The area of a triangle is formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. Find A if it is known that parabola opens upwards

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

Answer 2

Answer:

a=2/3

Step-by-step explanation:

1. y=a(x-x1)(x-x2) is a formula for a parabola, x1 and x2 being points where y=0 so in the equation y=a(x-3)(x+2), you know

x1=3, x2=-2

2. Find distance between 3 and -2, which is 5

3. bh/2=A --> 5h/2=10 --> h=4  (h is height)

4. when x=0, y=-6a, y=a(0-3)(0+2)

5. because parabola opens upward, the point of the vertex must be (_, -4)

6. -6a= -4

     a=2/3


Related Questions

What is the inverse of adding 13?

Answers

Answer:

-13

Step-by-step explanation:

the inverse of 13 will be -13 or say its the opposite.

plz mark the brainliest

Answer:

The additive inverse is just the opposite, -13

Common factor: 3x^2y^2z^2+5xyz—8x^2

Answers

Answer:

x

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Find the magnitude of the vector.
17i – 39j

Answers

I don’t get the question

If there are 14 people, and each person has 2 coins, there are ____ times as many coins as people.

Answers

Hi so u would multiply then add 2 to get ur answer

Answer:

28

Step-by-step explanation:

am i wrong

ok bb now

--z-

What is the slope of the line shown?

Answers

Answer:

The slope of the line shown is 2

Tanner is picking three varieties of apples at an orchard: Gala, Fuji, and Jazz. Each type of apple has a different cost per pound. He knows that 1 pound of each apple variety would cost a total of $5.16, and that the cost per pound of Jazz apples is the same as the combined cost per pound of the Gala and Fuji apples. Tanner picks 12 pounds of apples, including 3 pounds of Gala and 5 pounds of Fuji, for a total cost of $21.24.


If g represents the cost per pound of Gala apples, f the cost per pound of Fuji apples, and j the cost per pound of Jazz apples, which system of equations represents this situation?

Answers

Answer:

2g + 2f = 5.16

7g + 9f = 21.24

Step-by-step explanation:

Let

Gala = g ; Fuji = f ; jazz = j

g + f + j = 5.16 - - - (1)

j = g + f - - - (2)

From (1):

g + f + g + f = 5.16

2g + 2f = 5.16 - - - (3)

Total pound picked by Tanner = 12

3 Pounds of g ; 5 pounds of f

j = 12 - (5 +3) = 4 pounds

3g + 5f + 4j = 21.24 - - - (4)

3g + 5f + 4(g + f) = 21.24

3g + 5f + 4g + 4f = 21.24

7g + 9f = 21.24 - - - - - (5)

this should be the answer for this question!

Distribute: -1/2(10b + 18)
please i need this before 8:00pm

Answers

Answer:

-5b - 9

Step-by-step explanation:

-1/2 (10b) = -5b

-1/2 (18) = -9

The population of the United States in 1990 was 85,455,930 in 2003 it was 104,538,348 what was the percent change

Answers

Answer:

22.33%

Step-by-step explanation:

22.33% hope this helped!

A laptop has a price $300. The store is giving a 15% discount for the laptop. How much will the laptop cost?

Answers

15% off of 300 would be 255

A store sells a certain digital camera model for $108. During a special promotion, the camera is discounted by 30%. What is the discounted price?​

Answers

Answer:

discount=108$-$32.4=75.6

Increase £89 by 61%
Give your answer rounded to 2 DP.

Answers

Answer:

[tex] 89 \times \frac{61}{100} = \frac{5429}{100} = 54.29[/tex]

89+54.29=143.29


[tex]5x {}^{2} + 2x - 3 - px - p[/tex]

Answers

Answer:

5x² + 2x - 3 - px - p

= 5x² + 5x - 3x - 3 - p(x + 1)

= 5x(x + 1) - 3(x + 1) - p(x + 1)

= (x + 1)(5x - 3 - p)

can't figure out this problem can anyone help if so thank you

Answers

Answer:

10th term of the sequence = 0.537

Step-by-step explanation:

First three terms of the sequence are → 5, 4, [tex]\frac{16}{5}[/tex]..........

Ratio of 2nd and 1st term of the sequence = [tex]\frac{4}{5}[/tex]

Ratio of 3rd and 2nd term of the sequence = [tex]\frac{\frac{16}{5} }{4}[/tex]

                                                                        = [tex]\frac{4}{5}[/tex]

Therefore, ratio between every successive term to the previous term is common.

Common ratio 'r' = [tex]\frac{4}{5}[/tex]

First term of the sequence 'a' = 5

nth term of a geometric sequence = [tex]a(r)^n[/tex]

Therefore, nth term of the given term will be  [tex]T_n=5(\frac{4}{5})^n[/tex]

Now we have to find the 10 term of the given sequence.

For n = 10,

[tex]T_{10}=5(\frac{4}{5})^{10}[/tex]

      = 0.53687

      ≈ 0.537

Therefore, 10th term of the sequence is 0.537

What is the slope of the line (-4,-1) (1,4)

Answers

Answer:

1

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

yes what do you need help with

b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)

Answers

I just plugged in 15 for b and 9 for c and got -15

how do you find the valume

Answers

Answer:

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three-dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Step-by-step explanation:

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

Its the second option

Step-by-step explanation:

4. The difference between a number x and 12.

Answers

Answer:

12 - x

Step-by-step explanation:

Factor completely 7x2-45x-28

Answers

9514 1404 393

Answer:

  (x -7)(7x +4)

Step-by-step explanation:

The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...

  (7)(-28) = (4)(-49)

7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)

i need to drag one into the box to match them

Answers

Answer:

54÷9 = 6 so for the second box is 6 hot dogs per person

54÷27= 2 third box is 2 hot dogs per person

54÷54= 1 fourth box is 1 hot dog per person

Kevin pays $12.95 for a text messaging service plus $0.07 for each text message he sends. Which of the following equations could be used to represent the total cost, y, when x represents the number of text messages sent?

Answers

Answer:

y=0.07x + 12.95

Step-by-step explanation:

Hey Everyone I was asking anyone can help with this problem it would really appreciated.

Answers

Answer:

angle G = angle I

HGI=HIJ by RHS fact

HGI=HIJ corresponding angles are alwyas congurrent

The only coins that Kyle has are dimes and quarters. He has a total of 30 coins. The total value of Kyles coins is $4.80. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarters, q, kyle has?

Answers

Try 12 quarters = $3

Try 18 dimes = $1.80

30 coins check

$4.80 check

PLZ mark brainiest

Find the area A of polygon JKLMNO with the given vertices.
J(-1,2), K (1,2), L (3,3), M (3,1), N (1,0), 0(-1,-3)
A-
square units

Answers

Answer:

11 square units

Step-by-step explanation:

Find the distances and then add them all together. Distance formula: d,———-(square root) (x2-x1)2+(y2-y1)2

find the total surface area for this cuboid

Answers

Answer:

24cm

Step-by-step explanation:

surface= Ixb

= 6x4

= 24cm

Answer:

148cm(squared)

Step-by-step explanation:

5 x 6 = 30

5 x 4 = 20

6 x 4 = 24

30 + 24 + 20 = 74cm

74cm x 2 = 148cm(s)

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

Answers

Answer:

13

Step-by-step explanation:

Replace X with 2

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

g(x) = 3(2)^2 – 2(2) + 5

Next conduct PEMDAS

Exponents are first so solve 2^2 which is 2 x 2 = 4

g(x) = 3(4) – 2(2) + 5

Next step is multiplication multiply 3 x 4 and 2x2

g(x) = 12 – 4 + 5

conduct adding and subtracting left from right

g(x) = 13

10. If the triangle has a perimeter
of 33 inches and has sides
measuring x + 2, X-6, and 2x + 1,
find the value of x.

Answers

Download Cymath it help you

Use triangles ABC and A'B'C' for Exercise. Use the coordinates to find the lengths of the sides.
please help is due in 20 minutes

Answers

Answer:

AB = 2

BC = 2

A'B' = 6

B'C' = 6

Step-by-step explanation:

help plssss I will do anythinv

Answers

the answer is 3 feet 7 inches

Please help don’t know answer

Answers

Answer: y= X+3

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y- intercept

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