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3 years ago

How to solve system using linear combination method

Mathematics

1 answer:

amm18123 years ago

7 0

-x+y=1
x+y=1

add
2y=2
y=1
x=-1

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The distance from the origin to the point(-15,20)

Anastasy [175]

Answer:

25 units.

Step-by-step explanation:

The origin is (0,0)

There using distance formula.

$\sqrt{(y2 - y1) { }^{2} + (x2 - x1) {}^{2} }$

$\sqrt{0 - ( - 15) {}^{2} + (0 - 20) {}^{2} }$

$\sqrt{15 {}^{2} + 20 {}^{2} }$

$\sqrt{625}$

Answer is 25 units.

3 0

3 years ago

Max points!! help please!!! tyyyyy

krek1111 [17]

Answer:

b. 70

Step-by-step explanation:

The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.

<u>Binomial Coefficient</u>

$\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}$

The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.

As there are 8 friends ⇒ n = 8.

As each car takes 4 friends ⇒ r = 4.

Substitute these values into the formula:

$\begin{aligned} \implies \displaystyle \rm \binom{8}{4} \: = \:^{8}C_{4} & = \rm \frac{8!}{4!(8-4)!}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1\times 4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5}{4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{1680}{24}\\\\ & = \rm 70\end{aligned}$

Learn more about the binomial coefficient here:

brainly.com/question/27802390

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Butoxors [25]

To find the value of x, use Pythagorean theorem which is a to the power of two plus b to the power of two equals the hypotenuse which Is c to the power of two, which you'd value as x. Square root the entire thing and you'll be left with c.

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3 years ago

If the slopes of two lines are negative reciprocal the lines are perpendicular true or false

Andrei [34K]

The answer would be true.

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3 years ago

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8x=4x−32<br><br> what is the answer? please help me

Rus_ich [418]

Answer: x= -8

Step-by-step explanation:

8x-4x = -32

x(8-4) = -32

x(4) = -32

4x = -32

x = -32/4

x = -8

8(-8) = 4(-8) - 32

-64 = -32 - 32

-64 = -64

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3 years ago