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NISA [10]
3 years ago
5

Can someone show me the answer + how they got there? (x+4)(x-1)

Mathematics
2 answers:
Naily [24]3 years ago
6 0

Answer:

x^2+3x-4

Step-by-step explanation:

x * x - x + 4x - 4

x^2 - x + 4x - 4

x^2 + 3x - 4

yulyashka [42]3 years ago
6 0
<h3>Answer: x^2+3x-4</h3>

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

Explanation:

You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.

Let y = x+4

This means we replace (x+4) with y to get y(x-1)

Distribute the y term through to get yx-y which can be written as x(y) - 1(y)

After this, replace y with x+4 getting x(x+4)-1(x+4)

Distribute a second time and simplify like so

x(x+4)-1(x+4)

x^2+4x-1x-4

x^2+3x-4

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2 years ago
An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

10.69

Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

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now for the tank depth:

h = D / tan (A_water)

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h = 10.69

Therefore the depth is 10.69 meters.

6 0
3 years ago
Pls help explain if u can
Whitepunk [10]

Answer:

A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.

In simple words, it's stretching, when you dilate with scale factor of x, means you multiply the previous value with x, say co-ordinates area -2,4, so you do (-2x,4x) to find the co-ordinates after dialation,

Here the scale factor is 3, so the new co-ordinates are,

(-2×3, 4×3) which is A' (-6, 12)

similarly,

B' (12, -3)

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