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3 years ago

How to add a + b using 45a +90b

Mathematics

1 answer:

yulyashka [42]3 years ago

3 0

Answer:

45(a + 2b)

Step-by-step explanation:

45a

step1 in order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...) The number of times that each prime divides the original integer becomes its exponent in the final result

Prime number 3 to the power of 2 equals 9 .

Prime number 5 to the power of 1 equals 5 .

$3x^{2} *5$

90b

do the same as above

Prime number 2 to the power of 1 equals 2 .

Prime number 3 to the power of 2 equals 9 .

Prime number 5 to the power of 1 equals 5 .

$3x^{2} *5*2$

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Ashley has $150 in her bank account. She buys a bike for $200. Now her account balance is -$50. If she deposits the $75 she rece

polet [3.4K]

Answer:

She will have $25.00 in her bank account!

Step-by-step explanation:

If she has -$50 and adds 75 that is filling in the negative hole and adding $25 to the 0 she would have. ;) hope this helps!

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3 years ago

How do you work this out?

Ira Lisetskai [31]

I'm guessing you find the length of the hypotenuse using the pythagorean theorem.

a² + b² = c² a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!

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3 years ago

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Find the simple interest earned on $2600 invested for 3 years at 12% per annum

Aleks04 [339]

Answer:

$936

Step-by-step explanation:

Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.

The equation for simple interest is:

I = P x r x t

P = Principal, $2600

r = interest rate, 12%

t = time involved, 3 years

Fill in the values:

2600 × 0.12 × 3 = $936.00

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3 years ago

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Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.

bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

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3 years ago

Find the area of the rectangle with a length of (x^2-2) and a width of (2x^2-x+2)

Katyanochek1 [597]

Area=legnth times width

so multiply them together use distributive property
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in this problem
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so
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add like terms
2x^4-x^3+(2x^2-4x^2)-2x+4
2x^4-x^3-2x^2-2x+4

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3 years ago

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