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
Mrac [35]
3 years ago
8

Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.

Mathematics
1 answer:
LiRa [457]3 years ago
5 0
3x - y = 0 . . . (1)
5x + 2y = 22 . . . (2)

From (1), y = 3x . . . (3)

Putting (3) into (2) gives:
5x + 2(3x) = 22
5x + 6x = 22
11x = 22
x = 2

From (3), y = 3(11) = 33

x = 11, y = 33.
You might be interested in
the radius of the inner white circle of the doughnut is 2cm. The circumference of the outer edge of the doughnut is 43.96cm. Wha
Elenna [48]

Answer:

141.4 sq cm

Step-by-step explanation:

to find the area of the outer circle with a smaller circle inscribed within, you find the area of each and subtract the smaller area from the larger

the radius of the smaller circle is 2

we have to find the radius of the larger circle so we use what we know about its circumference:

C = 2πr

43.96 = 2πr

21.98 = πr

21.98 / π = r

r ≈ 7 cm

now use r = 7 to find area of larger circle:

A = πr²

A = π49

Area of smaller circle:  4π

Area of larger circle without including inner section is 49π - 4π = 45π

45π ≈ 141.4 sq cm

7 0
3 years ago
True or False: A segment may have more then one midpoint?
Tcecarenko [31]

Answer: False


Step-by-step explanation: By defintion a midpoint is the middle of the segment, and there canno't e more then one middle of something.


5 0
3 years ago
write a system of linear equations that has only one solution. solve the system of equations in two ways.
Iteru [2.4K]
X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.

Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
7 0
3 years ago
Please HELPppppppppppppppp
aleksandr82 [10.1K]

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

6 0
3 years ago
the length of a rectangle is 4a + 5, the width of the same rectangle is 2a -3 if the perimeter of the rectangle is 76 what is th
viktelen [127]

Answer:

Here

perimeter=76

length =4a+5

breadth=2a-3

we know,

perimeter=2(length+breadth)

76=2(4a+5+2a-3)

76=2(7a+2)

76=14a+4

76-4=14a

72=14a

72÷14=a

a=5.14

7 0
2 years ago
Other questions:
  • What is the surface area of the cube below?
    13·1 answer
  • Pam and her Brother both open a savings account each begin with the balance of zero dollars for every two dollars that Pam saves
    9·1 answer
  • Use the 2 highlighted points to find the equation of a trend line in slope intercept form
    9·2 answers
  • What is the slope?? what is the y-intercept
    7·2 answers
  • Can someone help me with this asap.
    10·1 answer
  • X | Y<br> 5 | 0<br> 6 | -2<br> 7 | 10<br> 8 | -3<br><br> What is the <br> D=<br> R=<br> Function ?
    10·1 answer
  • Sum of three-quarters and doubled the cube of k is equal to 1
    10·1 answer
  • Find the interest earned for $650 at 2% for 6 years
    11·2 answers
  • What is the slandered form of equation y = -3/2 x + 5
    7·1 answer
  • Can you find the y=mx+b?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!