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3 years ago

The additive inverse of -7

Mathematics

2 answers:

OverLord2011 [107]3 years ago

7 0

Answer:

Step-by-step explanation:

shepuryov [24]3 years ago

4 0

Answer:

Step-by-step explanation:

An "additive inverse" refers to a number that when added to a specific number equals to "zero."

In the question above, the additive inverse of -7 is 7 because: -7 + 7 = 0

Other examples:

1. The additive inverse of 2 is -2 because: 2 + (-2) = 0

2. The additive inverse of -100 is 100 because: -100 + 100 = 0

3. The additive inverse of $\frac{1}{2}$ is - $\frac{1}{2}$ because: $\frac{1}{2}$ + - $\frac{1}{2}$ = 0

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100 points

iragen [17]

Student A is wrong and Student B is correct.

How?

Direction is saying to construct a line that passes through C
The last step is enough to describe that A is wrong.
Its saying to swing an arc(Should be line).
On the other hand Student B has done correct
By passing point through C and G it satisfies our required construction.

3 0

2 years ago

Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).

lions [1.4K]

Check the picture below. so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}$

$(\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill$

$\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}$

6 0

1 year ago

The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and sel

ratelena [41]

Answer: r = C/(2pi)

This is the same as writing $r = \frac{C}{2\pi}$

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like $r = \frac{C}{2\pi}$

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

-----------------

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

8 0

2 years ago

Suppose the discrete random variable X has the probability distribution below:

Talja [164]

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

4 0

2 years ago

What’s the inverse of the function F(x)=2x+1

antoniya [11.8K]

Answer:

Step-by-step explanation:

1. Replace F(x) with y.

2. Interchange x and y in y = 2x + 1: x = 2y + 1

3. Solve this result for y: 2y = x - 1, or y = (x - 1)/2

4. Replace y with:

-1

F (x):

-1 x - 1

F (x) = -----------

7 0

2 years ago

Read 2 more answers