1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maslowich
3 years ago
7

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 i

t is known that parabola opens upwards
Mathematics
2 answers:
RUDIKE [14]3 years ago
6 0

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

Sladkaya [172]3 years ago
4 0

Answer:

2/3

Step-by-step explanation:

You might be interested in
Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).
mamaluj [8]

Hello : let  A(3,0)    B(0,-5)<span>
the slope is :   (YB - YA)/(XB -XA)
(-5-0)/(0-3)  = 5/3
</span>

<span> an equation, in the slope intercept form is : y - (-5) = (5/3)(x-0)
y = (5/3)x - 5</span>
6 0
3 years ago
Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Ierofanga [76]

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

  • a = 1
  • b = 2
  • Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

6 0
3 years ago
Read 2 more answers
I have no idea how to do this someone help
vagabundo [1.1K]
Its absolute value so the negative on the inside would change to positive, so the answer would remain -7 and 3/5. same with the other one, except you multiply the 3 to the -1, making it -3
7 0
3 years ago
Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?
GarryVolchara [31]

Step-by-step explanation:

1. 1/4(x + 12)=2 - first isolate X'

         - 12 -12

2. 1/4(x) = -10  - 1/4  since its a fraction, you'll have to subtract not divide

-1/4    - 1/4

3. x = -10.25

Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.

8 0
3 years ago
Please answer. Will mark the brainliest and will give 20 points.
Dimas [21]

Answer: it is C

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which of the following are steps in practical problem solving? Assign an identifying variable to the quantity to be found. Make
    14·2 answers
  • A School decides to organize field trips for all students. Tickets for first years were sold at GH¢0.40 per student and continui
    13·1 answer
  • An arena that hosts sporting events and concerts has three sections for 3 levels of seating. For a basketball game seats in Sect
    11·2 answers
  • Tanya has a bond with a 5.9 yield, a big price of $1950, and a face value of $2000. what is the original coupon rate of this bon
    7·2 answers
  • What is 4- 1 1/4 + 1/2
    11·1 answer
  • The table shows the dimensions of four wedges.
    7·2 answers
  • Find:-
    9·2 answers
  • What is the equation of the following? Someone could help me to understand this? thank you​
    8·1 answer
  • Also this one if not a problem.​
    12·2 answers
  • GH has a midpoint at M (5,9). Point H is at (8,9). Find the coordinates of point G
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!