For question 25 please pick 1,2,3 or 4

For Question 25 Please Pick 1,2,3 Or 4

Answers

Answer 1

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

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

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]


Related Questions

what is the standard form of 7+3i/2-5i

Answers

Answer:

-1/29+41/29*i

Step-by-step explanation:

(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=

(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i

Allie and Samuel are rock climbing

*Allie climbs 5 1/2 meters in the first 1/4 hour.

*Samual climbs 14 1/4 meters in the first 3/4 hour.


each person's rate stays the same for the first hour they climb.


Part A


Which statements are true?


Select all that are Correct.

A. Samuel climbs at a rate of 19 hours per hour

B. Allie takes 1/22 of an hour to climb one meter.

C. Allie climbs at a rate of 1/22 meter per hour

D. Samuel climbs at a rate of 1/19 meter per hour

E. Samuel takes 1/19 of an hour to climb one meter

Answers

Answer:

A and E

Step-by-step explanation: I done this before

The statements that are true are:

Allie takes 1/22 of an hour to climb one meter.

Samuel takes 1/19 of an hour to climb one meter.

Options B and E are correct.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

For Allie.

She climbs 5(1/2) meters in 1/4 hour.

This means,

11/2 meters = 1/4 hour

22 meters = one hour

Rate = 22 meters per hour.

We can also say,

To climb one meter, she takes 1/22 of an hour.

For Samuel.

He climbs 14(1/4) meters in 3/4 hour,

This means,

57/4 meters = 3/4 hour

19 meters = one hour

Rate = 19 meters per hour.

We can also say,

To climb one meter, he takes 1/19 of an hour.

Thus,

Allie takes 1/22 of an hour to climb one meter is true.

Samuel takes 1/19 of an hour to climb one meter is true.

Learn more about fractions here:

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the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.

Answers

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters​

Answers

Answer:

The volume remaining is approximately  536 cm³

Step-by-step explanation:

The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:

[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]

While the volume of the cone is:

[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]

What remains on the hemisphere is the difference between these volumes, therefore:

[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]

The volume remaining is approximately  536 cm³

Find the difference quotient of​ f; that​ is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6

Answers

Answer:

-4

Step-by-step explanation:

Given the following function:

f(x) = -4x + 6

We have to find the difference quotient of​ f(x); that​ is,

[f(x + h) - f(x)]/h

So, we ned to compute f(x + h) as follows:

f(x+h) = -4(x+h) + 6 = -4x - 4h + 6

Replacing into the difference quotient, we get:

[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h

[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h

[f(x + h) - f(x)]/h = [- 4h)]/h

[f(x + h) - f(x)]/h = -4

let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5

Answers

Answer:

g(5)=17

Step-by-step explanation:

g(x)=3x+2

Let x = 5

g(5) = 3*5+2

      = 15+2

      = 17

Answer:

17

Step-by-step explanation:

Just substitute 5 into the position of X

Gregory spins the spinner once. What is P(vowel)?
PLEASE HELP ME!!!

Answers

Answer:

There is two vowels and 6 sections in total

2 wanted sections / 6 total sections = 1/3

1/3 chance or 33.33333%

Step-by-step explanation:

PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?

Answers

Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.

Answers

Answer:

6.5

Step-by-step explanation:

If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.

If In triangle PQR, PQ = 13, QR = 14, and PR = 15.  M is the midpoint of QR.  PM is: 12 cm.

Triangle PQR

In △PQR

M=Midpoint of side QR

PM =Median of the  iangle

Using Apollonius theorem

PQ ² +PR ² =2PM ² +2QM ²

13²+14²=2PM ² +2(1/2QR) ²

169+196=2PM ²+2(6)²

169+196=2PM ²+2(36)

365=2PM ²+ 72

2PM ²=293

Divide both side by 2

PM ²=293/2

PM ²=146.5

PM=11.97 cm

PM=12 cm (Approximately)

Therefore PM is 12 cm.

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Find the measure of an exterior angle of a regular hexagon

Answers

Answer: 60 degree angle

Step-by-step explanation:

The rule for polygons is that the sum of the exterior angles adds up to 360. Since there are 6 exterior angles on a 6 sided polygon (hexagon), then we can divide 360 by 6 to find the measure of an exterior angle. This means that one exterior angle of a hexagon is equal to 60 degrees.

I need help on this 10j< – 10

Answers

Answer:

j<-1

Step-by-step explanation:

10j<-10

divide both sides by 10 and get

j<-1

Answer:

[tex]j < - 1[/tex]

Step-by-step explanation:

[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM

Answers

Answer:

12:00 AM

Step-by-step explanation:

Taking the lodge as the center of the coordinate system, the position of each person is:

William: 6+3*t

Nancy: 5*t

Edgar: 12*t

where t is in hours after 10:00 am

Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.

WN = √[(5*t)² + (6+3*t)²]

Similarly, Between the positions of Nancy and Edgar:

NE = √[(5*t)² + (12*t)²]

If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then

NE = WN + 10

√[(5*t)² + (12*t)²]  = √[(5*t)² + (6+3*t)²] + 10

With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM

Which of the following best represents 43?

A number between ____ and ____.

A. 7 and 8

B. 8 and 9

C. 5 and 6

D. 6 and 7

Answers

Answer:

D

Step-by-step explanation:

If you mean the sqrt of 43, then

sqrt 36 is 6

sqrt 49 is 7,

since sqrt of 43 is between sqrt 36 and sqrt 49,

sqrt of 43 is between 6 and 7

The answer will be 8 and 9

What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point -4, -3

Answers

Answer:

y=x^2+7x+12

Step-by-step explanation:

I don’t need you to explain just answer.

Answers

Y-intercept:

To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.

Slope:

To find the slope of the line, use the equation:

(y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.

Equation:

y = (y-intercept) + x(slope)

Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°

b. it has no reflectional symmetry

c. it has reflectional symmetry with two lines of symmetry

d. it does not have symmetry point​

Answers

Answer:

a. it has rotational symmetry with an angle of rotation of 90°

Step-by-step explanation:

A.3/4
B.4/3
C.-4/3
D.-3/4
I need help so bad pls

Answers

I’m pretty sure that it is b
The answer is B or C and if it’s not then my bad

The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2

Answers

Answer:

[tex]400\pi m^2[/tex]

Step-by-step explanation:

If the diameter is 40, the radius is 20.

The area is 400π

which phrase best describes a theorem in an axiomatic system?

Answers

Answer:

The best phrase that describes a theorem in axiomatic system is :

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

hope this helps

Answer:

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

25 POINTS!!!!Which of the following statements are true? Select all that apply.


The product of B and D is negative.

The quotient of A and C is positive.

= A ∙

The quotient of 0 and F is undefined.

A ∙ D = -E ∙ D

Answers

Answer:

then 0 and f have to be positive.

Step-by-step explanation:

Mark me brainlest.

Answer:

Its A and C  and F

Step-by-step explanation:

Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers

Answers

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.

The values of a and b are 2 and 11 respectively.

By completing the square method;

a = (4/2) = 2.

Therefore, by expanding (x+a)² i.e (x+2)²

We therefore have; x² + 4x + 4

However, the question is given as x²+4x-7

Therefore, by comparison between;

x² + 4x + 4 and x²+4x-7; we have;

4 - b = -7, b = 7+4

Ultimately, b = 11

Read more:

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What is the equation of a line, in standard form, for the line with slope 5 and a y-intercept of -4?
a) 5x + y - 4 = 0
b) 5x - y + 4 = 0
c) 5x - y - 4 = 0
d) 5x + y + 4 = 0​

Answers

Answer:

Option c

Step-by-step explanation:

Converting all options into slope intercept, you get

a) y=-5x+4

b) y=5x+4

c) y=5x-4

d) y=-5x-4

option c has slope 5 and y-intercept -4


Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).

Answers

Answer:

27.4

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+ 34.6+118 = 180

Combine like terms

x+152.6 = 180

Subtract 152.6 from each side

x +152.6-152.6 = 180-152.6

x =27.4

_________________________________

Solution,

x+118+34.6=180°( sum of angle in traingle)

or,x+152.6=180

or,X=180-152.6

X=27.4

The value of X is 27.4 °

hope it helps

Good luck on your assignment

_________________________________

Simplify the expression:

3x (4x-6)
—————
2x(3x)

Answers

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

equation of the line that passes through (2, -1) and has a slope of
-5

Answers

The equation : y = -5x + 9

which inequality is represented by this graph ?

Answers

Answer:

D

Step-by-step explanation:

The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.

Answer:

x≥4

Step-by-step explanation:

There is a closed circle at 4  which means there is an equal to sign and the lines goes to the right which means greater than

x≥4

PLS HELP my homework is due tomorrow

Answers

Answer:

for 1 its -0.25 and 1.25

for 2 its -0.5. and 1.5

Step-by-step explanation:

idk if there is,  but just use the graph + common sense.

you don't need to solve it in any way

directions for constructing the centroid of a triangle? ​

Answers

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

This year,a small business had a total revenue of 89,100. If this is 32% more than their total revenue the previous year, what was their total revenue the previous year ​

Answers

Answer: 60588

Step-by-step explanation:

= 89100 x 0.68

= 60,588

can someone help me??????​

Answers

Answer:

25.2

Step-by-step explanation:

Volume of container: 2x3x5=30

0.84x30=25.2

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