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
Nikolay [14]
3 years ago
11

The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k

nown that parabola opens downward.

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

  a = -1/2

Step-by-step explanation:

In order for the triangle with a base of 4-1 = 3 units to have an area of 3 square units, the height of it must be 2. Since the parabola opens downward, the y-intercept of the equation must be -2. Filling in known values for that point, we have ...

  -2 = a(0 -1)(0 -4)

  -2 = 4a . . . . . . . . . simplify

  -2/4 = a = -1/2

You might be interested in
Need help w this question thanksss!
elena55 [62]

Given:

A figure of a circle.

To find:

The value of x.

Solution:

Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.

Using the central angle theorem, we get

x=2\times 35^\circ

x=70^\circ

Therefore, the value of x is 70 degrees.

4 0
2 years ago
Fill in the missing number to make the sentence true ?/6 < 1/2
Ira Lisetskai [31]

Answer:

1 or 2

Step-by-step explanation:

1/6 < 1/2 (because 1/2 = 3/6 and 1/6 < 3/6)

2/6 < 1/2 (because 2/6 = 1/3 and if we convert these numbers to decimals, then 0.33 [2/6] < 0.5 [1/2])

8 0
3 years ago
Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she
avanturin [10]

Answer:

A. 24

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the area of this triangle
Julli [10]
By the looks of it the hieght is 7 and base is 6 so

A= 1/2(6)(7)
A= 1/2(42)
A= 21
4 0
3 years ago
PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).
goblinko [34]

Answer:

  • (4, - 4)

Step-by-step explanation:

<u>Given system:</u>

  • -x + y = 8
  • 7x + 3y = - 16

<u>Multiply the first equation by 7 and add up the equations:</u>

  • -7x + 7y + 7x + 3y = 7*8 - 16
  • 10y = 40
  • y = 4

<u>Find y:</u>

  • -x + 4 = 8
  • -x = 4
  • x = - 4
3 0
2 years ago
Read 2 more answers
Other questions:
  • The method used to factor trinomials of the form ax^2+bx+c can also be used to factor binomials of the form px^2+q by realizing
    11·1 answer
  • The fraction in order form least to greatest 1/2 2/5 6/10
    5·2 answers
  • 10. If AB = BC, AX = 4x + 5, and<br> CX = 15, find AC.
    6·1 answer
  • Tyrone likes to snack on his big bag of candy. he takes 8 pieces of candy from the bag each time he snacks.After eating 18 snack
    7·1 answer
  • Can anyone help? 25 points
    6·1 answer
  • (WILL GIVE BRAINLIEST) Mrs jackson gave a sum of money to her son and daughter in the ratio 8:9 if her daughter recieved $3060.
    5·1 answer
  • Will give brainly. Please help
    15·1 answer
  • A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening a
    13·1 answer
  • Can anybody help please?
    7·2 answers
  • I need help asap !!!!! Olease
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!