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3 years ago

Simplify 3.3√40-4.3√320-3√5

1 answer:

4 0

$\displaystyle\\~~~~3.3\sqrt{40}-4.3\sqrt{320}-3\sqrt{5}=\\\\=3.3\sqrt{4\times10}-4.3\sqrt{64\times5}-3\sqrt{5}=\\\\=3.3\times2\sqrt{10}-4.3\times8\sqrt{5}-3\sqrt{5}=\\\\=6.6\sqrt{10}-34.4\sqrt{5}-3\sqrt{5}=\\\\=\boxed{\bf6.6\sqrt{10}-37.4\sqrt{5}}$

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What is the equation of the line that passes through the points (2, –1) and (6, 1)? A.y=1/2x -2 B.y=2x-5 C.y=-1/2x-1 D. y=-2x-3

Rzqust [24]

Answer:

option A.

y = (1/2)x - 2

Step-by-step explanation:

It is given that, line that passes through the points (2, –1) and (6, 1)

Slope m = (y₂ - y₁)/(x₂ - x₁)

= (1 - -1)/(6 - 2)

= (1 + 1)/4 = 2/4

= 1/2

To find the equation of the line

Equation of a line passing through the points (x₁, y₁) and slope m is given by,

(y - y₁)/(x - x) = m

Here (x₁, y₁) = (2, -1) and m = 1/2

(y - -1)/(x - 2) = 1/2

(y + 1) = (x - 2)/2

y = -1 + x/2 - 2/2

= -1 + x/2 - 1

= x/2 - 2

The equation of the line is,

y = (1/2)x - 2

The correct answer is option A.

y = (1/2)x - 2

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3 years ago

How are graphs with a nonzero axis misleading? -They distort differences between values. -They rely on faulty data. -They are vi

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Answer:

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Step-by-step explanation:

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It depends on who is looking at them.

Consider the bar graphs below, showing the change in interest rates over time.

A naïve reader might conclude that interest rates had risen sharply (the zero-axis shows that they have remained steady).

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

What are the solutions to 16x^2-12x=54? Select all the apply.

lesya692 [45]

Answer:

-3/2 or 9/4

Step-by-step explanation:

16x^2 - 12x = 54

Now, we take 54 to the left side. It leads the right side to become "0". As 54 is a positive, it will negative as we change the side.

16x^2 - 12x - 54 = 0

Dividing both the sides by 2, we get,

8x^2 - 6x - 27 = 0

Now, we use factorization method,

8x^2 + 12x - 18x - 27 = 0

or, 4x (2x + 3) - 9 (2x + 3) = 0

or, (2x + 3) (4x - 9) = 0

Now, 2x + 3 = 0; or, 4x - 9 = 0

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or, x = - (3÷2); or, x = (9÷4)

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4 0

4 years ago

Solve the system of equations by substitution. 3/8x +1/3y=17/24 x+7y=8

const2013 [10]

Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x = 1.

3 0

3 years ago

Simplify 3.3√40-4.3√320-3√5​

Simplify 3.3√40-4.3√320-3√5