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
dmitriy555 [2]
3 years ago
7

Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

You might be interested in
The figure below shows a circular park. Its radius is 18 yd.
Naddika [18.5K]
  • Radius=r=18yd

Circumference

  • 2πr
  • 2(18)(3.14)
  • 36(3.14)
  • 113.04yd

Area

  • πr²
  • π(18)²
  • 324π yd²
3 0
2 years ago
Read 2 more answers
Find the volume of the cone.
Alona [7]

answer:

2,558

step-by-step explanation:

the formula for the volume of a cone is v=πr²h/3

with that let us 'fill in' the formula-

v=π*9.6²*26.5/3

v=2,557.51

then since you've asked us to round the answer to the nearest whole number that would be 2,558

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

5 0
3 years ago
Simplify:
Nuetrik [128]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
HELP PICTURE IS SHOWN
Vedmedyk [2.9K]
The answer is c) 45 times PI cubed.
4 0
3 years ago
Describe how making a list can help you solve a math problem.
Margarita [4]
Making a list can help you solve a problem by:
•making more organized
•it can make it easier to organize data
•helps you stay on track

those are some of the basic ways,
8 0
3 years ago
Read 2 more answers
Other questions:
  • A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during
    6·1 answer
  • You're insecure
    13·2 answers
  • F(x) = x3 – 4x² - 6x – 32 at x = 6
    14·1 answer
  • At Huge University, a sample of 200 business school seniors showed that 26 planned to pursue an MBA degree, compared with 120 of
    12·1 answer
  • You have $10 to go bowling with your friends. You need to rent shoes for $4. Each game (g) costs $3. Write and solve an equation
    7·1 answer
  • Force of 55 pounds. How much work is done in moving the cart 30 feet if the cart's handle makes an angle of 19° with the ground?
    15·1 answer
  • Need someone’s help please
    9·1 answer
  • Which measure is less than 435 inches
    5·2 answers
  • -4(8h-5)= -16 round to the nearnest hundreth
    7·1 answer
  • Help I’m so bad at math
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!