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
Dahasolnce [82]
3 years ago
8

Match each system of equations with its number of solutions

Mathematics
2 answers:
Likurg_2 [28]3 years ago
7 0

Answer:

Answer:

8x + 7y = 30 ( one solution)

8x - 7y = 2

-8x + 7y = -2 ( infinitely many solutions )

8x - 7y = 2

8x - 7y = 2

-8x + 7y = 2 ( zero solutions )

Step-by-step explanation:

Ostrovityanka [42]3 years ago
5 0

Answer:

8x + 7y = 30 ( one solution)

8x - 7y = 2

-8x + 7y = -2 ( infinitely many solutions )

8x - 7y = 2

8x - 7y = 2

-8x + 7y = 2 ( zero solutions )

You might be interested in
The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\
600 = (x+5)(x+4)\\
600 =  x^{2} + 9x + 20


Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST!
Nesterboy [21]

Answer:

$6

Step-by-step explanation:

So we get 5 hrs.

1____2____3____4____5

$2 + $1 + $1 + $1 + $1 = $6

4 0
3 years ago
Need help for question 8 and 9. I need the equation that’s passes through the points!
dsp73

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = \frac{y_2-y_1}{x_2-x_1}

For two points (1, 4) and (5, 8),

m = \frac{8-4}{5-1}

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = \frac{y_2-y_1}{x_2-x_1}

For two points (2, 10) and (6, 4)

m = \frac{10-4}{2-6}

m = -\frac{3}{2}

By substituting the value of 'm' in the equation,

y = -\frac{3}{2}x+b

Since, this line passes through (2, 10)

10 = -\frac{3}{2}(2)+b

b = 10 + 2

b = 12

Therefore, equation of the line will be,

y=-\frac{3}{2}x+12

4 0
3 years ago
Please help need answer. NO LINKS
nikklg [1K]

Answer:

Answer choice C) 3a-3

Step-by-step explanation:

Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.

7 0
3 years ago
A student made an error when solving this problem. A number divided by 4 is 3 more than –11. What is the number?
fiasKO [112]
C is the right anskwe
4 0
3 years ago
Other questions:
  • I need help plz help me
    15·1 answer
  • How do you turn 1.83 into a fraction
    9·2 answers
  • If BD = 7x - 10, BC = 4x – 29, and CD = 5x – 9,<br> find BC
    12·1 answer
  • According to the American Lung Association, 7% of the population has lung disease. Of those having lung disease, 90% are smokers
    7·1 answer
  • Which of the following are necessary when proving that the diagonals of a
    9·2 answers
  • Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard form
    8·1 answer
  • 2/3 and 7/8 fraction whos weighed more
    8·2 answers
  • Help asap please!! I will mark you as brainliest :)
    11·2 answers
  • Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
    14·1 answer
  • The side length of a cube is (x^2-1/2).<br> Determine the volume of the cube.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!