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
Morgarella [4.7K]
3 years ago
11

Which coordinate pairs make the equation x-9y=12 true?

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12

12 does equal 12, so (0, -4/3) makes the equation true.

You might be interested in
What type of angle is formed by the base and height of a triangle?​
Harrizon [31]

Answer:

the Angle is an Acute

Step-by-step explanation:you can't but a little box in it and it it not a 90 degree angle

3 0
3 years ago
I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
Dmitrij [34]

Answer:

V = \frac{450L - 6 L^{3} }{10}

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

V = L^{2} H

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

<u>Area:</u>

Base: L×L = L^{2}

Roof: L×L = L^{2}

Side: 4 H×L = 4HL  (we have considered all four sides)

<u>Cost:</u>

Base: 4L^{2}

Roof: 2L^{2}

Side: 2.50 * 4HL = 10 HL

Total cost:

4L^{2} + 2L^{2} + 10 HL = 450

We simplify this equation further:

6L^2 + 10<em>HL </em>= 450

10HL = 450 - 6L^2

H = \frac{450- 6 L^2}{10L}  

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting H = \frac{450-6L}{10L}  in  V = L^{2} H :

V = L^2 × \frac{450 - 6L }{10L}

Simplifying it further:

V = L × \frac{450 - 6L}{10}

V= \frac{450L - 6L^3}{10} is the final answer.

3 0
3 years ago
Help help help help help
Aleks [24]

Answer:

I think it is A ..... ........

5 0
2 years ago
The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is give
Sholpan [36]
The y intercept is 1.5x+22.7 + the linear equation which is 22
8 0
2 years ago
A tree cast a shadow of 30m long and a 2m stick casts one that is 3m long. As show in the below diagram how tall is the tree?​
PSYCHO15rus [73]

Answer:

  • 20 m

Step-by-step explanation:

<u>We have similar triangles here.</u>

  • BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC

<u>The ratio of corresponding sides of similar triangles is same:</u>

  • BC/DE = AC/AE
  • BC / 2 = 30/3
  • BC / 2 = 10
  • BC = 2*10
  • BC = 20 m
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation of a line that contains the point (4, 0) and is parallel to x + y = 2?
    15·1 answer
  • The first day of Alex's trip was a Monday. What day of the week was Day 393939 of Alex's trip? Select the correct answer. Day 39
    12·1 answer
  • Each side of a square is (7 + 3x) units. Which is the perimeter of the square​
    8·1 answer
  • The probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls , and 1 squishy
    12·2 answers
  • Write <br> 7 <br> 2<br> 5<br> as an improper fraction.
    11·2 answers
  • On a coordinate plane, triangle A has points (negative 2, 0), (negative 6, 0), (negative 4, 4). Triangle A prime has points (1,
    5·2 answers
  • Chet stopped in the ski lodge and spent $4.95 on Tums and a cup of
    13·1 answer
  • If you know how to do this please help me and if you don't PLEASE DONT SUBMIT AN ANSWER please let others to answer it int the c
    13·1 answer
  • A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the
    15·2 answers
  • Two gears are connected and rotating at the same time. The smaller gear completes 2 1/2 rotations every time the larger gear com
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!