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
Kaylis [27]
3 years ago
15

The line 2x + 3y = 8 meets the curve 2x² + 3y² = 110 at the points of A and B. Find the coordinates of A and B.

Mathematics
2 answers:
iren [92.7K]3 years ago
7 0
From (1), we get x = (8 - 3y) / 2 ––(3)

Substitute (3) into (2),

2 [(8 - 3y) / 2]² + 3y² = 110

(8 - 3y)² + 3y² = 220

15y² - 48y - 156 = 0

Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8

OR y = -2, then x = [8 - 3×(-2)] / 2 = 7

The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Anton [14]3 years ago
5 0
Good day //////////////

You might be interested in
a car travels 350 miles on 20 gallons of gasoline. How many gallons will be used to tavel 875 miles under the same conditions?
Maslowich
350/20 = unit rate

350/20 = 17.5 or 17 and 1/2

17.5 miles per one gallon

875/17.5 = 50 gallons

Answer: 50 gallons of gas
3 0
3 years ago
Rewrite each of the following as an expression of x which does not involve any logs. 100^log10(x)
Lana71 [14]
- Rewrite each of the following as an expression of x which does not involve any logs<span>.? Can someone show me ... Best Answer: To do it you have to know that 1000 = 10³ ; </span>100<span> = 10² ; .01 = 10^-2 </span>log 10<span>^3x = 3x 10^(2logx) = x²</span>
8 0
3 years ago
Pineapples cost $2.50 each and mangos cost $1.50 each. Tim purchased 15 pieces of fruit for $29.50. How many pineapples and how
kotykmax [81]
We can create equations to solve this.

2.50p + 1.50m = 29.50
p + m = 15

Solve for a variable in the 2nd equation and use the substitution method to solve.

p + m = 15

Subtract p to both sides:

m = -p + 15

Plug in -p + 15 for m in the first equation.

2.50p + 1.50(-p + 15) = 29.50

Distribute:

2.50p - 1.50p + 22.50 = 29.50

Combine like terms:

p + 22.50 = 29.50

Subtract 22.50 to both sides:

p = 7

Now plug this into any of the two equations and solve for the other variable.

p + m = 15

7 + m = 15

Subtract 7 to both sides:

m = 8

So he purchased 7 pineapples and 8 mangos.
4 0
3 years ago
Help asap please and thank you…
timama [110]

Answer:

negative 5/7

Step-by-step explanation:

count up 5, count left 7

negative slope so negative 5/7

7 0
3 years ago
A bowl in Mr. Layman's classroom contains a total of 300 red and green Skittles, The number of red Skittles equals 3 times as ma
Vedmedyk [2.9K]

Answer:

you need to put the answer choices to pick from (I will edit this when you put them)

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Sam has read 3/6 of his assessments Judy has read 4/8 of her assessments their assessments where the same size which is true
    13·1 answer
  • What is wrong with the following equation: 4 + (10 / 5) = 6 - 2
    10·1 answer
  • 3.61 In 2000 the population of California consisted of approximately 80% white, 8% black, and 12% Asian. Perform the following c
    10·1 answer
  • Isabell is standing at the top of a waterslide that leads to a pool below. the angle of depression from top of the slide to the
    8·2 answers
  • 11.49 for 3 packages ​
    14·1 answer
  • Please help !! giving brainiest to whoever helps
    14·1 answer
  • Fill the missing ones in if you do i will you give you a crown thing plsssss helpp
    10·1 answer
  • Please help it due asap <br> thanks
    14·1 answer
  • Lines L and M are parallel.
    5·1 answer
  • Select all the expressions equivalent to:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!