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
Nimfa-mama [501]
3 years ago
10

The area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is

known that parabola opens upward.

Mathematics
1 answer:
garri49 [273]3 years ago
8 0
ANSWER


a = \frac{4}{5}


EXPLANATION

The given parabola has equation,

y = a(x + 5)(x - 1)

The y-intercept is

y = a(0+ 5)(0- 1)

y = - 5a

This gives one vertex of the triangle to be,

(0,-5a)

The x-intercept is

a(x + 5)(x - 1) = 0

This implies

(x + 5)(x - 1) = 0

(x + 5) = 0 \: or \: (x - 1) = 0

x = - 5 \: or \: x = 1

The other two vertices of the triangle is,

(-5,0),(1,0)

The height of this triangle is

h = 5a

Area= \frac{1}{2} \times base \times height

12= \frac{1}{2} \times 6 \times 5a

12 = 15a

a = \frac{12}{15}

a = \frac{4}{5}

Since

a > \: 0
it means the parabola opens upwards.

You might be interested in
Wavelength varies inversely with frequency
marissa [1.9K]

Answer:

xy=302,400

Step-by-step explanation:

i just did the problem right now on edge and that's what i got

hope this helps and that I'm not too late

6 0
3 years ago
Read 2 more answers
Find the slope of the line containing the given points
Luden [163]

Answer:

-9/8

Step-by-step explanation:

The two points given are

(1,6) and (9,-3)

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-3-6)/(9-1)

   = -9/8

8 0
2 years ago
After evaluating Olya’s monthly budget, which of the following would not be an option to help reduce her debt?
frosja888 [35]
The answer is B.<span>Olya could skip a month or two paying for her school loan and put the money towards her credit card debt. just took the test..</span>
6 0
3 years ago
Read 2 more answers
In the figure below the y-axis points north, the x-axis points east, and the xy-plane corresponds to the surface of the water. S
Sergeeva-Olga [200]
So the question ask to find the displacement vector and the distance from the submarine to the boat. Base on my calculation the displacement value of the given data you give is <(5-3),(1-4)(-5-0)>. I hope you are satisfied with my answer and feel free to ask for more 
4 0
2 years ago
Which shape has no parallel sides?<br> rectangle<br> trapezoid<br> square<br> triangle
nadezda [96]

Answer:

Triangle

Step-by-step explanation:

all of them have parallel sides except triangle

5 0
2 years ago
Read 2 more answers
Other questions:
  • 1. What are the steps you take to add polynomials? What do you do?
    9·1 answer
  • Like and not like terms
    7·2 answers
  • Marla’s mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is t
    9·2 answers
  • Simplify 3f-2f+f I need a answer for that please
    6·1 answer
  • Help....................btw school test
    7·2 answers
  • Help me with these equations
    8·1 answer
  • 100 POINTS PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Convert 25/6 into a mixed number
    5·2 answers
  • 76 1/2 long division write each rational number as a terminating
    14·1 answer
  • Can't understand tbh anyone willing give a go?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!