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2 years ago

NEED HELP NOW! Use the substitution method to solve the system of equations. choose the correct ordered pair. x+y=12 -x=-y-10

Mathematics

2 answers:

Anni [7]2 years ago

7 0

$x+y=12\\y=x+10\\\\x+(x+10)=12\\2x+10=12\\2x=2\\x=1\\\\y = x+10\\y=1+10\\y=11\\\\x+y=12\\1+11=12\\12=12\\\\x=1\\y=11$

8090 [49]2 years ago

6 0

-x=-y-10 is the same thing as x=y+10. because u can add x to both sides and add y and 10 to bith sides to get rid of the negative. now u can substitute x in ur first equation w ur new positive equation. u should have y+10+y=12. add ur y's and numbers. u shoukd get 2y= 2. divide both sides by 2. and your answer should be y=1. hope this helps

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If ∠4 = 98°, then ∠3 = ?<br> look at image

Ksju [112]

Step-by-step explanation:

∠4 = ∠1 & ∠2 = ∠3

360 - 2(98) = ∠2 + ∠3

∠3 = 164/2

∠3 = 82°

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2 years ago

Read 2 more answers

Can someone please help me :)

gavmur [86]

Answer:

<em>90 degree</em>

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

7 0

3 years ago

I need help with this one

Butoxors [25]

Answer:

2 2/3

Step-by-step explanation:

8 0

2 years ago

Find the distance between the points given. (0,5) and (-5,0)

galina1969 [7]

Answer:

5 $\sqrt{2}$

Step-by-step explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d = $\sqrt{(-5-0)^2+(0-5)^2}$

= $\sqrt{(-5)^2+(-5)^2}$

= $\sqrt{25+25}$ = $\sqrt{50}$ = 5 $\sqrt{2}$ ← exact value

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3 years ago

The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability tha

kozerog [31]

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

$\mu = 3500 \times 0.0004 = 1.4$

The probability that 2 or fewer cars will be stolen is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466$

$P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452$

$P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417$

Then:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335$

0.8335 = 83.35% probability that 2 or fewer will be stolen.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

4 0

1 year ago