Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]

Answers

Answer 1

Answer:

1)

[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]

2)

[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]

3)

[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]

4)

[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]


Related Questions

Answer equation pls =)
1/4x+32=x+11

Answers

Answer:

1/4x+32=x+11   x=28

Answer:

x=28

Step-by-step explanation:

Write as decimal

    0.25x+32=x+11

Subtract 0.25x from both sides

    32=0.75x+11

Subtract 11 from both sides

    21=0.75x

Divide both sides by 0.75

    x=28

Left with what x equals

What is ?
A.20º
B.70º
C.90º
D.180º

Answers

Answer:

i think it is 90

Step-by-step explanation:

remember the line is srait

Question 2-4 please

Answers

Answer:

Step-by-step explanation:

2) a) You have to find the area of semicircle.

r = d/2 = 12/2 = 6 mm

Area of semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

                              [tex]= \frac{1}{2}*3.14*6*6\\\\= 3.14*3*6\\\\= 56.52 mm^{2}[/tex]

b) r = 10 cm

Area of quadrant = [tex]\frac{1}{4}\pi r^{2}[/tex]

                             [tex]= \frac{1}{4}*3.14*10*10\\\\=3.14*5*5\\\\= 78.5 cm^{2}[/tex]

3) d = 10 m

r = d/2 = 10/2 = 5 m

Area of circular garden = πr²

                                       = 3.14 * 5 * 5

                                       = 78.5 m²

Area of rectangular pool = 8 * 6 = 48 m²

Area of the garden covered in grass = area of the circular garden - area of pool

   = 78.5 - 48

   = 30.5 m²

4) a) r = 60 cm

Area of the top of the circular table = πr²

             = 3.14 * 60 *  60

            = 11304 cm²

diameter of base = 30 cm

r = 30/2 = 15 cm

Area of circular base = 3.14 * 15 * 15

                                   = 706.5 cm²

46 in = ___ft ___in PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

46 in = 3.83333foot inches is 552 PLEASE HELP!!

14pt = 7 qt but i need the work

The US liquid quart is a unit of fluid volume equal to one fourth of a gallon, two pints, or four cups. The liquid quart should not be confused with the dry quart (US) or the imperial quart, which are different units.

The quart is a US customary unit of volume. Quarts can be abbreviated as qt; for example, 1 quart can be written as 1 qt.

Convert: :
23.7 cm =
mm

Answers

Answer:

237

Step-by-step explanation:

multiply the length value by 10

Answer:

237 mm

Step-by-step explanation:

Formula  

multiply the length value by 10

A store sold 655 bicycles last year. This year the store sold 582 bicycles. What is the percent of change in the number of bicycles sold from last year to this year? Round to the nearest percent

Answers

Answer:

12.5%

Step-by-step explanation:

Given data

Number of bicycles sold last year= 655

Number of bicycles sold this year= 582

%percent change= Iniitial -FInal/initial *100

%percent change= 655-582/582*100

%percent change= 73/582 *100

%percent change=0.125 *100

%percent change=12.5%

Hence the percent change is 12.5%

How do you decide what numbers to use as the numerator and the denominator in each equivalent fraction to the given decimal?

Answers

Answer:

For denominator the number of digits after the decimal are counted to find the multiple of 10s.

The numerator is the decimal number digits with the decimal removed.

Step-by-step explanation:

The given number of the decimal is used as the numerator and the denominator of the decimal always has to be 10 or a multiple of 10 depending on the position of the decimal point.

For example if we have a number 4.3

The numerator will be 43( the decimal is removed) and the denominator will be 10 because in the original decimal number 4.3 the decimal was before only 1 number that is 3.

Now take the example of 4.36

The numerator will be 436 ( the decimal is removed) and the denominator will be 100 ( 10 *10 = 100) because in the original decimal number 4.3 the decimal was before 2 number that is 3 and 6.

so the fraction will be 436/100

Now if we divide 436 by 100 we will get the same answer as the original number

100√436         4.36

        400

          360

          300

            600

          600

          xxx    

The same process is applied to bigger numbers such as 4.365 and so on.

If we have a number 43.6 the numerator will be 436 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 43.6 the decimal was before 1 number that is 6.

so the fraction will be 436/10

If we have a number 436.5  the numerator will be 4365 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 436.5 the decimal was before 1 number that is 5.

so the fraction will be 4365/10

For denominator the number of digits after the decimal are counted to find the multiple of 10s.

The numerator is the decimal number digits with the decimal removed.

25y + 150x = 250

find the Variables

Answers

Answer: Step-by-step explanation:

25y + 150x = 250 (÷25)

y+6x=10

y=10-6x

example x=1 y=4

what is the prime factorization of 693​

Answers

Answer:

The prime factors of 693 are 3, 7, 11.

Hope this helps!

The prime factorization of 693 can be written as [tex]3^2 * 7^1 *11^1[/tex] where 3, 7, 11 are prime numbers.

What is Prime Factorization?

In prime factorization, a number is expressed as a product of its prime factors. A prime number is a number which has exactly two factors, 1 and the number itself.

The process in which we write a number as the product of prime numbers is prime factorization. Prime numbers are the numbers that have only two factors, 1 and the number itself. For example, 2, 3, 5, 7, 11, 13, 17, 19, and so on are prime numbers.

For above given examples,

The prime factorization of 693 can be written as [tex]3^2 * 7^1 *11^1[/tex] . In this case 3, 7, 11 are prime numbers.

Thus, the prime factorization of 693 can be written as [tex]3^2 * 7^1 *11^1[/tex] where 3, 7, 11 are prime numbers.

Learn more about Prime Factorization, here:

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consider the expression
2⁶/2³
what is the value of the expression?​
its urgent

Answers

The value of the expression is 8. I hope this helps!!!

65.6g of sugar is needed to make 8 cakes. How much sugar is needed for 5 cakes?

Answers

Answer:

41 grams

Step-by-step explanation:

Ratios:

[tex]\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41[/tex]

Answer:

41 Grams of sugar

Explanation:

65.6/8 = 8.2

So means 8.2 grams of sugar per cake then,

8.2 x 5 = 41 grams of sugar

Hope this helps! :)

Which steps are correct to solving this?

Answers

Answer:

it will mist likely be A hope this helps

URGENT!!!!!
Select expression that represents the following statement multiply six by the sum of three and eight

Answers

Hi

6 * (3+8)  =  6 * 11 = 66

Answer:

66

Step-by-step explanation:

6 (3+8) aka 6×(3+8)

6 (11)

= 66

What is the answer for 8.7mm and 10mm?

Answers

Answer:

18.7

Step-by-step explanation:

just add them

help me please i will give brainiest!

Answers

Answer:

Latrece will keep $135

Step-by-step explanation:

First, if she sold 18 bracelets, then 18 x 4 = 72.

Latrece will give her friend $72, so 207 - 72 = 135.

Hope this helps!


need help!!!!!!!!!!!!!!!!!!!

Answers

Answer:Table 3 i think

Step-by-step explanation:



Use the ALEKS calculator to write as a percentage.
5/17
Round your answer to the nearest tenth of a percent.

Answers

Answer:

The answer is 29.4%

Step-by-step explanation:

The given is to be rounded to the nearest tenth percent so

5/17 = 0.294

0.294 * 100 = 29.4% since nearest tenth percent

The required answer is 29.4%

Given fraction is 5/17.

Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".

To convert a fraction to a percentage, and multiply the fraction by 100.

Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.

That is , a/b x 100.

And on simplification gives the fractions.

To convert 5/17 to a percentage, we have:

(5/17) x 100 = 29.4117647...

Rounding this to the nearest tenth of a percent, we get:

29.4%

Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.

Learn more about converting fractions to percentages, click here:

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how much is a a $479.00 purchase with 7.5% sales tax

Answers

Answer:

$514.93

Step-by-step explanation:

Before Tax Price: $479.00

Sale Tax: 7.50% or $35.93

After Tax Price: $514.93


The following table is from rolling a six sided die 120 times.
Roll 1 2 3 4 5 6
Frequency 15 18 20 17 24 26
What is the experimental probability of rolling anything other than a 2?

Answers

Answer: did you ever get the answer ?

Step-by-step explanation:

please can someone tell me the defenitions of each of these terms?

1. sales tax
2. rebate
3. income tax
4. gross pay
5. net pay

Answers

A fee charged based on the total cost of things you buy. It is collected by the seller and added onto the price of the things bought. It's based on a percent set by the government.A partial discount or refund given on a purchased itemTaxes paid by employees to federal and state government. Collected or withheld from one's paycheck.The total amount of an employee's earnings before deductions are taken out (aka Total Pay), and may include overtime payThe pay you get after taxes and the deductions. You subtract your gross pay by federal tax, social security, etc.

please help me with this! ( links = report )

Answers

Answer: 7 mi

r = √153.9/pi

r = √49.01

r = 7

Charles offers 7% over dealer cost on a BMW that has a sticker price of $63,000 and a dealer cost of $56,904

Answers

Answer:

The right solution is "$ 60,887.28". A further explanation is provided below.

Step-by-step explanation:

The given values are:

Sticker price,

= $63,000

Dealer cost,

= $56,904

Offer,

= 7%

Now,

The 7% dealer cost will be:

= [tex]\frac{7}{100}\times 56,904[/tex]

= [tex]3,983.28[/tex] ($)

hence,

Amount offered will be:

= [tex]56,904+3,983.28[/tex]

= [tex]60,887.28[/tex] ($)


4. What is the half-life of the radioactive isotope with amount A, whose rate of decay in t hours is shown in the graph below?
(0,40)
(20,15)

Answers

Answer:

15, 25

Step-by-step explanation:

Answer:The half life is the time taken for the amount of a substance to become half of its original value. If we take the initial value to be 30 on the y-axis, the half of 30 is 15. We check the time at which the substance has reduced to 15 atoms and this is about 40 seconds. The answer is C.

Step-by-step explanation:

pls answerrrrrr<3333

Answers

Answer:

[tex](x+6)(x+10)[/tex]

Step-by-step explanation:

Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]

Factor out x from [tex]x2+6x: x(x+6)[/tex]

Factor out 10 from [tex]10x+60: 10(x+6)[/tex]

[tex]=x(x+6)+10(x+6)[/tex]

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

A the distribution will be skewed to the right
Answer: A







Ndndnjcxbcn

Pls help asap thx its about Operations with Exponents
7.
8.
9.
10.​

Answers

Answer:

7. 2s^7

8. 2s^4/5s^2

9. 108s^9

10. h^7

Step-by-step explanation:

7) (2s^3)^4

= 2s^(3+4)

= 2s^7.

8) (2s^2/5s)^2

= (2s^4/5s^2)

= 2s^4/5s^2.

9) 3s^5 × 4s^-2 × 9s^6

= 12s^{5+(-2)} × 9s^6

= 12s^3 × 9s^6

= 108s^9.

10) h^5/h^-2

= h^{5-(-2)}

= h^7.

if it helps don't forget to like and mark me

Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

Answers

Answer:

It D

Step-by-step explanation:

t-shirt costs $12 A pair of shorts costs $25 Amira plans on spending no more than $160 and wants to buy more than 5 items.

Answers

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

the price of a console was reduced from 512 to 384 by what percent was the price reduced

Answers

The answer is 896 Hope this helped.
the price was reduced by 75% 512 divided by 384 = 0.75 0.75 x 100 = 75

Solve by factoring
x^2-3x+16=7x

Answers

x^2-3x-7x+16=0
x^2-10x+16=0
(x-8)(x-2)=0
x=8 or x=2
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