plss help!
Question: Find a,b and c​

Plss Help!Question: Find A,b And C

Answers

Answer 1

Answer:

See below, please

Step-by-step explanation:

The right:

[tex] {(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba = [/tex]

[tex] = {y}^{2} - bx + 2cy + {c}^{2} - ab[/tex]

The left:

[tex] = {y}^{2} - 7x - 18y + 109[/tex]

So, after comparing the right side and the left side of this equation, we know

1)

[tex]b = 7[/tex]

2)

[tex]2c = - 18 \\ so \\ c = - 9[/tex]

3)

[tex] {c}^{2} - ab = 109[/tex]

So,

[tex]a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4[/tex]


Related Questions

Carlos has a 12300 millimeters long piece of wook. he wants to cut it into 3 equal lengths. how long will each piece be in meters?

Answers

Answer:

4.1 meters each

1000 milileters go into 1 meter

Step-by-step explanation:

Answer:

Step-by-step explanation:

12300/3= 4100    1 meter = 1000 millimeters

4100/1000=4.1 meters

If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot

Answers

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

Quadrant III yw :3

Step-by-step explanation:

Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)

Answers

The amount of money Camden would have in his account after 12 years is equal to $2,374.3.

How to calculate compound interest.

To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+r)^t[/tex]

Where:

A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.

Given the following data:

Principal = $1400.

Interest rate = 4.5% = 0.045.

Time = 12 year.

Substituting the given parameters into the formula, we have;

[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]

A = $2,374.3.

Read more on interest here: brainly.com/question/24341207

The question is below:

Answers

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.

?

ANSWER :

B .

y =(1 6 ) ×

or.

C .

y = (2) ×

HOPE IT HELPS .

THANK ME LATER

THANKS.

Which is the solution to the inequality?
y + 15 less-than 3

Answers

Hey there!

"less than" is "<"

y+15<3

Solve it:

y<3-15

y<-12

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

y < -12

Step-by-step explanation:

Edge

Which choices are in the solution set of the equation below? Check all that
apply.
4x = 30
A. 8
B. 7.5
C. 8.5
D. 7
E.6.5

Answers

To solve the equation, divide by 4 on both sides to isolate the variable:
4x = 30
4x/4 = 30/4
x = 7.5

What is 3(b+8) in Distributive Property​

Answers

Answer:

3b + 24

Step-by-step explanation:

3*b=3b

3*8=24

therefore the answer is 3b+24

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

you just multiply 3 and b, it’ll give you 3b, and then 3 x 8 which gives 24. So it’ll be 3b+24

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

( 6(x)² + 12(x) - 90 ) ft³

Explanation:

deep end water: 2(x)² + 12(x) + 10shallow end water: 4(x)² - 100

addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100

total volume of water:

2(x)² + 12(x) + 10 + 4(x)² - 1002(x)² + 4(x)² + 12(x) + 10 - 1006(x)² + 12(x) - 90

Answer:

a)  [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]

b)  [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]

Step-by-step explanation:

Given:

volume of water in the deep end:  [tex]\sf (2x^2+12x+10) \ ft^3[/tex]volume of water in the shallow end:  [tex]\sf (4x^2-100) \ ft^3[/tex]

a)  Total volume of water = deep end volume + shallow end volume

[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]

b) Simplify:

[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]

Collect like terms:

[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]

Combine like terms:

[tex]\sf \implies 6x^2+12x-90[/tex]

Determine
the rotation around the origin that was performed to transform the preimage on the left to its image on the right.

Answers

Answer:

-90 degrees counter clock wise

Step-by-step explanation:

it goes the opposite of a clock so it would be called -90 degrees counter clockwise, you could also say 270 degrees clockwise if the other isnt an option.

What are the missing operations?

A. 48 ? (-8) = (-6)
B. (-40) ? 8 =( -5)
C. 12 ? (-2) = 14
D. 18 ? (-12) = 6
E. 18 ? (-20) = -2
F. 22 ? (-0.5) = -11

Answers

48 /   -8 = -6

-40 /  8 = -5

12  -  (-2) = 14

18 -  (-12) = 6

18 -  (-20) = -2

22  x  (-0.5) = 11

Josiaanswer this is it josia the question

Answers

Answer:

6? i am soooo confused

Step-by-step explanation:

10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?

Answers

40 min = 40/60 hr = 2/3 hr

Distance = x km

t=distance/speed

x/200+x/120=2/3

multiply by 6oo

3x+5x=400

8x=400

x = 400/8=50km

The journey is for 50km


pls giive brainliest\

What is the result when the number 39 is decreased by 3%?

Answers

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3 x = –3 and x = 5 x = –1 and x = 7

Answers

The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.

What is the solution to the equation?

To solve any equation is to find the solution of the given equation which satisfied the equation.

The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]

let u = (x +2)

then the equation becomes

[tex]\rm u^{2} - 2u - 15 = 0[/tex]

by factorizing, we get

(u + 3)(u - 5) = 0

u + 3 = 0, u = -3

u - 5 = 0, u = 5

Since, u = x + 2

So, x + 2 = 5, x = 3

x + 2 = -3, x = -5

Therefore, the solutions to the equation are 3 and -5.

Learn more about the solution of the equation ;

https://brainly.com/question/545403

A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3

Answers

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

Ron started the day with a score of +12.
He lost 4 points, gained 3 points, and then
lost 15 points. What was his score then?

Answers

+ 12 - 4 + 3 - 15

= 12 + 3 - 4 - 15

=     15   -   19

= - 4

Answer:

He has -4 points. if I'm not mistaken

Step-by-step explanation:

12 - 4 + 3 - 15 = -4

I apologize if I am incorrect

e + 3.1 = 5

this is hard.

Answers

AnswerAnswer:E=1.9

Step-by-step explanation:

ssorry bit i conta speak englessh

everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(

Answers

Answer:

11. b

10.d

9.c

7.b

1.d

the rest I can't see clearly

please give brainiest

Step-by-step explanation:

11.

3/x-4=7/x

*cross multiply

3x=7 (x-4)

3x=7x-28

28=7x-3x

28=4x

x=7

10.

SOHCAHTOA

Cos☆=11/14

cos^-1 (11/14)

☆=38.21 degrees

9.

MLN CONGRUENT TO WBN

ML/WB=LN/BN=MN/WN

LN/BN=10/6

ML/WB

24/x=10/6

24x6=10x

144÷10

=14.4

6^2+14.4^2

=243.36

squareroot

=15.6

MATH
NATION
Question 1 of 10
NEXT QUESTION
Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?

Answers

Step-by-step explanation:

the point of extreme value we get a the zero dilution of the first derivative of the function.

h(t) = -0.2t² + 2t

h'(t) = -0.4t + 2

so,

-0.4t + 2 = 0

2 = 0.4t

t = 2/0.4 = 5 seconds

so, after 5 seconds the ball reaches its maximum height.

FYI : that height is then h(5).

-0.2×5² + 2×5 = -5 + 10 = 5 ft

so, all in all, a very weak kick in very low gravity ...

64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)

Answers

The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The relation formula can be used to describe such sequence are,

[tex]f(x+1)=r\times f(x)[/tex]

Here, r is the common ratio.

The given sequence is,

[tex]64, -48, 36, -27, ...[/tex]

In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,

[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]

The common ratio of the sequence is -3/4. Put this value in the above formula as,

[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]

Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

Answer:

B

Step-by-step explanation:

edge

Find the sum of each of the following series:
(a) 2 + 7 + 12 + ...... +92

Answers

Arithmetic Sequence

We can observe that we are adding 5 each time to the numbers, meaning this is an arithmetic sequence with a common difference d=5

Explicit Relation

We can establish the relation,

u(n)=u⁰+nd

where u(n) is the nth term (any term).

u⁰ is out first term (2)

d is the common difference (5)

u(n)=u⁰+nd92 =2 +5n5n =90n =18

This sequence admits 19 terms since we start counting from 0 till 18.

Summation

S= number of terms/2 ×(u¹⁸+u⁰)

[tex]s = \frac{19}{2} \times (92 + 2)[/tex]

[tex]s = 9.5(94)[/tex]

[tex]s = 893[/tex]

That's ur answer :)

Find the exact volume of the radius is 7 inches and the height is 18 inches.

Answers

Answer: 882pi square inches

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:  x = 54°

Step-by-step explanation:

The sum of these three inter angles is equal to 180°.

36° + 90° + x° = 180

         126 + x = 180

                   x = 54°

Step-by-step explanation:

36° +90°+ x = 180° ( sum of all angle of triangle is 180°)

126° + x = 180°

x = 180° - 126°

x = 54°

what is x (its a parralleligram)

Answers

Check the picture below.

Help me please. Don't mind that I answered it, I put whatever so that I can move on to the next page. Show how you did the work!

Answers

Answer:

true false false

Step-by-step explanation:

3,4,5 is a common triangle (proof sqrt(3^2+4^2) = 5)

5,6,7 cant exist sqrt(5^2+6^2) doesnt equal 7

5,5,10 cant exist sqrt(5^2+5^2) doesnt equal 10

The depth in feet, D. of a scuba diver can be modeled by the function D(x) = -x + 12x + 4. where x is the number of seconds spent diving.
What is the number of seconds spent diving when the scuba diver reaches their maximum depth?
Respond in the space provided

Answers

Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the depth is given by:

D(x) = -x² + 12x + 4.

Which means that the coefficients are a = -1, b = 12, c = 4, hence:

[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]

The scuba diver reaches maximum depth after 6 seconds.

More can be learned about the vertex of a quadratic equation https://brainly.com/question/24737967

A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank

Answers

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]

Top: = base [tex]=20.25\pi[/tex]

cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]

Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]

Number of cans of paint:

[tex]c=\frac{579.6}{50} =11.59=12[/tex]

Hope this helps

HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet

Answers

Answer:

23 feet

Step-by-step explanation:

The absolute value of -14 is fourteen.

The absolute value of 23 is twenty-three

23>14

What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.

Answers

The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

The given expression is: [tex]2x^{2} +3x-54[/tex]

What is a factor?

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

[tex]2x(x+6)-9(x+6)[/tex]

Take (x+6) as common

[tex](x+6) (2x-9)[/tex]

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

To get more about factors visit:

https://brainly.com/question/25829061

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