I need help pleaseeee

The solutions of the quadratic equation  x² = 16x - 65 are:

x = 1/2 +  1/32i

x = 1/2 - 1/32i

We know that a quadratic equation is an equation that is of the sort ax^2 + bx + c = 0. Hence, the equation would be solved and it could have a complex root. By this I mean that the root of the equation could be a complex number as we have in the case of the equation here.

x² = 16x - 65 = 0

x² - 16x + 65 = 0

When we solve by the formula method;

x = -b ±√b^2 - 4ac/2a

x = -(-16) ±√(-16)^2 - 4 (1) (65)/2(16)

x = 16 ±√256 - 260/32

x = 16/32 ±√-4/32

x = 1/2 ± 1/32i

Thus

a =  1/2

b = 1/32

We then obtain;

x = 1/2 +  1/32i

x = 1/2 - 1/32i

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Answer:

a = - 2

Step-by-step explanation:

since the point (3, 2 ) lies on the parabola, then it makes the equation true.

substitute x = 3, y = 2 into the equation and solve for a

y = ax² + 3x + 11

2 = a(3)² + 3(3) + 11

2 = 9a + 9 + 11

2 = 9a + 20 ( subtract 20 from both sides )

- 18 = 9a ( divide both sides by 9 )

- 2 = a

Answer:

a = -2

Step-by-step explanation:

Given quadratic equation:

[tex]y=ax^2+3x+11[/tex]

In order to find "a", substitute the given point on the curve (3, 2) into the equation and solve for a:

[tex]\begin{aligned}y&=ax^2+3x+11\\\textsf{Substitute $(3,2)$} \implies 2&=a(3)^2+3(3)+11\\2&=9a+9+11\\2&=9a+20\\2-20&=9a+20-20\\-18&=9a\\9a&=-18\\\dfrac{9a}{9}&=\dfrac{-18}{9}\\\implies a&=-2 \end{aligned}[/tex]

Therefore, the value of "a" so that parabola y = ax² + 3x + 11 goes through the point (3, 2) is:

[tex]\large \boxed{a=-2}[/tex]

Proved [tex]Cos^{4}x - Sin^{4}x + 1[/tex] = 2Cos²x

We will use the Pythagorean Theorem:

Sin²x + Cos²x = 1

from which we can get:

Sin²x = 1 - Cos²x

Also, note that the difference in the similarity of squares can be written:

A² - B² = (A - B)

We can use this with A = Sin²x and B = Cos²x as follows:

[tex]Sin^{4}x - Cos^{4}x[/tex]

= (Sin²x)² - (Cos²x)²

= (Sin²x - Cos²x) (Sin²x + Cos²x)

= Sin²x - Cos²x

= (1 - Cos²x) - Cos²x

= 1 - 2Cos²x

Now move the 1 and negative symbols to the left.

[tex]Cos^{4}x - Sin^{4}x + 1[/tex] = 2Cos²x

The trigonometric ratios are related to each other by equations called trigonometric identities.

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Answer:

Your number written in expanded form is: 80000 + 4000 + 700 + 80 + 7

The decomposition of 240 - 135 = 105 will be 15(16 - 9) = 15(7) = 105

It should be noted that decomposition simply means breaking down of the numbers that are given or illustrated.

It should be noted that the numbers 240 - 135 = 105 all have a common factor of 15. This will be broken down as:

240 - 135 = 105

15(16 - 9)

= 15(7)

= 105

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25.42 marked down by 33 % is 17.0314.

This is a question of percentages.

Percentage

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number.

33 % of 25.42 is given by:-

(33/100)*(25.42) = (33*25.42)/100 = 838.86/100 = 8.3886

25.42 marked down by 33 % = 25.42 - 8.3886 = 17.0314.

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Answer:

b 23 is your answer okisussu

A man's taxable income is $3060 if tax is paid at 12%, then the man's net income is $3477.27

The taxable income = $3060

The tax percentage = 12%

Income tax is the a type of tax impose on income generated by businesses and individuals by the government

Consider the net income as x

Then,

12% of the income = x×(12/100)

Therefore the equation will be

x -  x×(12/100) = 3060

x(1-(12/100) = 3060

x(1-0.12) = 3060

0.88x = 3060

x = 3060/0.88

x = $3477.27

Hence, a man's taxable income is $3060 if tax is paid at 12%, then the man's net income is $3477.27

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Answer:

Answer down below!

Step-by-step explanation:

It is not prime!!

10,000,000,001 is an odd eleven-digits composite number following 10000000000 and preceding 10000000002. In scientific notation, it is written as 1.0000000001 × 10^10. The sum of its digits is 2. It has a total of 3 prime factors and 8 positive divisors. There are 9,897,840,000 positive integers (up to 10000000001) that are relatively prime to 10000000001.

∠6 and ∠12 are supplementary angles. That means, they add up to 180°

Substitute ∠6 by 53° to find ∠12.

Subtract 53 from both sides to find ∠12.

Answer: ∠12 = 127°.

The equation for the line that is parallel to the given line y=3/4x + 7 and that passes through the given point G (8,3) is y= (3/4)x -3.

As given in the question,

Equation of the given line :

y=3/4x + 7

Slope of the given line = (3/4)

Equation of line with slope (3/4) & passing through point (8, 3) is given by:    

y - 3 = [tex]\frac{3}{4}[/tex] (x - 8)      

⇒ 4 (y - 3) = 3 (x - 8)

⇒ 4y - 12 = 3 x - 24

⇒ 4 y = 3 x - 24 + 12

⇒ 4 y = 3 x - 12

⇒ y = (3/4)x - 3

Therefore, the equation for the line that is parallel to the given line

y=3/4x + 7 and that passes through the given point G (8,3) is y= (3/4)x -3.

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Answer: m = (3/2)r

Step-by-step explanation:

2/3m+a=a+r, for m

----

(2/3)m + a = a + r

---

(2/3)m = r

Answer:

The probability is 5/8

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Think of .5 as 2 and instead of dividing, you're multiplying.

So instead of 12/.5, it would be 12x2, which is 24.

Hope that helps!

Answer:

12 + 6 - 15 + (-1) = 2

Step-by-step explanation:

4a = 3 × 4 = 12

ac = 3 × 5 = 15

12 + 6 - 15 + (-1) = 2

Answer:

24

Step-by-step explanation:

it just is, I don't know how I get this. I just did.

[tex]\frac{2n+48}{3}[/tex]

The value of 3/12 of 100 is 25 .

In the question ,

a fraction 3/12 is given ,

we have to find the value of 3/12 of 100 .

to find the value , we first convert both the numbers into fraction

So 100 in fraction form can be written as 100/1

So the value 3/12 of 100 means

= [tex]\frac{3}{12} *\frac{100}{1}[/tex]

multiplying the numerator with numerator

and multiplying denominator with denominator .

we get = 300/12

on further  simplification ,

we have ,

= 75/3

= 25

So , 3/12 of 100 = 25

Therefore , The value of 3/12 of 100 is 25 .

The given question is incomplete , the complete question is

What is the value of 3/12 of 100 ?

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This how we change 23 out of 25 to a percentage

The numerator of a question is the number that appears above the bar; in this case, the numerator is 23.

The denominator is the number beneath the bar, and in this question, it is 25.

To calculate the value of a fraction, divide the numerator by the denominator.

Therefore, we must divide 23 by 25.

23/25 = 0.92

To determine the percentage, multiply the outcome by 100.

The percentage value will be obtained by multiplying 0.92 by 100.

0.92 x 100 = 92%

As a result, 92% is the answer to the question.

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Answer:

Value of x is 22 because there are alternative angles

Step-by-step explanation:

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

The value of AC when BD= 12 and AC = x+ 23 is 28

A line segment can be defined as the part of a straight line that is being bounded by two different end points, and also contains all the points on the line between its endpoints.

From the information given, we have that line AD is a line with segments, line AB, line BC, line CD with B and C as the midpoints.

Given the points as;

We have that;

AC + BC = AD

But line BD = 14 + x, we have;

Line AC = x + 23 - 14 + x

Line AC = 2x + 9

substitute the values into the equation

2x + 9 +12 = 26 + x

collect like terms

2x - x = 26 - 21

Add or subtract like terms

x = 5

But, we have that;

Line AC = x + 23

Line AC = 5 + 23

Add the values

Line AC = 28

Hence, the value is 28

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The simplified expression for -27z^3-9z^4+18z^6, using the greatest common factor, is given as follows:

9z³(-3 - z + 2z³).

To find a symbolic expression by the greatest common factor, we have to:

Then we multiply these GCFs.

For this problem, the numeric coefficients are given as follows:

27, 9 and 18, hence the GCF is of 9.

The exponents are given as follows:

z³, z^4 and z^6, hence the GCF is of z³, which is the expression with the lowest exponent.

Then the GCF of the expression is given as follows:

9z³.

To simplify the expression, each term of the expression is divided by 9z³, hence the factored expression is:

9z³(-3 - z + 2z³).

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The statement that is best supported by the graph is; Jillian's car holds more gasoline, but Nikki's car gets better gas mileage.

The total amount of gasoline each car tank can hold is shown on the left of each graph on the y-axis.

Jillian's car holds 22 gallons.

Nikki's car holds 20 gallons.

Jillian's car holds more gasoline.

Now we need to see which car gets better gas mileage. Getting better gas mileage means you can go farther with each gallon of gas.

With Jillian's car, after using 22 gallons of gas, you have gone 350 miles, and the gas tank is empty.

350 miles with 22 gallons is 350/22 = 15.9 miles per gallon.

With Nikki's car, you start with only 20 gallons. By the time you drive 350 miles, you still have some gas left. Not only did you start with less gas, 20 gal vs. 22 gal, but after driving the same distance, 350 miles, there is still some gas left in the tank, 6 gallons.

That means Nikki's car used 20 - 6 = 14 gallons to drive 350 miles. 350/14 = 25 miles per gallon.

The more miles per gallon you get, the better the mileage. Thus;

25 miles per gallon is better mileage than 15.9 miles per gallon.

Nikki's car has a smaller gas tank, but it gets better mileage.

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Answer:

13.3 liters of petrol left

Step-by-step explanation:

80 ÷ 6 = 13.3

Answer: −18.5s+28.1

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Answer:

20%

Step-by-step explanation:

4/20

 20 x 5 = 100

 4x 5 =20

20/100=20%

Answer: The answer would be  12 39/72

Step-by-step explanation:

903 divided by 72, you'd get 12.5417. You could also express 903/72 as a mixed fraction: 12 39/72.

√134 is the number which is located between 11 and 12 on a number line.

A number line is a horizontal straight line on which real numbers are arranged in equal intervals. This line extends both sides at infinity.

Comparison and operations of numbers can be better explained using number lines.

Taking consecutive perfect squares of integers which lies above and below the given numbers on the number line and taking it's square root, we can find the answer.

The perfect squares below and above 150 are 144 = 12² and 169 = 13². So √150 lies in between 12 and 13.

The perfect squares below and above 134 are 121 = 11² and 144 = 12². So √134 lies in between 11 and 12.

The perfect squares below and above 115 are 100 = 10² and 121 = 11². So √115 lies in between 10 and 11.

The number 121 is itself a perfect square. √121 = 11.

Hence √134 is the number which lies in between 11 and 12.

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Answer:

9.32 if question is [tex]3.5^2-\sqrt{8.6}[/tex]

or

10.55 if question is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex]

(see explanation below)

Step-by-step explanation:

I took the question as
[tex]3.5^2-\sqrt{8.6}[/tex]

since it was not clear if it was [tex]\sqrt{8.6}[/tex] or [tex]\sqrt{8} \cdot 6[/tex]

If it is  [tex]3.5^2 - \sqrt{8} \cdot 6[/tex] then the answer would be 10.55

So check out your question and choose

The frequency of the 10 inch violin string will be 630 cycles per second or Hertz if the violin string 14 inches long vibrates at a frequency of 450 cycles per second.

As per the question statement, A violin string 14 inches long vibrates at a frequency of 450 cycles per second and we are supposed to find out the  frequency of a 10-inch violin string.

We should be knowing that the length of a violin string varies inversely as the frequency of its vibrations.

f = m/l, where "f" is the frequency and "l" is the length and "m" is the constant number

450 = m / 14

m = 6300

Therefore New frequency = 6300 / 10 = 630 cycles per second

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Using linear function concepts, it is found that:

The slope-intercept representation of a linear function is:

y = mx + b.

In which:

For this problem, we will use a calculator from the points on the table to build a linear function of best-fit. The points are given as follows:

(5, 17.9), (10, 18.7), (15, 19.7), (20, 20.5), (25, 21.3).

Then the function is:

y = 0.172x + 17.04.

Then:

The table is missing, and is given by the image at the end of the answer.

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