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3 years ago

9

The school marching band has 36 members. the band director wants to arrange the band members into a square formation. how many b

and members should be in each row?
a. 8b. 6c. 5d. 4

1 answer:

MAXImum [283]3 years ago

6 0

The answer is 6 because 6x6 = 36

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How do you simplify #(-3 - 2i)(-3 + 3i)#?

dybincka [34]

So, ( -3 - 2i )( -3 + 3i ) = 9 - 9i +6i - 6i^2 = 9 - 3i - 6·(-1) = 9 + 6 - 3i = 15 - 3i;
We have / 15 +(- 3)i / = 15.29; $\sqrt{ 15^{2} + (-3)^{2} } = \sqrt{225 + 9} = \sqrt{234} =$

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3 years ago

Write each product in standard form. (y+ 9)(y+ 9)

Alla [95]

Answer:

y² + 18y + 81

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Terms/Coefficients
Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

<u>Step 1: Define</u>

(y + 9)(y + 9)

<u>Step 2: Expand</u>

FOIL: y² + 9y + 9y + 81
Combine like terms: y² + 18y + 81

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2 years ago

Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their ro

topjm [15]

Step-by-step explanation:

The discriminant of the quadratic equation $ax^2+bx+c=0$ :

$\Delta=b^2-4ac$

If Δ < 0, then the equation has two complex roots $x=\dfrac{-b\pm\sqrt\Delta}{2a}$

If Δ = 0, then the equation has one repeated root $x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}$

$1.\ x^2-4x+2=0\\\\a=1,\ b=-4,\ c=2\\\\\Delta=(-4)^2-4(1)(2)=16-8=8>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\x=\dfrac{-(-4)\pm2\sqrt2}{2(1)}=\dfrac{4\pm2\sqrt2}{2}=2\pm\sqrt2\\\\==============================\\\\2.\ 5x^2-2x+3=0\\\\a=5,\ b=-2,\ c=3\\\\\Delta=(-2)^2-4(5)(3)=4-60=-56$

$3.\ 2x^2+x-6=0\\\\a=2,\ b=1,\ c=-6\\\\\Delta=1^2-4(2)(-6)=1+48=49>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt{49}=7\\\\x=\dfrac{-1\pm7}{(2)(2)}\\\\x_1=\dfrac{-8}{4}=-2,\ x_2=\dfrac{6}{4}=\dfrac{3}{2}\\\\==============================\\\\4.\ 13x^2-4=0\qquad\text{add 4 to both sides}\\\\13x^2=4\qquad\text{divide both sides by 13}\\\\x^2=\dfrac{4}{13}\to x=\pm\sqrt{\dfrac{4}{13}},\ \bold{two\ distinct\ roots}\\\\==============================$

$5.\ x^2-6x+16=0\\\\a=1,\ b=-6,\ c=16\\\\\Delta=(-6)^2-4(1)(16)=36-64=-28$

$7.\ 4x^2+11=0\qquad\text{subtract 11 from both sides}\\\\4x^2=-11\qquad\text{divide both sides by 4}\\\\x^2=-\dfrac{11}{4}\to x=\pm\sqrt{-\dfrac{11}{4}}\\\\x=\pm\dfrac{\sqrt{11}}{2}\ i,\ \bold{two\ complex\ roots}$

6 0

3 years ago

Read 2 more answers

Grant is trying to make money to help pay for college by taking a job with Brian’s bike taxis if Baltimore. He has an agreement

alexandr402 [8]

Grant needs to ride at least 13.33 miles to male at least $ 15.00 a day

<em><u>Solution:</u></em>

Given that Grant has an agreement with Brian to rent the bike for $35.00 a night

He charges customers $3.75 for every mile he transports them

Grant needs to make at least $15.00 a day

To find: miles needed to ride

From given question, He charges customers $3.75 for every mile he transports them

So if he transports for "x" miles he would get,

$\$ 3.75 \times x = \$ 3.75x$

So the profit he gets is $ 3.75 and initial cost invested to rent bike is $ 35. Also, Grant needs to make at least $15.00 a day

So we can frame a inequality as:

$3.75x - 35 \geq 15\\\\3.75x\geq 35 + 15\\\\3.75x\geq 50\\\\x \geq 13.33$

So he needs to ride atleast 13.33 miles to male atleast $ 15.00 a day

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3 years ago

Find two consecutive integers whose sum is eleven less than three times the smaller integer.

maw [93]

Answer:

12 and 13

Step-by-step explanation:

8 0

3 years ago