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4 years ago

Solve the system and determine the best method to solve each system of equations

Mathematics

1 answer:

Phoenix [80]4 years ago

8 0

I forgot what its called, but its the one where you make one equation negative ,making a +7 and a -7 and you subtract the equations down

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If A=(0,0) and B=(8,2), what is the length of AB

NeX [460]

Answer:

$\boxed{\sf Distance_{AB}= 8.24 \ units }$

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

$\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}$

Therefore on substituting the respective values ,we can find the Distance as ,

$\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2}$

Simplify the brackets ,

$\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}$

Square the numbers inside the squareroot ,

$\sf\longrightarrow Distance =\sqrt{ 64 + 4}$

Add the numbers inside the squareroot ,

$\sf\longrightarrow Distance = \sqrt{68}$

Find the value of squareroot,

$\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}$

Hence the distance between the two points is 8.24 units .

3 0

3 years ago

FGH, m∠G= 30° and m∠H= 100°. What is the measure of ∠F?

trapecia [35]

Answer:

∠F = 50°

Step-by-step explanation:

The sum of all three angles in a triangle = 180°

∠F = 180° - 30° - 100° = 50°

6 0

3 years ago

The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.4521, 0.3970, 0.1307, 0.0

kicyunya [14]

Answer:

The standard deviation of given probability distribution is 0.767.

Step-by-step explanation:

We are given the following information in the question:

X: 0 1 2 3 4

P(x): 0.4521 0.3970 0.1307 0.0191 0.0010

Formula:

$\text{Mean} = \sum X.P(x)\\= 0(0.4521) + 1(0.3970) + 2(0.1307) + 3(0.0191) + 4(0.0010)\\= 0.7197$

$\mu = 0.7197$

Formula:

$\text{Variance} = \sum (X-\mu)^2E(x)\\= (0-0.7197)^2(0.4521)+(1-0.7197)^2(0.3970)+(2-0.7197)^2(0.1307)+(3-0.7197)^2(0.0191)+(4-0.7197)^2(0.0010) \\=0.587$