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
V125BC [204]
3 years ago
12

2x+y=5 -x+2y=4 How do you solve this

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
The answer to your problem is
x=5/2
y=5

x=-4
y=2
You might be interested in
An auto mechanic ordered eight car spark plugs and four truck spark plugs. Car spark plugs cost $.75, and truck spark plugs cost
Sidana [21]
$.75(8) + $3.00(4) =
$6 + $12 = $18
7 0
3 years ago
X²+Y²=250 and XY=117<br> What are the values of X and Y?
yan [13]

Answer:

<h3>            x = -9,  y = -13 </h3><h3>    or    x = 13,   y = 9</h3><h3>    or    x = -13,  y = -9</h3><h3>    or     x = 9,   y = 13</h3>

Step-by-step explanation:

x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad  x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}

y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9

6 0
3 years ago
How do you solve 30 and 31
Westkost [7]

Answer:

(#30) 1.12 miles

Step-by-step explanation:

9.7x.75=7.27

r=7.27

8.2x.75=6.15

e=6.15

7.27-6.15=1.12

1.12 miles

8 0
3 years ago
The dimensions of a basketball court are shown below. Suppose a player throws the ball from a corner to a teammate standing at t
creativ13 [48]

The 94 ft. by 50 ft dimensions of the court obtained from a similar question posted online, gives;

a. The ordered pair representing the location of the player in the bottom right corner is (47, -25)

b. The distance traveled by the ball obtained using Pythagorean theorem, is approximately 53.2 feet.

<h3>How can Pythagorean theorem be used to find the distance the ball travels?</h3>

The possible dimensions of a rectangular court obtained from a similar question posted online are;

Length of the basketball court = 94ft.

Width of the basketball court = 50 ft.

From the question, we have;

Location of the court center = The origin of a coordinate plane

a. The ordered pair that represent the location of a player in the bottom right corner is found as follows;

Let (x, y) represent the coordinates of the bottom right corner of the court, we have;

Horizontal distance from the center of the court (the origin) to the right boundary of the court, <em>x </em>= (94 ft.)/2 = 47 ft.

Vertical distance from the center to bottom of the court, <em>y </em>= (50 ft.)/2 = 25 ft.

Following the convention of points to the right and above the origin being positive, while points below the origin are negative, we have;

The ordered pair (the coordinates of the player) that represents the location of the player in the bottom right corner is therefore;

  • (x, y) = (47, -25)

b. The distance, <em>d</em>, that the ball travels is given by Pythagorean theorem as follows;

d = √((47 - 0)² + ((-25) - 0)²) = √(2834) ≈ 53.2

  • The ball travels approximately 53.2 feet.

Learn more about Pythagorean theorem here:

brainly.com/question/21332040

#SPJ1

4 0
1 year ago
1. 5/6 x10
REY [17]
Do you need decimal, exact form, or mixed number?
6 0
2 years ago
Read 2 more answers
Other questions:
  • Jade and Ali set the alarms on their phones to sound at 7.15 am.
    14·1 answer
  • Solve -np-80&lt;60 for n. Show your work.<br><br> Solve 2a-5d=30 for d. Show your work.
    5·1 answer
  • Don't mind the other one i click it was on mistake!
    7·1 answer
  • What will be the remainder when 6x ^5+ 4x^4 -27x^
    12·1 answer
  • Find the area of the shaded region. Round your answer to the nearest hundredth.
    12·1 answer
  • 1.The value of 8 dimes is
    14·2 answers
  • Please help me ASAP!!!
    7·1 answer
  • Which values from the set {-6,-4,-3, -1 0 and 2} satisfy this inequlity? -1/2x+3&gt;5
    12·1 answer
  • Please help!! this is algebra 2​
    15·1 answer
  • Help me pls<br> jkcxkjhvbxljbejkrj
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!