3x = 9x^2 - 10
solve quadratic formula

Answers

Answer 1

Answer:

Step-by-step explanation:

9x²-3x-10=0

[tex]x=\frac{3\pm \sqrt{(-3)^2-4*9*(-10)} }{2*9} \\=\frac{3\pm\sqrt{9+360} }{18} \\=\frac{3 \pm3\sqrt{41} }{18} \\or~x=\frac{1\pm\sqrt{41} }{6}[/tex]


Related Questions

The radius of a circle is 13.9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

87.3

Step-by-step explanation:

C=2piR

2×3.14×13.9=87.33

FIND THE MEASURE OF ANGLE F PLS HELP ASAP!

Answers

Answer:

We know that the sum of the the interior angles of a quadrilateral is 360°.

In the figure, angle H = angle F

angle H+ angle F+ angle E+ angle G =360°

[tex]x + x + 87 + 31 = 360 \\ 2x + 118 = 360 \\ 2x = 242 \\ x = \frac{242}{2} \\ \boxed{x = 121}[/tex]

Therefore, Angle F = 121°.

ABC and ACD are triangles.
a) Show that AC = 11.4 cm, correct to 3 significant figures.
А
17 cm
76°
429
D
13 cm
83
B В-
с
b) Calculate BC.

Answers

Answer:

a) 11.4

Step-by-step explanation:

cos42=0.74

d²=c²+a²-2caCosD

d²=17²+13²-2×17×13×Cos42

d²=17²+13²-328.47

d²=289+169-328.47

d²=458-328.37

d=√129.63

d=11.4

The length of AC is 11.4 cm and the length of BC is 30.9 cm after solving through trigonometric ratios.

What are trigonometric ratios?

Trigonometric ratios deal with the sides and angles in a right angled triangle. sin, cos, tangent ,cosecant ,secant and cotangent are trigonometric ratios.

How to find the length of side of triangle?

ABC and ACD are triangle,

The value of AC will be:

According to cosine formula:

[tex]AC^{2} =AD^{2} +AC^{2} -2AD*AC*Cos D.[/tex]

[tex]AC^{2} =17^{2} +13^{2} -2*17*13* cos 42[/tex]

[tex]AC^{2} =[/tex]289+169-328.47

[tex]AC^{2}[/tex]=129.52

AC=11.4 cm

The value of BC will be as under:

using the sine rule

BC/sin A=CA/sin B=AB/sinC

BC/sin76=11.4/sin 21=AB/sin83

from the first 2 in equal to form

BC/sin 76=11.4/sin 21

BC=30.9

Hence the length of AC=11.4 cm and BC=30.9 cm.

Learn more about trigonometry at https://brainly.com/question/24349828

#SPJ2

Scarlett is going to invest in an account paying an interest rate of 4% compounded daily. How much would Scarlett need to invest, to the nearest ten dollars, for the value of the account to reach $54,000 in 8 years?

Answers

Answer: 39210

Step-by-step explanation:

EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .

Answers

Answer:

#8 --->      1/4  2/5  1/2  3/5  

#9 --->      6 3/8    6 1/2   6 3/4   6 5/6

#10 --->    1.75 feet is the longest

the other lengths are 1.58 ft. and 1.67 ft.

Step-by-step explanation:

good luck!

it's easy if you turn them into decimals.

to do that, you just divide the numerator (top number) by the denominator (bottom number).

e.i.   1/4= .25  (25%)

       1/2= .5   (50%)

       3/5= .6    (60%)

Answer:

8. 1/4, 2/5, 1/2, 3/5

9. 6 3/8, 6 1/2, 6 3/4, 6 5/6

10. the length of the longest bar is 1.75 feet

Step-by-step explanation:

(just convert all the fractions to decimal, it will be easier for you to do!)

8.

3/5 = 0.6

1/4 = 0.25

1/2 = 0.5

2/5 = 0.4

9.

6 3/4 = 6.75

6 1/2 = 6.5

6 5/6 = 6.83

6 3/8 = 6.375

10.

1 7/12 = 1.583

1 2/3 = 1.6 or 1.7

Need your help, if you could help thanks! <3

Answers

Answer: 48 scoops

Step-by-step explanation: It’ll take 4 scoops per liter.

So, for 12 liters use the equation 4 x 12 = 48

Answer: B. 48

Step-by-step explanation: 4 scoops of 1/4 of  a liter is equivalent to 1 full liter. Since we need 12 liters, we multiply 12*4 to give us the amount of scoops needed.

Please solve this problem

Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.

Write an equation that relates the total slices of pizza, T, to the number of guest, g.

Thanks

Answers

Answer:

3g + 8 = T

Step-by-step explanation:

3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.

Hope this helps :D

A triangle with a base of 10 and side lengths of 13 is similar to what other kind of triangle

A. base of 100 and side lengths of 100
B. base of 20 and side lengths of 27.5
C. base of 25 and side lengths of 32.5
D. base of 5 and side lengths of 13

Answers

Answer:

Step-by-step explanation:

the only correct choice is C

= multiplied each side by 2.5

Please quickly answers thus

Answers

Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337


What’s the answer to this question

Answers

Answer: 5

Step-by-step explanation:

x + 8 = 13

Subtract 8 from both sides of the inequality.

x = 13 − 8

Subtract 8 from 13.

x = 5

pls give me brainiest :)

the answer is : 7

7 + 8 =15

15 > 13

4x< 20; x = 20

can you show me the work?

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

4x<20  Equation/Question

Step 2

4x<20  Simplify

4x<20

Step 3

4x<20  Divide by 4

answer

x<5

Solving a word problem on proportions using a unit rate
Kala drove 315 miles in 5 hours.
At the same rate, how long would it take her to drive 693 miles?

Answers

Answer: It would take Kala 11 hours to drive 693 miles

Step-by-step explanation:

315/5=63 miles an hour

693/63=11 hours

It would take Kala 11 hours to drive 693 miles

Are the lines parallel?

Answers

no cuz there’s a line crossing


parallel lines must have nothing intersecting


hope this helps


brainliest plz

9x5=
(__×__) + (__×__)=
__+__
=

Answers

Answer:

9×5=(5×5)+(4×5)

Step-by-step explanation:

9×5=(5×5)+(4×5)

25+25

45Answer.

Answer:

Step-by-step explanation:

(3x3)+(2.5x2)=(39+6)

2y + 4x = 16

Anyone know how to solve for Y?

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

In this question, you have to solve for "y".

Solve:

2y + 4x = 16

Get "y" by itself by subtracting 4x from both sides.

2y = -4x + 16

Simplify by dividing both sides by 2.

y = -2x + 8

Answer:

this i what i got..........

Dana works at a flower shop. One day she received a delivery of flowers and 30% of the flowers were roses. There were 240 roses. What percent of the flowers were not roses?

Answers

Answer:

800

Step-by-step explanation:

I started off with putting 240 over x and 30 over 100. Next I multiplied 240 with 100 and got 24000. Then I divided that with 30 and got 800 as my answer.

Hope this helps :)

There are 3 ants in the soccer field each day the number of ants are multiplied by 10 This function represents

Answers

Answer:

3 x 10d = a

d=days

a=ants

Step-by-step explanation:

SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!

Answers

Answer:

39

Step-by-step explanation:

x+3x+24=180

4x=156

x=39=A

3x=117=B

Identify the property that justifies the following statement
1. Distributive Property of Congruence

2. Symmetric Property of Congruence

3. Reflexive Property of Congruence

4. Transitive Property of Congruence

Answers

Transitive property of congruence

Answer:

Transitive property of congruence

Step-by-step explanation:

plzzzzzzzzzzzz help meeeeeeeee
#7thgrademath

Answers

Answer:

all of them are 180 :)

Step-by-step explanation:

A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn? If the width of the fixture is w meters, find w to one decimal place.

Answers

Answer:

w is 4.8 meters

Step-by-step explanation:

-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.

- a rectangle has 2 sets of equal sides.

-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.

-now 15.8 - 6.2 = 9.6 meters

- 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.

the width, w, is 4.8 meters.

2W + 2(W + 3.1) = 15.8
2W + 2W + 6.2 = 15.8
4W + 6.2 = 15.8
4W = 9.6
W = 2.4

Perimeter
2.4 + 2.4 + (2.4 + 3.1) + (2.4 + 3.1) = 15.8

The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m. Find the mean of the heights of the buildings D and E.

Answers

Answer:  15.7 meters

========================================================

Work Shown:

s = sum of the heights of buildings A,B,C

s/3 = mean of the heights of buildings A,B,C

s/3 = 14.2

s = 3*14.2

s = 42.6

The buildings A,B,C have their heights add up to 42.6

--------------

r = sum of the heights of buildings A,B,C,D,E

r/5 = mean of the heights of buildings A,B,C,D,E

r/5 = 14.8

r = 5*14.8

r = 74

--------------

r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)

r-s = sum of the heights of buildings D and E

r-s = 74-42.6

r-s = 31.4

(r-s)/2 = mean height of buildings D and E

(r-s)/2 = 31.4/2

(r-s)/2 = 15.7 meters is the average height of buildings D and E.

Evaluate w divided by z if w= 6/7 and z= 3

Answers

Answer:

[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]

Step-by-step explanation:

Given that,

[tex]w=\dfrac{6}{7}[/tex]

z = 3

We need to find [tex]\dfrac{w}{z}[/tex].

Put w = 6/7 and z = 3 in the w/z

[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]

So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.

Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.

Answers

Answer:

100(2)^h =6,400

Step-by-step explanation:

For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.

2. Karen has 445 stickers in her collection. There are 221 animal stickers and 174 cartoon stickers. She also has some flower stickers. How many flower stickers does she have?​

Answers

Answer:

c

Step-by-step explanation:

Solve number 8 (geometry)

Answers

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if correct

Answers

Answer:

it is the mean mode and range

Step-by-step explanation:

it is a pair of numbers

what is the equilvant expression 2^-2

Answers

Answertrkbjvncdmxs

nbjtrlkmg;e,'dmfnvhnjvlfkvmkj j nfcmkgtrj

Step-by-step explanation:

What is the value of f(3) f ( 3 ) for the function f(x)=4x−1

Answers

Answer:

1

Step-by-step explanation:

f(x)=4x-1

3(x)=4x-1

3x=4x-1

3x-4x=-1

-1x=-1

x=1

Calculate the value of the expression 18/-3
Select one:
A. 6
B. -6
C. -4
D. 0.167
E. -0.167

Answers

Answer:

-6

Step-by-step explanation:

Any number that is divided by a negative number is a negative number as an answer which is -6.

The answer is B. -6
Other Questions
can someone answer those 2 questions please!!?? A principal of $2600 is invested at 3% Interest, compounded annually. How much will the investment be worth after 14 years in long division 42 divided by 966 If a = 5^x, b = 5^y and a^yb^x = 25 then prove that: xy =1 3 which number line best represents 21/4 Easy area questionNeed fast Which two elements of a play are most helpful for understanding the play's characters?settingstage directionsdialoguetitle HELPPPPP PLZZZ!!!!: A 16 ounce packages of cashews costs 12$What is the cost per ounce of cashews? Read the following statement and answer the question below.Cincinnatus was a legendary Roman general who gave up power voluntarily.The legend of Cincinnatus has been traditionally applied to which Founding Father?John AdamsThomas JeffersonBenjamin FranklinGeorge Washington What has become more important than money to Scrooge? Scene 6 of A Christmas Carol i need help tooplease i will give brainly Help ill mark u brainliest A solid substance formed from a solution is a(n)a. reactantb. equationC. compoundd. precipitate Several children and adults visited a zoo last week. Thenumber of children was 4 more than 2 times the number ofadults. Let c represent the number of children and a representthe number of adults. Which equation shows this situation?C=4a-2BC = 4a + 2C = 2a + 4DC = 2a-4 Identify the common name of this free-living organism. There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses? Please help me ASAP Ill mark Brainly Why do you think Dr. King joined the March on Washington? Which of the following is equivalent to y = log7 x ? A beaker contains water and reads 14 ml. A sample of mineral is placed in the beaker and the water leaves rises to 21 ml. What is the volume of the mineral?