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3 years ago

Plz tell me what goes with what

Mathematics

1 answer:

Advocard [28]3 years ago

3 0

Answer:

Step-by-step explanation:

x²+5x-84

look for the factors of 84 that when you add together it will give +5

look for the factors of 84 that when you multiply together it will give -84

12 and 7

addition, multiplication

-12+7 = -5 -84

-12-7= -19 84

+12-7 = +5 -84 correct

then equate into the =5x and -84

x²+12x-7x-84

then factorize

x(x+12)-7(x+12)

(x-7)(x+12)

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(2 * 15x) + (2 * 10)

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Answer:

$(2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)$

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How is a property tax similar to and different from an income tax?

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Answer:

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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

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3 years ago

Which polygon has interior angles whose measures sum to 720°?

4vir4ik [10]

Answer:

Hexagon

Step-by-step explanation:

Explanation: The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure. A hexagon has six sides and six interior angles.

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Final answer is *drumroll******

x=4

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