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diamong [38]
3 years ago
10

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

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
For simplest form, the first thing you'll want to do is get rid of the parentheses:

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

Now we want to combine like terms:

</span><span>9r^2 + 27r - 2r^2 + 8r = 7r^2 + 35r</span>
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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=<br><br> 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
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