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3 years ago

Explaining step by step the simplest form of the expression 9r(r+3)-2r(r-4)

1 answer:

6 0

For simplest form, the first thing you'll want to do is get rid of the parentheses:

9r(r + 3) - 2r(r - 4) = 9r^2 + 27r - 2r^2 + 8r

Now we want to combine like terms:

9r^2 + 27r - 2r^2 + 8r = 7r^2 + 35r

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Three times a number decreased by 5 equals 10. Write the equation and find the number.

damaskus [11]

Answer:

3x - 5 = 10

Step-by-step explanation:

5 0

3 years ago

What is the value of 2 in 5,014,245?

Arlecino [84]

Your reasoning and your answer were both correct. Discuss with the teacher. ("Discuss". DON'T fight.)

6 0

3 years ago

The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

Marizza181 [45]

Answer:

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

$L=w+2$

now, we can find area

$A=L\times W$

now, we can plug it

$A=(w+2)\times w$

$A=w^2+2w$

we are given area =6

so, we can set it equal

and then we can solve for w

$w^2+2w=6$

$w^2+2w-6=0$

we can use quadratic formula

$ax^2+bx+c=0$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

$w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}$

$w=-1+\sqrt{7},\:w=-1-\sqrt{7}$

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

7 0

3 years ago

276÷ -0.12= I need the work shown, please.

oksano4ka [1.4K]

Answer:

-(276÷0.12)=-2300

Step-by-step explanation:

8 0

2 years ago

The hypotenuse of a right triangle measures 13cm and one of its legs

hoa [83]

Answer:

6.9

Step-by-step explanation:

Use the Pythagorean theorem :

a^2 + b^2 = c^2

so,

11^2 + b^2 = 13^2

121 + b^2 = 169

b^2= 48

b = 6.928

Round to the tenth : 6.9

8 0

2 years ago