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3 years ago

Rationalize the denominators

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

Step-by-step explanation:

mult by root three and root 2

2 root 3 turns into 6

5 root 2 turns into 10

the bottom is now 3-2 so it is one

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Original price:30 End price:45

oksian1 [2.3K]

Profit=15

Because-

45-30=15

3 0

3 years ago

Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

3 years ago

10 A three-dimensional letterH is formed by joining two identical cuboids and a cube.

hoa [83]

Answer:

10= 275

-------------

11=

a 6

b 4

-------------

12= 35

Step-by-step explanation:

7 0

3 years ago

Find the point-slope equation for

Igoryamba

Answer:

y+(21)=-4(x-7)

Step-by-step explanation:

the point slope equation , two point

m=y2-y1/x2-x1

m=23+21/-4-7=44/-11= -4

y+(21)=-4(x-7)

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3 years ago

When you want to change a cell color, which menu should you select?

Yanka [14]

A. fill drop down menu

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2 years ago