as

2 + 22 + 32 + · · · + k

2 + (k + 1)2

In view of (1), this simplifies to:

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3 years ago

On October 31, Betty and Paul fill their 250-gallon oil tank for their heater. Beginning in November they use an average of 15 g

Free_Kalibri [48]

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

<h3>How to write the linear equation?</h3>

We know that Betty and Paul start with 250 gallons of oil in October 31, which is our initial time, w = 0.

Since November they start using 15 gallons per week, so one week after, at w = 1 (this would be at the end of the first week of November) they will have:

250 gal - 15 gal = 235 gallons of oil.

And each week after that, the amount of oil in the tank will decrease by a fixed amount of 15 gal. This can be described wit a linear equation.

If for each week the tank losses 15 gallons of oil, after w weeks the amount of oil in the tank is:

A = initial quantity - amount that is lost en the w weeks.

A = 250 gal - w*15gal.

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

5 0

2 years ago